This paper continues our work on a coherence-based probability semantics for Aristotelian syllogisms (Gilio, Pfeifer, and Sanfilippo, 2016; Pfeifer and Sanfilippo, 2018) by studying Figure III under coherence. We interpret the syllogistic sentence types by suitable conditional probability assessments. Since the probabilistic inference of P|S from the premise set {.

Probabilistic inference forms lead from point probabilities of the premises to interval probabilities of the conclusion. The probabilistic version of Modus Ponens, for example, licenses the inference from \({P(A) = \alpha}\) and \({P(B|A) = \beta}\) to \({P(B)\in [\alpha\beta, \alpha\beta + 1 - \alpha]}\) . We study generalized inference forms with three or more premises. The generalized Modus Ponens, for example, leads from \({P(A_{1}) = \alpha_{1}, \ldots, P(A_{n})= \alpha_{n}}\) and \({P(B|A_{1} \wedge \cdots \wedge A_{n}) = \beta}\) to an according interval for (...) P(B). We present the probability intervals for the conclusions of the generalized versions of Cut, Cautious Monotonicity, Modus Tollens, Bayes’ Theorem, and some SYSTEM O rules. Recently, Gilio has shown that generalized inference forms “degrade”—more premises lead to less precise conclusions, i.e., to wider probability intervals of the conclusion. We also study Adam’s probability preservation properties in generalized inference forms. Special attention is devoted to zero probabilities of the conditioning events. These zero probabilities often lead to different intervals in the coherence and the Kolmogorov approach. (shrink)

Elicitation methods in decision-making under risk allow us to infer the utilities of outcomes as well as the probability weights from the observed preferences of an individual. An optimally efficient elicitation method is proposed, which takes the inevitable distortion of preferences by random errors into account and minimizes the effect of such errors on the inferred utility and probability weighting functions. Under mild assumptions, the optimally efficient method for eliciting utilities and probability weights is the following three-stage (...) procedure. First, a probability is elicited whose subjective weight is one half. Second, the utility function is elicited through the midpoint chaining certainty equivalent method using the probability elicited at the first stage. Finally, the probability weighting function is elicited through the probability equivalent method. (shrink)

We study probabilistically informative (weak) versions of transitivity by using suitable definitions of defaults and negated defaults in the setting of coherence and imprecise probabilities. We represent p-consistent sequences of defaults and/or negated defaults by g-coherent imprecise probability assessments on the respective sequences of conditional events. Moreover, we prove the coherent probability propagation rules for Weak Transitivity and the validity of selected inference patterns by proving p-entailment of the associated knowledge bases. Finally, we apply our results to (...) study selected probabilistic versions of classical categorical syllogisms and construct a new version of the square of opposition in terms of defaults and negated defaults. (shrink)

We present a coherence-based probability semantics for (categorical) Aristotelian syllogisms. For framing the Aristotelian syllogisms as probabilistic inferences, we interpret basic syllogistic sentence types A, E, I, O by suitable precise and imprecise conditional probability assessments. Then, we define validity of probabilistic inferences and probabilistic notions of the existential import which is required, for the validity of the syllogisms. Based on a generalization of de Finetti's fundamental theorem to conditional probability, we investigate the coherent probability (...) class='Hi'>propagation rules of argument forms of the syllogistic Figures I, II, and III, respectively. These results allow to show, for all three Figures, that each traditionally valid syllogism is also valid in our coherence-based probability semantics. Moreover, we interpret the basic syllogistic sentence types by suitable defaults and negated defaults. Thereby, we build a knowledge bridge from our probability semantics of Aristotelian syllogisms to nonmonotonic reasoning. Finally, we show how the proposed semantics can be used to analyze syllogisms involving generalized quantifiers. (shrink)

This chapter presents probability logic as a rationality framework for human reasoning under uncertainty. Selected formal-normative aspects of probability logic are discussed in the light of experimental evidence. Specifically, probability logic is characterized as a generalization of bivalent truth-functional propositional logic (short “logic”), as being connexive, and as being nonmonotonic. The chapter discusses selected argument forms and associated uncertainty propagation rules. Throughout the chapter, the descriptive validity of probability logic is compared to logic, which was (...) used as the gold standard of reference for assessing the rationality of human reasoning in the 20th century. (shrink)

‘Probability logic’ might seem like an oxymoron. Logic traditionally concerns matters immutable, necessary and certain, while probability concerns the uncertain, the random, the capricious. Yet our subject has a distinguished pedigree. Ramsey begins his classic “Truth and Probability” with the words: “In this essay the Theory of Probability is taken as a branch of logic. … “speaks of “the logic of the probable.” And more recently, regards probabilities as estimates of truth values, and thus probability (...) theory as a natural outgrowth of two‐valued logic—what he calls “probability logic.” However the point is put, probability theory and logic are clearly intimately related. This chapter explores some of the multifarious connections between probability and logic, and focuses on various philosophical issues in the foundations of probability theory. (shrink)

We study probabilistically informative (weak) versions of transitivity by using suitable definitions of defaults and negated defaults in the setting of coherence and imprecise probabilities. We represent p-consistent sequences of defaults and/or negated defaults by g-coherent imprecise probability assessments on the respective sequences of conditional events. Finally, we present the coherent probability propagation rules for Weak Transitivity and the validity of selected inference patterns by proving p-entailment of the associated knowledge bases.

Richard Jeffrey developed the formula for probability kinematics with the intent that it would show that strong foundations are epistemologically unnecessary. But the reasons that support strong foundationalism are considerations of dynamics rather than kinematics. The strong foundationalist is concerned with the origin of epistemic force; showing how epistemic force is propagated therefore cannot undermine his position. The weakness of personalism is evident in the difficulty the personalist has in giving a principled answer to the question of when the (...) conditions for the application of the kinematic formula—the rigidity of the posteriors—are fulfilled, a problem made intractable by the personalist commitment to treating changes in intermediate probability as unexplained surds. Because the strong foundationalist admits changes in the intermediate probability of propositions only when there is some change in the foundations, he can avail himself of ananswer to the problem of the rigidity of the posteriors which the personalist cannot regard as complete. While probability kinematics does not make certain foundations unnecessary, the possession of certain foundations also does not make the probability kinematics formula superfluous. The formula allowsus to model the indirect routes by which the foundations influence various non-foundational propositions in the probability distribution. (shrink)

Richard Jeffrey developed the formula for probability kinematics with the intent that it would show that strong foundations are epistemologically unnecessary. But the reasons that support strong foundationalism are considerations of dynamics rather than kinematics. The strong foundationalist is concerned with the origin of epistemic force; showing how epistemic force is propagated therefore cannot undermine his position. The weakness of personalism is evident in the difficulty the personalist has in giving a principled answer to the question of when the (...) conditions for the application of the kinematic formula—the rigidity of the posteriors—are fulfilled, a problem made intractable by the personalist commitment to treating changes in intermediate probability as unexplained surds. Because the strong foundationalist admits changes in the intermediate probability of propositions only when there is some change in the foundations, he can avail himself of ananswer to the problem of the rigidity of the posteriors which the personalist cannot regard as complete. While probability kinematics does not make certain foundations unnecessary, the possession of certain foundations also does not make the probability kinematics formula superfluous. The formula allowsus to model the indirect routes by which the foundations influence various non-foundational propositions in the probability distribution. (shrink)

An important field of probability logic is the investigation of inference rules that propagate point probabilities or, more generally, interval probabilities from premises to conclusions. Conditional probability logic (CPL) interprets the common sense expressions of the form “if . . . , then . . . ” by conditional probabilities and not by the probability of the material implication. An inference rule is probabilistically informative if the coherent probability interval of its conclusion is not necessarily equal (...) to the unit interval [0, 1]. Not all logically valid inference rules are probabilistically informative and vice versa. The relationship between logically valid and probabilistically informative inference rules is discussed and illustrated by examples such as the modus ponens or the affirming the consequent. We propose a method to evaluate the strength of CPL inference. (shrink)

Correlation meaning interaction for physical occurrences, the joint probability formalizes this interaction and conceptualizes a stochastic causality. Bayesian reversibility then expresses action-reaction symmetry for spacelike, und cause-effect symmetry for timelike, separations. Information-negeutropy equivalence (that is. reversibility of the twin-faced information concept) extends Mehlberg's “lawlike reversibility” and vindicates Wigner's claim that psychokinesis is reciprocal to gain in knowledge. A covariant axiomatization of probabilities as expressing physical interaction, and displaying the spacetime propagation of information, is proposed. Its correspondence (but essential (...) difference) with the quantum calculation recipe is evidenced. The unfolding paradigm of a twin-faced reality- and- representation universe is stressed, and Pauli's hints in this direction are mentioned. (shrink)

In this article we present symmetric diffusion networks, a family of networks that instantiate the principles of continuous, stochastic, adaptive and interactive propagation of information. Using methods of Markovion diffusion theory, we formalize the activation dynamics of these networks and then show that they can be trained to reproduce entire multivariate probability distributions on their outputs using the contrastive Hebbion learning rule (CHL). We show that CHL performs gradient descent on an error function that captures differences between desired (...) and obtained continuous multivariate probability distributions. This allows the learning algorithm to go beyond expected values of output units and to approximate complete probability distributions on continuous multivariate activation spaces. We argue that learning continuous distributions is an important task underlying a variety of real‐life situations that were beyond the scope of previous connectionist networks. Deterministic networks, like back propagation, cannot learn this task because they are limited to learning average values of independent output units. Previous stochastic connectionist networks could learn probability distributions but they were limited to discrete variables. Simulations show that symmetric diffusion networks can be trained with the CHL rule to approximate discrete and continuous probability distributions of various types. (shrink)

Siphonous seaweeds, which constitute a vital component of coral reefs, are structurally simple, single‐celled coenocytic macroscopic green algae. Kim et al.1 have recently shown the extraordinary wound‐repair and propagation mechanism of one such siphonous green alga—Bryopsis plumosa. Nucleocytoplasmic aggregates, which are released after injury to this plant, are membraneless structures that can survive in seawater for 10–20 minutes, before they are surrounded by a gelatinous envelope. Subsequently, a cell membrane and cell wall are synthesized around each of these aggregates (...) and the resulting individual cells, so formed, develop into new plants. This report represents a significant advance in our understanding of wound response and, more significantly, is probably the first example of transient survival of life without a cell membrane! BioEssays 24:588–590, 2002. © 2002 Wiley Periodicals, Inc. (shrink)

The centuries-long evolution of the iconography of Niccolò Machiavelli is itself a chapter in the history of Machiavelli’s reputation. As intuited by one of his foremost biographers, Oreste Tommasini, portraits of the Florentine are probably best considered as visual expressions of philosophical and literary anti-Machiavellism, which exercised, in their own way, a negative influence on the reception and interpretations of his writings. The Machiavelli who we have seen represented over the course of history in paintings, prints, and engravings may be (...) nothing more, therefore, than a Machiavellian persona: the visual translation of a conventional and stereotypical interpretation, which considers the author of The Prince to be the champion of a politics based on duplicity, cunning, deceit, and guile. This essay examines the origins and dissemination over the centuries of ‘La Testina’, one of the most celebrated and widely publicized portraits of Machiavelli. The conclusion, after comparing all of the extant variants of this portrait, is that it is an unfaithful and invented graphic representation of Machiavelli, whose fortunes in publishing and in the collective imagination have kept pace with the spread of a demonizing interpretation of Machiavelli, the master of evil, well-rooted even today in mass popular culture. (shrink)

A coherence-based probability semantics for categorical syllogisms of Figure I, which have transitive structures, has been proposed recently (Gilio, Pfeifer, & Sanfilippo [15]). We extend this work by studying Figure II under coherence. Camestres is an example of a Figure II syllogism: from Every P is M and No S is M infer No S is P. We interpret these sentences by suitable conditional probability assessments. Since the probabilistic inference of ~????|???? from the premise set {????|????, ~????|????} is (...) not informative, we add ????(????|(????∨????))>0 as a probabilistic constraint (i.e., an “existential import assumption”) to obtain probabilistic informativeness. We show how to propagate the assigned (precise or interval-valued) probabilities to the sequence of conditional events (????|????,~????|????,????|(????∨????)) to the conclusion ~????|???? . Thereby, we give a probabilistic meaning to the other syllogisms of Figure II. Moreover, our semantics also allows for generalizing the traditional syllogisms to new ones involving generalized quantifiers (like Most S are P) and syllogisms in terms of defaults and negated defaults. (shrink)

In Homer’s account of the adventurous journey of Odysseus, the song of the sirens was so appealing and tempting that it lured sailors to their deaths. Warned by the goddess Kirke, Odysseus overcame the trap by plugging his crew’s ears with wax. An archaeo-acoustical research expedition undertaken by members of Humboldt University Berlin made sound propagation experiments at the supposedly historical scene at the Galli Islands where it’s said that the sirens originally sung. At the site we broadcasted both (...) synthetic signals and natural voices via loudspeakers in the direction Odysseus most probably should have approached the Siren’s island. Subjective listening as well as objective acoustic analysis of the recorded signals revealed evidence for a combination of site-specific acoustic effects, which may explain the nature and origin of the song of the sirens in Homer. The local arrangement of the three islands deforms the acoustic signals by amplification and by changes in timbre. Two female singers from the Berlin State Opera were asked to sing differently pitched musical intervals to be tested in the Li Galli environment. The experiment evinced that the first overtones would be merged by the echo of the rocks; yet when singing pure thirds and less consonant intervals, which yield higher orders in the overtone series, the voices appear recognisable as being two. As a result, and particularly because Homer stresses the number of exactly two sirens several times, the evidence of our research supports the musicological theory for a rather early existence of enharmonic tunings and most prominently a two-part polyphonic singing of Greek songs. Given that the rocky formation of the Galli Islands most likely didn’t change during the geological tick of just 2,700 years, we conclude that there has been a real acoustic basis for the myth reported by Homer and that a “song of the Sirens”, most probably based on natural voices, was transformed by the particular acoustic conditions of the landscape in such a way that signals were amplified and sent out in one concrete direction. Based on these results, we continue to discuss further leading acoustic theories that offer new insights into the mythology and which were essential to motivate our expedition in the first place. After all, the question remains open what kind of beings the first emitters of the song might have been. (shrink)

The conditional probability interpretation of quantum gravity has been criticized for violating the constraints of the theory and also not giving the correct expression for the propagator. We have shown that following Page’s proposal of constructing an appropriate projector for the stationary state of a closed system, we can arrive at the correct expression for the propagator by using conditional probability rule. Also, it is shown that a unitary evolution of states of a subsystem at local level may (...) be a consequence of non-unitary projection of appropriate states at global level. (shrink)

There is wide support in logic, philosophy, and psychology for the hypothesis that the probability of the indicative conditional of natural language, P(if A then B), is the conditional probability of B given A, P(B|A). We identify a conditional which is such that P(if A then B)=P(B|A) with de Finetti's conditional event, B|A. An objection to making this identification in the past was that it appeared unclear how to form compounds and iterations of conditional events. In this paper, (...) we illustrate how to overcome this objection with a probabilistic analysis, based on coherence, of these compounds and iterations. We interpret the compounds and iterations as conditional random quantities which, given some logical dependencies, may reduce to conditional events. We show how the inference to B|A from A and B can be extended to compounds and iterations of both conditional events and biconditional events. Moreover, we determine the respective uncertainty propagation rules. Finally, we make some comments on extending our analysis to counterfactuals. (shrink)

Quite often the compatibility of the EPR correlations with the relativity theory has been questioned; it has been stated that “the first in time of two correlated measurements instantaneously collapses the other subsystem”; it has been suggested that a causal asymmetry is built into the Feynman propagator. However, the EPR transition amplitude, as derived from the S matrix, is Lorentz andCPT invariant; the correlation formula is symmetric in the two measurements irrespective of their time ordering, so that the link of (...) the correlations is the Feynman zigzag, and that causality isCPT invariant at the microlevel; finally, although the Feynman propagator has theP andCT symmetries, no causal asymmetry follows from that. As for Stapp's views concerning “process” and “becoming,” and his Whiteheadean concept of an advancing front, I object that they belong to “factlike macrophysics,” and are refuted at the microlevel by the EPR phenomenology, which displays direct Fokker-like space-time connections. The reason for this is a radical one. The very blending of a space-time picture and of a probability calculus is a paradox. The only adequate paradigm is one denying objectivity to space-time—but this, of course, is also required by the complementary of the x and the k pictures, which only “look” compatible at the macrolevel. Therefore, the classical “objectivity” must yield in favor of “intersubjectivity.” Only the macroscopic preparing and measuring devices have “factlike” objectivity; the “transition” of the “quantal system” takes place beyond both thex and thek 4-spaces. Then, the intrinsic symmetries between retarded and advanced waves, and statistical prediction and retrodiction, entails that the future has no less (but no more) existence than the past. It is the future that is significant in “creative process,” the “elementary” forms of which should be termed “precognition” or “psychokinesis”—respectively symmetric to the factlike taboos that “we can neither know into the future nor act into the past.” It is gratifying that Robert Jahn, at the Engineering School of Princeton University, is conducting (after others) conclusive experiments demonstrating “low level psychokinesis”—a phenomenon implied by the very symmetry of the negentropy-information transition. So, what pierces the veil of “maya” is the (rare) occurrence of “paranormal phenomena.” The essential severance between “act” and “potentia” is not a spacelike advancing front, but the “out of” and the “into” factlike space-time. Finally, I do not feel that an adequate understanding of the EPR phenomenology requires going beyond the present status of relativistic quantum mechanics. Rather, I believe that the potentialities of this formalism have not yet been fully exploited. (shrink)

For the ancient Greeks, the world was both Eros, the god of chaos and creativity, and Logos, the regularity of the heavens as law. From chaos the world came forth. The world was home to ultimate creativity. Two thousand years later Kepler, Galileo, and then mighty Newton created deterministic classical physics in which all that happens in the universe is determined by the laws of motion, initial and boundary conditions. The Theistic God who worked miracles became the Deistic God who (...) set up the universe and let Newton’s laws take over. Eros, raw creativity, is dead, all is Logos.Quantum mechanics replaced the determinism of classical physics with fundamental indeterminism. This was a major crisis in physics, but remained entirely within the Newtonian paradigm of laws, here the Schrödinger equation, initial and boundary conditions. The Schrödinger equation entails the deterministic propagation of a probability distribution. The probabilities concern the indeterminate outcomes of quantum measurement events.The central issue of this article is to show that no laws at all determine or entail the becoming of our biosphere or any other among the 1022 solar systems in the universe. This claim is radical. If no laws determine or entail the becoming of biospheres, and biospheres are part of the universe, the Pythagorean dream that All is Number, All is Logos, is dead. There is no Final Theory that entails all that become in the universe. Eros is again, and always was, rambunctiously alive in the raw creativity of the becoming of life anywhere in the universe. The becoming of life is based on physics, on Logos, but beyond it, emerging from Eros.The reasons Eros is at play in the evolution of biospheres are fourfold.First, the universe will not make all possible complex things. That is, the universe is vastly non-ergodic. Yet complex things such as the human heart exist.Second, the reason human hearts exist is that organisms are Kantian Wholes in which the parts exist for and by means of the whole. Hearts exist because they fulfill the function of pumping the blood that keeps the whole organism alive. Such organisms propagate progeny that carry with them the hearts that keep them alive.Third, adaptations like hearts, the flagellar motor, the loop of Henle in kidneys that concentrates urine, and flight feathers, are tinkered-together contraptions stumbled upon in evolution. Parts and processes that arise in evolution are jury-rigged for unprestatable new functions that help keep the entire Kantian Whole organism alive and propagating in the evolving biosphere. There is no deductive theory of jury rigging. We cannot deduce the emergence of such novel functions.Fourth, the functions of parts of organisms emerge in unprestatable ways and form the unprestatable and ever-changing phase space of evolution. Since we cannot prestate the ever-changing phase space of evolution, we can write no laws of motion in differential equation form, so cannot integrate the equations we do not have. Thus, no laws entail the becoming of any biosphere.Evolving biospheres are everywhere creative. This is Eros, the chaos from which the world emerges. This profound creative emergence is the stuff of story, of narrative. Evolving biospheres always were and always will be both Eros and Logos, the stuff of story and the stuff of law. We always live in a world of Art and Science. (shrink)

A simple molecular system is described consisting of the reciprocal linkage between an autocatalytic cycle and a self-assembling encapsulation process where the molecular constituents for the capsule are products of the autocatalysis. In a molecular environment sufficiently rich in the substrates, capsule growth will also occur with high predictability. Growth to closure will be most probable in the vicinity of the most prolific autocatalysis and will thus tend to spontaneously enclose supportive catalysts within the capsule interior. If subsequently disrupted in (...) the presence of new substrates, the released components will initiate production of additional catalytic and capsule components that will spontaneously re-assemble into one or more autocell replicas, thereby reconstituting and sometimes reproducing the original. In a diverse molecular environment, cycles of disruption and enclosure will cause auto-cells to incidentally encapsulate other molecules as well as reactive substrates. To the extent that any captured molecule can be incorporated into the autocatalytic process by virtue of structural degeneracy of the catalytic binding sites, the altered autocell will incorporate the new type of component into subsequent replications. Such altered autocells will be progenitors of “lineages” with variant characteristics that will differentially propagate with respect to the availability of commonly required substrates. Autocells are susceptible to a limited form of evolution, capable of leading to more efficient, more environmentally fitted, and more complex forms. This provides a simple demonstration of the plausibility of open-ended reproduction and evolvability without self-replicating template molecules or maintenance of persistent nonequilibrium chemistry. This model identifies an intermediate domain between prebiotic and biotic systems and bridges the gap from nonequilibrium thermodynamics to life. (shrink)

In a two-channel interference experiment such as that considered in the preceding companion paper, a quantum may be localizable predominantly in one channel by a time-coincident experiment on a correlated quantum. The Copenhagen interpretation of quantum mechanics then requires a coincidence intensity prediction having the same reduced interference between channels as if the probability amplitude in the other channel had been attenuated by a filter. The quantum mechanical treatment of correlated systems originated by von Neumann does predict this reduced (...) interference, but avoids requiring a resulting direct locality violation by predicting that this reduced interference also occurs in a simple singles intensity observation. In contrast, de Broglie's locally causal interpretation of quantum mechanics requires that the experiment on the remote correlated system cannot change the amplitudes or phase relationship of coherent space-time wave propagating through the two channels, so that the full classical optics interference effect should be predicted for both singles and coincidence intensities. (shrink)

What follows is an investigation of the ontology of Franz Brentano with special reference to Brentano's later and superficially somewhat peculiar doctrine to the effect that the substances of the material world are three dimensional places. Taken as a whole, Brentano's philosophy is marked by three, not obviously compatible, trait. In the first place, his work is rooted in the metaphysics of Aristotle, above all in Aristotle's substance/accident ontology and in the Aristotelian theory of categories. In the second place, Brentano (...) embraced a Cartesian epistemology. He saw the source of all knowledge as residing in our direct awareness of our own mental phenomena and in our capacity to grasp evident incompatibilities in the realm of concepts.) Thirdly, he regarded the existence of an external world as at most probable, and denied outright the existence of a world similar to the world that is given in experience. Finally, and in some sense linking together these opposing strands, he propagated an idea of what he called "descriptive psychology", a discipline which would on the one hand yield exact knowledge of the structures and categories of mental life, and on the other hand provide an epistemologically sure foundation for other branches of philosophy. As we shall see, it is this psychological aspect of Brentano's philosophy which leads him to his conception of the substantiality of place. Surprisingly, however, the psychological considerations which underlie Brentano's thinking will be shown to raise a series of questions strictly ontological in nature, questions which are not without a systematic interest of their own. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual semantic connection of sentences, (...) above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

Pour résoudre les paradoxes bien connus de la mécanique quantique, on propose une interprétation par ramification (ou univers parallèles) analogue à celle d?Everett, mais avec des différences: (i) on propose une infinité continue de branches, dont les poids (o[ugrave] probabilités) se calculent par intégrale; (ii) les branches sont séparées par des ramifieurs qui se propagent à la vitesse de la lumière. Lorsqu?est négligeable la composante d?énergie négative de la fonction d?onde, le poids de chaque branche en un point donné u (...) est égal au flux du quadrivecteur (courant-densité de présence), soit à travers l'élément d?écran antérieur à u sur lequel l'impact est perçu, soit à travers le cône passé de u si aucun impact n?est perçu. In order to solve well-known paradoxes in quantum mechanics, we propose a reworking of Everett's interpretation with ramified branches (or many worlds), yet somewhat different: (i) branches form an infinity continuum and each weight (probability) is defined by an integral; (ii) branches are separated by ramifiers which propagate themselves with the velocity of light. Assuming we can neglect the negative-energy component in the wave function, then the weight of each branch at a given point u is equal to the flux of the quadrivector (current-presence density), either through the screen element where the impact occurs, or through the past light-cone of u if no impact occurs. (shrink)

A recently formulated concept of stochastic localizability is shown to be consistent with a concept of stochastic microcausality, which avoids the conclusions of Hegerfeldt's no-go theorem as to the inconsistency of sharp localizability of quantum particles and Einstein causality. The proposed localizability on quantum space-time is shown to lead to strict asymptotic causality. For finite time evolutions, upper bounds on propagation to the exterior of stochastic light cones are derived which show that the resulting probabilities are too small to (...) be actually observable in a realistic context. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Notes and Discussions ARISTOTLE'S ALLEGED "REVOLT" AGAINST PLATO Hermippus' most conspicuous contribution to Aristotle's biography probably was his determined effort to depict Aristotle as the founder of an original school of philosophy which was wholly independent of Plato and Platonic teachings. Among the several and, in all likelihood, fanciful stories about Aristotle he invented or propagated, the most startling was the account, subsequently widely accepted (and widely exploited by (...) the detractors of Aristotle), that after having been a disciple of Plato for a while, he seceded from the Academy and from Plato's philosophic teachings while Plato was still alive. 1 Accordingly, he owed little to Plato and to the Academy. This story, invented and propagated by an inveterate Peripatetic (Hermippus), was intended to demonstrate the original philosophic genius of Aristotle which developed in complete independence of Plato and necessitated a break with the master's teachings. In devising his argument, Hermippus might have made use of a report, found in some of Aristotle's ancient biographers, that a few brash young men (members of the Academy?) revolted against Plato and, in a spirit of independence, defiance and antagonism, attempted to start a school of their own which would rival the intellectual standing of the Academy. 2 Hermippus, it appears, subsequently identified these young "rebels" with Aristotle, a substitution convenient to Hermippus" aim to depict Aristotle as a wholly independent and totally original philosopher who owed nothing whatever to Plato and his teachings. In all likelihood, Diogenes Laertius' statement that Aristotle "seceded from the Academy while Plato was still alive," a is just an echo either of a statement made by Hermippus himself or is a conclusion drawn from the several unpleasant stories about Aristotle invented and reported by some of Aristotle's detractors. According to these derogatory stories, there existed many serious personal as well as doctrinal 4 disagreements or rifts between Plato and the Stagirite--disagreeDiogenes Laertius, V. 2. See also Eusebius, Praeparatio Evangelica, XV. 2. 3, and ibid., XV. 2. 13 (Aristoxenus); Aelian, Varia Historia, IV. 9; Theodoretus, Graecorum Affectionum Curatio, IV. 46; St. Augustine, De Civitate Dei, VIII. 12; Philoponus, Comment. in Aristotelis Analytica Posteriora, CIAG, vol. XIII, part 3, pp. 133, 30 ft. 2 See Aelius Aristides, Oratio XLVI, 249. 10. See also note 1, supra. s Diogenes Laertius, V. 2. See also Vita Aristotelis Marciana 9; Vita Aristotelis Latina 9. 9 See, for instance, Plutarch, Adversus Coloten 14 (Moralia, III5A); Cicero, Academica I. 9. 33; Eusebius, op. cir., XV. 2, passim; Diogenes Laertius III. 37; Justin Martyr, Cohortatio ad Graecos 5 (Migne, PG. vol. VI. p. 247); Cyrillus, Contra Julianum II. 47; Proclus, [91] 92 HISTORY OF PHILOSOPHY ments whichmarred the relations between these two men and which were indicative of Aristotle's ingratitude, bad taste and unwarranted conceit. The report of Diogenes Laertius, in an oblique manner, may also refer to the fact that already during his active association with the Platonic Academy (367-348 B.c.), that is, in his On (the) Ideas and On the Good, Aristotle had begun to disagree with, and criticize, some of Plato's fundamental teachings. It may also, in a distorted form, refer to the following specific incident which, however, cannot be verified: According to Aristoxenus, during the absence of Plato in Syracuse (and while Heracleides of Pontus was the "acting scholarch" of the Academy),5 some unnamed young members of the Academy, or "students" or, perhaps, some "outsiders " attempted to start a rival school (within the Academy?).6 As a matter of fact, Aelian, who apparently dramatizes this incident, reports that during Plato's last years, that is, some time after Plato's return from his third and last voyage to Syracuse, a serious conflict or confrontation arose within the Academy. Aristotle, together with some of his friends, or "conspirators," we are told, harrassed and molested the aging Plato by constantly putting questions to him, by arguing with him in an insolent manner, by contradicting him on every point, and by attempting to involve him in hair-splitting dialectics. At the time Xenocrates was in Chalcedon, and Speusippus was gravely ill. Hence, neither of them could come to the succor of Plato. In... (shrink)

Originally published in 1973. Aristotle’s early works probably belong to the formative era of his philosophic thought and as such contribute vitally to the understanding and evaluation of the development of his philosophy. This book shows that the philosophy propagated in these lost works indicates an undeniable Platonism, and thus seems to conflict with the basic doctrines in the traditional treatises collected in the Corpus Aristotelicum . Was the author of the lost early works and the later preserved treatises one (...) and the same person, or were some of these treatises written by members of the Early Peripatus? This, the second of two volumes, discusses in detail certain decisive aspects of Aristotle’s early works. Fascinating hypotheses and conjectures put forward here provoke discussion and further investigation in the ‘Aristotelian Problem’. (shrink)

This research aims to evaluate the calculation accuracy and efficiency of the artificial neural network-based important sampling method on reliability of structures such as drum brakes. The finite element analysis result is used to establish the ANN sample in ANN-based reliability analysis methods. Because the process of FEA is time-consuming, the ANN sample size has a very important influence on the calculation efficiency. Two types of ANNs used in this study are the radial basis function neural network and back (...) class='Hi'>propagation neural network. RBF-IS and BP-IS methods are used to conduct reliability analysis on training samples of three different sizes, and the results are compared with several reliability analysis methods based on ANNs. The results show that the probability of failure of the RBF-IS method is closer to that of the Monte-Carlo simulation method than those of other methods. In addition, the RBF-IS method has better calculation efficiency than the other methods considered in this study. This research demonstrates that the RBF-IS method is well suited to structure reliability problems. (shrink)

The paper presents philosophical views which have been propagated in the first decade of the 20 th -century by Austrian experimental physicist Franz-Serafin Exner. According to Exner all apparently deterministic laws are only a kind of the macroscopic limit of the indeterministic random events and processes in nature. The paper attempts to show whether Exner’s ideas have influenced the views on randomness and probability developed by renowned Polish physicist Marian Smoluchowski who belonged to informal circle of Exner’s students and (...) assistants. (shrink)

We present an epistemological schema of natural sciences inspired by Peirce's pragmaticist view, stressing the role of the \emph{phenomenological map}, that connects reality and our ideas about it. The schema has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as the requirement of reproducibility of experiments and the Principle of Sufficient Reason are both implied by the schema, as well as Popper's concept of falsifiability. We show that the schema has (...) some power in demarcating science by first comparing with an alternative schema advanced during the first part of the 20th century which has its roots in Hertz and has been developed by Einstein and Popper. Further, the identified differences allow us to focus in the construction of Special Relativity, showing that it uses an intuited concept of velocity that does not satisfy the requirements of reality in Peirce. While the main mathematical observation connected with this issue has been known for more than a century, it has not been investigated from an epistemological point of view. A probable reason could be that the socially dominating epistemology in physics does not encourage such line of work. We briefly discuss the relation of the abduction process presented in this work with discussions regarding ``abduction'' in the literature and its relation with ``analogy''. (shrink)

Great theoretical value has always been attached toBoveri's discovery as regards chromatin diminution inAscaris, for this discovery appeared to expose the mechanism causing the propagative cells, in which all chromatin remains, to originate an entirely new organism, whereas the soma cells of which the chromosomes have been diminished are only capable of specific differentiation.Boveri was further able to show that, not only do the soma and propagative nuclei differ from each other, but that rather the character of the cell-plasma decides (...) whether the nucleus diminishes or not. Considerations are brought forward to prove that the “diminisher” hypothesis as given byKing andBeams, is untenable. Diminution has always been supposed to result in the loss of the totipotence of the diminished nuclei. In the light of recent chromosome research this course of events does not seem probable. Therefore the following theory is brought forward: When the egg ofAscaris is split, blastomeres originate, which differ from each other as to the plasma. In proportion to the quality of the surrounding plasma, now these now other genes of the totipotent nucleus react in different cells, thus originating the specific differentiation of the cell in question. This cooperation between plasma and nucleus is, however, at first obstructed in the large collective chromosomes ofAscaris, by the presence of their thickened ends. In order to keep up this cooperation a certain quality of plasma is needed, situated in a certain horizontal zone of the egg. As soon as, in the course of the division, nuclei come to rest in different zones, a diminution occurs, and differentiation of the cells in question sets in. Towards the end of the embryonic development the ends of the chromosomes are lost in the propagative cells, and also in these cells differentiation occurs.On a toujours attribué une haute signification théorique à la découverte deBoveri, de la diminution des chromatines chez l'ascaris puisqu'elle semblait expliquer le mécanisme qui cause que les cellules propagatrices où séjourne, la totalité de l'effectif des chromatines, font de nouveau sortir d'elles-mêmes un organisme entier, pendant que les cellules somatiques, dont les chromosomes ont été diminués, ne sont plus capables qu'à produire une différenciation spécifique. De plus,Boveri a pu démontrer, que les noyaux somatiques et propagateurs ne sont pas, à peu de chose près, différents, mais que c'est bien plus la qualité du plasme des cellules qui décide si les noyaux qui leur ont été distribués, diminuent ou non. Des arguments sont apportés, qui démontrent que l'hypothèse du „diminisher” échafaudée parKing etBeams est insoutenable. En général on s'est représenté. l'action de la diminution de telle façon que la totipotentialité des noyaux diminués a été perdue. Cependant, le fait n'est pas acceptable quand on le considère à la lumière de la recherche moderne sur les chromosomes. Par conséquent, nous proposons l'opinion suivante: Dans l'œuf de l'ascaris, des blastomères différant plasmatiquement les uns des autres prennent naissance pendant le fendage. Selon l'état du plasme environnant, dans les cellules individuelles on voit réagir certain gène, dans les autres un autre gène du noyau totipotentiel, causant ainsi la différenciation des cellules visées. Cette collaboration entre le plasme et le noyau est cependant premièrement bloquée dans les grands chromosomes collectifs de l'ascaris par la présence des bouts de chromosomes épaissis. Pour leur conservation une certaine qualité de plasme est requise qui se trouve dans une zone horizontale déterminée de l'œuf. Dès que, dans le procès du fendage, des noyaux arrivent dans d'autres zones du plasme, la diminution a lieu, et la différenciation des cellules visées s'opère. Cependant, après la conclusion du développement embryonal, les bouts des chromosomes se perdent dans les cellules propagatrices et la différenciation a lieu aussi dans ces cellules. (shrink)

South Africa in which we are living is characterised by unparalleled social and political change and apparently enormous differences of option. However, there is one aspect of our society that most of us would probably agree about and that is the decline of morality in our cities. Apart from the economic and political crisis, and the erosion of the core competence to actually get things done in the municipalities, South Africa is an ailing society with disturbing pathologies in terms of (...) indiscipline, violence, rape, assault, fraud and a failure to accept personal accountability for the high levels of crime, corruption, xenophobic attacks, gender-based violence and disintegration of families. The main aim of this study is to outline the profile of moral decay in the South African urban community and to define the calling of the Church towards moral regeneration. The conclusion arrived at is that there are definite signs of moral degeneration over a wide sphere of human endeavour in South African urban community, and that the church has a particular role to play as a driving agent for moral renewal.Contribution: Whilst there are many postive things brought by urbanisation in our cities, however, moral decay in our South African cities is one of the biggest threats to South Africa’s hard earned, freedom and democracy and merits closer attention. This study in ethics joins the voices of those people who are propagating moral regeneration in our times. (shrink)

Humankind is concerned with scientific enquiry because humans want to understand the milieu in which they find themselves. They want to engineer and reliably control or cooperatively modulate as much of the environment as possible to sustain, enrich, and propagate their lives. Following this path, the goal of science is to gain a reliable description of all natural phenomena so as to allow accurate prediction (within appropriate limits) of nature’s behavior as a function of an ever-changing environment. As such, science (...) is incapable of providing us with absolute truth. Rather, it provides relative knowledge, internally self-consistent knowledge, about the relationships between different phenomena and between different things. The goal of engineering, on the other hand, is to build on this fundamental understanding to generate new materials, devices, structures, attitudes, moralities, philosophies, and so on, for producing tangible order, harnessing the latent potential in nature’s phenomena and expanding human capabilities in an ever-changing environment. In this context, medicine is to human biology as engineering is to physical science. As each of us rides the “river of life,” the great consciousness adventure, we perceive events occurring around us, but more often than not, we do not perceive the total information content inherent in those events nor the true reality of those events. The latter point is so because what we take as the reality of an observation is actually a convolution between (1) what our sensory system actually senses and (2) our mindset or belief structure that filters and/or selectively amplifies segments of the basic gathered data stream. Further, only what we call the five physical senses are well-developed and integrated in our overall sensory system, so only a portion of the total available data becomes our basic internal data stream. We are thus always making personal observations through the distorting and spectrally-limited lens of our mindsets, and we have no way at present to perform a deconvolution and perceive the pure information inherent in our basic input data stream. By using designed instruments to access information patterns in nature, we gain a more objective perspective of these events. However, we must always remember that these instruments were designed on the basis of the logic of our average cognitive development and therefore probably also have only a limited access to the total information spectrum for these events occurring in nature. In particular, these instruments only respond to positive energies. Over the course of the past four to five centuries, we have learned how to conduct true scientific investigations, first under the rubric of classical mechanics and, more recently, quantum mechanics. Let us now look a little more deeply to see what this means. (shrink)

Designed to be a high-level, approachable resource for engineers who need further insight into spatial temporal information systems from an ontological perspective, Spatial Temporal Information Systems: An Ontological Approach using STK® explains the dynamics of objects interaction from signal analysis to trajectory design, spatial modeling, and other spatial analytics by using STK®, which is a general-purpose modeling and analysis application for any type of space, defense, or intelligence system. Building a foundation to begin the study of spatial temporal information systems, (...) the book details a form of analysis that is a powerful tool for modeling, engineering, and operations of space, cyberspace, satellites, missile defense, and electronic systems. It discusses the many applications of space technologies by using a mission-proven software for timely and cost-effective development that serves public interests in civil, commercial, academic, national, and international space communities. Written for readers with a background in physics or engineering, the book is also designed for the beginning analyst sitting behind a desk who needs more information on STK. Upon reading this book, STK new users and power users will not only understand what the tools are, but also how the software can be used to make their job easier. In addition, satellite operators and analysts benefit from the ability to utilize a variety of propagators satellite applications. Analytics, semi-analytic and numerical integrators are discussed, including Keplerian orbital elements and full numerical integration of STK’s High Precision Orbit Propagation or simplified as a two-body analysis. This tool, as well as this book, will bring breadth and depth to the understanding of systems dynamics and the ontology of objects in relationship to other objects and vehicles including central bodies. (shrink)

This article addresses the question as to why Maximus the Confessor was first recognized as an official martyr and saint in the imperial Byzantine Church only in the tenth century, although his theology had been accepted by the Sixth Ecumenical Council and his followers began to practice and propagate his cult shortly after his death in 662. The argument begins with a brief description of Maximus’ early veneration and then examines the Sixth Ecumenical Council’s failure to rehabilitate him by detailing (...) the reasons why this was impossible in 681 and also thereafter. Clearly, in the seventh and eighth centuries the cult of Maximus had its centre outside the empire in parts of Palestinian monasticism. During the iconoclastic era, as in the seventh century, Maximus’ name stood once again for opposition to imperial religious policy, for he was held up by those venerating icons as the witness of Tradition to their use. Although during this time iconophile monastic circles in the capital probably fostered his cult as well, his veneration continued to find no official recognition in the ninth century because of on-going division within the church of Constantinople. Only after a great distance in time to the events of the seventh century could official recognition in Byzantium come to Maximus, since the conflicts of that earlier era were no longer relevant. In this context, the ‘Holy Confessor Maximus’ underwent a process of acceptance by the Byzantines who anchored his biography in Constantinople. As a result, the actual circumstances of the monothelete controversy have ultimately been obscured. (shrink)

We observe that Schrödinger’s equation may be written as two real coupled Hamilton–Jacobi (HJ)-like equations, each involving a quantum potential. Developing our established programme of representing the quantum state through exact free-standing deterministic trajectory models, it is shown how quantum evolution may be treated as the autonomous propagation of two coupled congruences. The wavefunction at a point is derived from two action functions, each generated by a single trajectory. The model shows that conservation as expressed through a continuity equation (...) is not a necessary component of a trajectory theory of state. Probability is determined by the difference in the action functions, not by the congruence densities. The theory also illustrates how time-reversal symmetry may be implemented through the collective behaviour of elements that individually disobey the conventional transformation (T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{T}$$\end{document}) of displacement (scalar) and velocity (reversal). We prove that an integral curve of the linear superposition of two vectors can be derived algebraically from the integral curves of one of the constituent vectors labelled by integral curves associated with the other constituent. A corollary establishes relations between displacement functions in diverse trajectory models, including where the functions obey different symmetry transformations. This is illustrated by showing that a (T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{T}$$\end{document}-obeying) de Broglie-Bohm trajectory is a sequence of points on the (non-T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{T}$$\end{document}) HJ trajectories, and vice versa. (shrink)

To recapitulate some of the points of Darwin's theory. It is worth distinguishing three things that might be said to have evolved in the history of mankind: 1. the body, 2. the inherited intellectual and moral capacities of individuals (if any are inherited), and 3. the social system, including culture. (Culture: what is learnt during the individual's life from other people.) Let us tie down the term 'evolve': in the present context it does not mean any and every sort of (...) development, but specifically change worked by selection, like the change produced over generations by plant and animal breeders. Thus it could be said that any good book contributes to human cultural 'evolution' (in a broad sense), but cultural evolution in this narrower sense will only be development due to the differing powers of competing cultures to propagate themselves through generations. Thus the invention of an easier to learn system of writing would contribute to cultural evolution, by making this culture easier to propagate: but probably not the publishing of a good book. One more terminological point: let us say that an individual or group is a 'bearer' of a characteristic if it is capable of passing it on to the next generation. (shrink)

The act of killing self contradicts the central purpose of human evolution, that is, survival and propagation of one’s genetic material. Yet, it continues to be one of the leading causes of human death. A handful of theories in the realm of evolutionary psychology have attempted to explain human suicide. The current article analyses the major components of certain prominent viewpoints, namely, Inclusive fitness, Bargaining model, Pain-Brain model, Psychological aposematism, and few other perspectives. The article argues that relatively more (...) weightage has been given to understanding ultimate (the “why”) rather than proximate (the “how”) functionality of suicidal acts. Evolutionary theorists have consistently pointed out that to comprehensively understand a trait or behavior, one needs to delineate not only how it supports survival but also the evolution of the mechanisms underlying the trait or behavior. Existing theories on suicide have primarily focused on its fitness benefits on surviving kin instead of providing evolutionary explanations of the more complex mechanisms leading up to such self-destructive motivations. Thus, the current paper attempts to highlight this gap in theorizing while suggesting probable proximate explanations of suicide which stresses the need to diffuse attention paid to fitness consequences of the act alone. We speculate that such explorations are needed in order to build a robust and comprehensive evolutionary theory of human suicide. (shrink)

We describe how a model of effective interactions between quantum fluctuations under certain assumptions can be constructed in a way so that the large-scale limit gives an effective theory that matches general relativity (GR) in vacuum regions. This is an investigation of a possible scenario of spacetime emergence from quantum interactions directly in the spacetime, and of how effective quantum behaviour might provide a useful link between detailed properties of quantum interactions and GR. The quantum fluctuations are assumed to entangle (...) sufficiently for a cohesive spacetime to form, so that their effective properties can be described relative to a D-dimensional reference frame. To obtain the desired features of a smooth metric with a vanishing Ricci tensor, the quantum fluctuations are modelled as Gaussian probability distributions, with a shape set relative to the interactions coming from the surroundings. At small scales, the propagation through the spacetime is modelled by a Gaussian random walk. (shrink)