How might artificial neural networks (ANNs) inform cognitive science? Often cognitive scientists use ANNs but do not examine their internal structures. In this paper, we use ANNs to explore how cognition might represent musical properties. We train ANNs to classify musical chords, and we interpret network structure to determine what representations ANNs discover and use. We find connection weights between input units and hidden units can be described using Fourier phase spaces, a representation studied in musical set theory. We find (...) the total signal coming through these weighted connection weights is a measure of the similarity between two Fourier structures: the structure of the hidden unit's weights and the structure of the stimulus. This is surprising because neither of these Fourier structures is computed by the hidden unit. We then show how output units use such similarity measures to classify chords. However, we also find different types of units—units that use different activation functions—use this similarity measure very differently. This result, combined with other findings, indicates that while our networks are related to the Fourier analysis of musical sets, they do not perform Fourier analyses of the kind usually described in musical set theory. Our results show Fourier representations of music are not limited to musical set theory. Our results also suggest how cognitive psychologists might explore Fourier representations in musical cognition. Critically, such theoretical and empirical implications require researchers to understand how network structure converts stimuli into responses. (shrink)

Quaestio, Volume 20, Issue, Page 526-530, January 2020.

The 14th-century plague tractate by Augustine of Trento addresses the matter of plague before the Black Death. The text aims both to predict plague epidemics and to prevent the disease’s spreading. The author attempts to forecasts the outbreak of plague epidemics thanks to the methods of judicial astrology. He also advises hygiene rules and dietary precepts in order to counter the spread of the disease. Moreover, Augustine makes clear that astrological knowledge and techniques serve medical purposes and medical practice can (...) benefit from astrology. In fact, he discusses the topic of medical prognostication and defends the idea that medical practice should not be empirical but guided by astrological principles. The treatise draws on the major astrological and medical sources of Greek and Arab origin and contains references to contemporary masters of medicine. The article updates the author’s biography, examines the manuscript tradition, analyzes the two redactional stages of the text, and provides a new critical edition. (shrink)

A way to make people save energy is by informing them that “comparable others” save more. We investigated whether one can further improve this nudge by manipulating Who the “comparable others” are. We asked participants to imagine receiving feedback stating that their energy consumption exceeded that of “comparable others” by 10%. We varied Who the “comparable others” were in a 2 × 2 design: they were a household that was located either in the same neighborhood as themselves or in a (...) different neighborhood, and its members were either identified (by names and a photograph) or unidentified. We also included two control conditions: one where no feedback was provided, and one where only statistical feedback was provided (feedback about an average household). We found that it matters Who the “comparable others” are. The most effective feedback was when the referent household was from the same neighborhood as the individual’s and its members were not identified. (shrink)

Academic engagement describes students’ involvement in academic learning and achievement. This paper reports the psychometric properties of the University Student Engagement Inventory (USEI) with a sample of 3992 university students from nine different countries and regions from Europe, North and South America, Africa, and Asia. The USEI operationalizes a trifactorial conceptualization of academic engagement (behavioral, emotional and cognitive). Construct validity was assessed by means of confirmatory factor analysis and reliability was assessed using Cronbach’s alpha and McDonald’s omega coefficients. Weak measurement (...) invariance was observed for country/region, while strong measurement invariance was observed for gender and area of graduation. The USEI scores showed predictive validity for dropout intention, self-rated academic performance, and course approval rate while divergent validity with student burnout scores was also evident. Overall, the results indicate that the USEI can produce reliable and valid data on academic engagement of university students across the world. (shrink)

G. E. Moore observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Over half a century later, such sayings continue to perplex philosophers. In the definitive treatment of the famous paradox, Green and Williams explain its history and relevance and present new essays by leading thinkers in the area.

The aim of this paper is to distinguish between, and examine, three issues surrounding Humphreys's paradox and interpretation of conditional propensities. The first issue involves the controversy over the interpretation of inverse conditional propensities — conditional propensities in which the conditioned event occurs before the conditioning event. The second issue is the consistency of the dispositional nature of the propensity interpretation and the inversion theorems of the probability calculus, where an inversion theorem is any theorem of probability that makes (...) explicit (or implicit) appeal to a conditional probability and its corresponding inverse conditional probability. The third issue concerns the relationship between the notion of stochastic independence which is supported by the propensity interpretation, and various notions of causal independence. In examining each of these issues, it is argued that the dispositional character of the propensity interpretation provides a consistent and useful interpretation of the probability calculus. (shrink)

Hempel's paradox of the ravens has to do with the question of what constitutes confirmation from a logical point of view; Wason 's selection task has been used extensively to investigate how people go about attempting to confirm or disconfirm conditional claims. This paper presents an argument that the paradox is resolved, and that people's typical performance in the selection task can be explained, by consideration of what constitutes an effective strategy for seeking evidence of the tenability of (...) universal or conditional claims in everyday life. (shrink)

Over the last two decades J.N. Williams has developed an account of the absurdity of such utterances as Its raining but I dont believe it that is both intuitively plausible and applicable to a wide variety of forms that this so-called Moorean absurdity can take. His approach is also noteworthy for making only minimal appeal to principles of epistemic or doxastic logic in its account of such absurdity. We first show that Williams places undue emphasis upon assertion and belief: It (...) is similarly absurd for a person to accept a proposition P as a supposition for the sake of argument while denying that her state of mind is one of supposing P, yet Williams has no account of this. Williams approach is then modified to account for such a case. That modification employs a principle of doxastic logic that is at least plausible as the one on which Williams relies, while being unlike his principle in applying to cases other than belief. (shrink)

There are three questions associated with Simpson’s Paradox (SP): (i) Why is SP paradoxical? (ii) What conditions generate SP?, and (iii) What should be done about SP? By developing a logic-based account of SP, it is argued that (i) and (ii) must be divorced from (iii). This account shows that (i) and (ii) have nothing to do with causality, which plays a role only in addressing (iii). A counterexample is also presented against the causal account. Finally, the causal and (...) logic-based approaches are compared by means of an experiment to show that SP is not basically causal. (shrink)

A version of nonstandard analysis, Internal Set Theory, has been used to provide a resolution of Zeno's paradoxes of motion. This resolution is inadequate because the application of Internal Set Theory to the paradoxes requires a model of the world that is not in accordance with either experience or intuition. A model of standard mathematics in which the ordinary real numbers are defined in terms of rational intervals does provide a formalism for understanding the paradoxes. This model suggests that in (...) discussing motion, only intervals, rather than instants, of time are meaningful. The approach presented here reconciles resolutions of the paradoxes based on considering a finite number of acts with those based on analysis of the full infinite set Zeno seems to require. The paper concludes with a brief discussion of the classical and quantum mechanics of performing an infinite number of acts in a finite time. (shrink)

This book unites the worlds of physics and depth psychology through analysis of carefully selected existing and new dream materials. Their interpretation by Matthews provides fertile ground for the unifying of the extreme opposites of psyche and matter and forms a continuation of the deep dialogue between acclaimed psychologist Carl Jung and Nobel physicist Wolfgang Pauli. What emerges is an individuation process where inner and outer worlds are intertwined through a succession of dream images, culminating with that of the ring (...) i, the mathematical function at the heart of quantum physics. This mysterious function unites wave and particle and symbolically carries the quality of paradox. The occurrence of the ring i in Pauli's and the author's dreams suggests paradox is a necessary psychological state to experience a living union between psyche and matter. Analysis of accompanying materials further indicates the arising of a new world view where inner and outer, mind and matter, may again be seen as a unified whole. This book is an engaging read for academics and researchers in the field of Jungian psychology and will appeal to those interested in the novel application of quantum physics to philosophy, psychology and spirituality. (shrink)

There are three questions associated with Simpson’s paradox (SP): (i) Why is SP paradoxical? (ii) What conditions generate SP? and (iii) How to proceed when confronted with SP? An adequate analysis of the paradox starts by distinguishing these three questions. Then, by developing a formal account of SP, and substantiating it with a counterexample to causal accounts, we argue that there are no causal factors at play in answering questions (i) and (ii). Causality enters only in connection with (...) action. (shrink)

Moore's paradox pits our intuitions about semantic oddnessagainst the concept of truth-functional consistency. Most solutions tothe problem proceed by explaining away our intuitions. But``consistency'' is a theory-laden concept, having different contours indifferent semantic theories. Truth-functional consistency is appropriateonly if the semantic theory we are using identifies meaning withtruth-conditions. I argue that such a framework is not appropriate whenit comes to analzying epistemic modality. I show that a theory whichaccounts for a wide variety of semantic data about epistemic modals(Update Semantics) (...) buys us a solution to Moore's paradox as a corollary.It turns out that Moorean propositions, when looked at through the lenseof an appropriate semantic theory, are inconsistent after all. (shrink)

My aim in this paper is to suggest a new outlook concerning the nature of Zeno’s paradoxes. The attention is directed towards the three famous paradoxes known as “Dichotomy,” “Achilles and the Tortoise,” and “The Arrow.” An analysis of the paradigmatic proposals for a solution shows that an adequate solution has not yet been reached. An answer is provided instead to the question “How Zeno’s paradoxes emerge in their quality of aporiae?,” that is to say in their quality of impasses, (...) of problem situations without an exit, what is the original meaning of the Greek word “aporia.” It is my claim that this is the correct rational approach for solving these conceptual puzzles. In other words, I am not proposing formal solutions by criticizing and/or altering their premises assuming the continuous or discrete nature of space and time, but I try to draw the philosophical attention to the way we possess the phenomenon of motion as a result of the perception of space-time in human experience. (shrink)

Geoffrey Rose’s prevention paradox points to a tension between two prima facie plausible moral principles: that we should save the greater number and that weshould save the most at risk. This paper argues that a novel moral theory, ex-ante contractualism, captures our intuitions in many prevention paradox cases, regardless of our interpretation of probability claims. However, it goes on to show that it might be impossible to square ex-ante contractualism with all of our moral intuitions. It concludes that (...) even if ex-ante contractualism cannot furnish an entire ethics of risk, it does identify important considerations for any such theory. (shrink)

This newly translated Fear and Trembling, a founding document of modern philosophy and existentialism, could not be more apt for these perilous times. First published in 1843 under the pseudonym "Johannes de silentio" (John of Silence), Søren Kierkegaard's richly resonant Fear and Trembling has for generations stood as a pivotal text in the history of moral philosophy, inspiring such artistic and philosophical luminaries as Edvard Munch, W. H. Auden, Walter Benjamin, and existentialist Jean-Paul Sartre. Retelling the biblical story of the (...) binding of Isaac, Kierkegaard expounds on the ordeal of Abraham, who was commanded to sacrifice his son in an exceptional test of faith. Disgusted at the self-certainty of his own age, Kierkegaard investigates the paradox underlying Abraham's decision to allow his duty to God to take precedence over his duties to his family. Now, in a new era of immense uncertainty and dislocation, renowned Kierkegaard scholar Bruce H. Kirmmse, in his accessible translation and engaging introduction, eloquently brings this classic work to a new generation of readers, demonstrating Kierkegaard's enduring power to illuminate the terrible wonder of faith. (shrink)

Shoemaker argues that a satisfactory resolution of Moore's paradox requires a _self-intimation thesis that posits a "constitutive relation between belief and believing that one believes." He claims that such a thesis is needed to explain the crucial fact that the assent conditions for '_P' entail those for '_I believe that P'. This paper argues for an alternative resolution of Moore's paradox that provides for an adequate explanation of the crucial fact without relying on the kind of necessary connection (...) between first and second-order beliefs that is posited by Shoemaker's self-intimation thesis. (shrink)

There are three distinct questions associated with Simpson's paradox, (i) Why or in what sense is Simpson's paradox a paradox? (ii) What is the proper analysis of the paradox? (iii) How one should proceed when confronted with a typical case of the paradox? We propose a "formar" answer to the first two questions which, among other things, includes deductive proofs for important theorems regarding Simpson's paradox. Our account contrasts sharply with Pearl's causal (and questionable) (...) account of the first two questions. We argue that the "how to proceed question?" does not have a unique response, and that it depends on the context of the problem. We evaluate an objection to our account by comparing ours with Blyth's account of the paradox. Our research on the paradox suggests that the "how to proceed question" needs to be divorced from what makes Simpson's paradox "paradoxical.". (shrink)

There are three distinct questions associated with Simpson’s paradox. Why or in what sense is Simpson’s paradox a paradox? What is the proper analysis of the paradox? How one should proceed when confronted with a typical case of the paradox? We propose a “formal” answer to the first two questions which, among other things, includes deductive proofs for important theorems regarding Simpson’s paradox. Our account contrasts sharply with Pearl’s causal account of the first two (...) questions. We argue that the “how to proceed question?” does not have a unique response, and that it depends on the context of the problem. We evaluate an objection to our account by comparing ours with Blyth’s account of the paradox. Our research on the paradox suggests that the “how to proceed question” needs to be divorced from what makes Simpson’s paradox “paradoxical.”. (shrink)

Abstract Agent-based virtue ethics is a unitary normative theory according to which the moral status of actions is entirely dependent upon the moral status of an agent's motives and character traits. One of the problems any such approach faces is to capture the common-sense distinction between an agent's doing the right thing, and her doing it for the right (or wrong) reason. In this paper I argue that agent-based virtue ethics ultimately fails to capture this kind of fine-grained distinction, and (...) to this extent ought to be rejected. I focus first on Michael Slote's agent-based theory, according to which the moral status of actions depends upon an agent's actual motives, and argue that this leads to a paradox. I then consider whether the ?counterfactual? version of agent-basing favoured by Rosalind Hursthouse and Linda Zagzebski fares any better, and conclude that it does not. (shrink)

G. E. Moore famously observed that to assert ‘I went to the pictures last Tuesday but I do not believe that I did’ would be ‘absurd’. Moore calls it a ‘paradox’ that this absurdity persists despite the fact that what I say about myself might be true. Krista Lawlor and John Perry have proposed an explanation of the absurdity that confines itself to semantic notions while eschewing pragmatic ones. We argue that this explanation faces four objections. We give a (...) better explanation of the absurdity both in assertion and in belief that avoids our four objections. (shrink)

We address the need for a model by considering two competing theories regarding the origin of life: (i) the Metabolism First theory, and (ii) the RNA World theory. We discuss two interrelated points, namely: (i) Models are valuable tools for understanding both the processes and intricacies of origin-of-life issues, and (ii) Insights from models also help us to evaluate the core objection to origin-of-life theories, called “the inefficiency objection”, which is commonly raised by proponents of both the Metabolism First theory (...) and the RNA World theory against each other. We use Simpson’s Paradox (SP) as a tool for challenging this objection. We will use models in various senses, ranging from taking them as representations of reality to treating them as theories/accounts that provide heuristics for probing reality. In this paper, we will frequently use models and theories interchangeably. Additionally, we investigate Conway’s Game of Life and contrast it with our SP-based approach to emergence-of-life issues. Finally, we discuss some of the consequences of our view. A scientific model is testable in three senses: (i) a logical sense, (ii) a nomological sense, and (iii) a current technological sense. The SP-based model is testable in the first two senses but it is not feasible to test it using current technology. (shrink)

The objective of this paper is to show that Russell's paradox cannot be solved just by defining a class as what is classified, as Balzer thinks. It can be solved not by defining a class, as he does, but by rejecting the assumption on which the validity of argument is based, that is, not conceding the truth of the disjunctive premise that a class is either an instance of itself or not an instance of itself.

Plato's dialogues frequently criticize traditional Greek myth, yet Plato also integrates myth with his writing. Daniel S. Werner confronts this paradox through an in-depth analysis of the Phaedrus, Plato's most mythical dialogue. Werner argues that the myths of the Phaedrus serve several complex functions: they bring nonphilosophers into the philosophical life; they offer a starting point for philosophical inquiry; they unify the dialogue as a literary and dramatic whole; they draw attention to the limits of language and the limits (...) of knowledge; and they allow Plato to co-opt cultural authority as a way of defining and legitimating the practice of philosophy. Platonic myth, as a species of traditional tale, is thus both distinct from philosophical dialectic and similar to it. Ultimately, the most powerful effect of Platonic myth is the way in which it leads readers to participate in Plato's dialogues and to engage in a process of self-examination. (shrink)

The author of Governance in a Globalizing World probes the limits of American power, offering a compelling argument for the world's lone superpower to forge cooperative relationships with nations around the world.

Michael Lynch’s Truth as One and Many is a contribution to the large body of philosophical literature on the nature of truth. Within that genre, advocates of truth-as-correspondence, advocates of truth-as-coherence, and the like, all hold that truth has a single underlying metaphysical nature, but they sharply disagree as to what this nature is. Lynch argues that many of these views make good sense of truth attributions for a limited stretch of discourse, but he adds that each of the contenders (...) also faces a ‘scope problem’, in that none of them makes sense of all legitimate truth attributions. Some deflationists make similar observations – usually less concessive – and conclude that truth simply has no substantial, underlying nature. There is nothing for the philosopher to articulate and defend. Lynch agrees with deflationists that the realm of discourse is too diverse for any single ‘first-level’ property, such as correspondence or coherence, to fully characterize it, but against deflationism, he holds that truth does have a nature. He presents a functionalist theory. The definition is this: x is true if, and only if, x has a property that plays the truth-role. According to Lynch, the truth-role is given in terms of what he calls the ‘core truisms’ of the folk concept of truth. These are platitudes that hold of the everyday notion, and are such that anyone who denies all of them can be accused of changing the subject – of not talking about truth. A given property T plays the truth-role for a batch of propositions, just in case, for any proposition P in the batch: P is T if, and only if, where P is believed, things are as they are believed to be; other things being equal, it is a worthy goal …. (shrink)

In this rich and resonant work, Soren Kierkegaard reflects poetically and philosophically on the biblical story of God's command to Abraham, that he sacrifice his son Isaac as a test of faith. Was Abraham's proposed action morally and religiously justified or murder? Is there an absolute duty to God? Was Abraham justified in remaining silent? In pondering these questions, Kierkegaard presents faith as a paradox that cannot be understood by reason and conventional morality, and he challenges the universalist ethics (...) and immanental philosophy of modern German idealism, especially as represented by Kant and Hegel. This volume presents the first new English translation for twenty years, by Sylvia Walsh, together with an introduction by C. Stephen Evans which examines the ethical and religious issues raised by the text. (shrink)

Geoffrey Rose’s prevention paradox points to a tension between two prima facie plausible moral principles: that we should save the greater number and that weshould save the most at risk. This paper argues that a novel moral theory, ex-ante contractualism, captures our intuitions in many prevention paradox cases, regardless of our interpretation of probability claims. However, it goes on to show that it might be impossible to square ex-ante contractualism with all of our moral intuitions. It concludes that (...) even if ex-ante contractualism cannot furnish an entire ethics of risk, it does identify important considerations for any such theory. (shrink)

The very idea of informative analysis gives rise to a well-known paradox. Yet a parallel puzzle, herein called the paradox of synonymy, arises for statements which do not express analyses. The paradox of synonymy has a straightforward metalinguistic solution: certain words are referring to themselves. Likewise, the paradox of analysis can be solved by recognizing that certain expressions in an analysis statement are referring to their own semantic structures.

Einstein, in his “Zur Elektrodynamik bewegter Körper”, gave a physical (operational) meaning to “time” of a remote event in describing “motion” by introducing the concept of “synchronous stationary clocks located at different places”. But with regard to “place” in describing motion, he assumed without analysis the concept of a system of co-ordinates.In the present paper, we propose a way of giving physical (operational) meaning to the concepts of “place” and “co-ordinate system”, and show how the observer can define both the (...) place and time of a remote event. Following Einstein, we consider another system “in uniform motion of translation relatively to the former”. Without assuming “the properties of homogeneity which we attribute to space and time”, we show that the definitions of space and time in the two systems are linearly related. We deduce some novel consequences of our approach regarding faster-than-light observers and particles, “one-way” and “two-way” velocities of light, symmetry, the “group property” of inertial reference frames, length contraction and time dilatation, and the “twin paradox”. Finally, we point out a flaw in Einstein’s argument in the “Electrodynamical Part” of his paper and show that the Lorentz force formula and Einstein’s formula for transformation of field quantities are mutually consistent. We show that for faster-than-light bodies, a simple modification of Planck’s formula for mass suffices. (Except for the reference to Planck’s formula, we restrict ourselves to Physics of 1905.). (shrink)

We report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type “welcher-weg” experiment beyond the limitations set by Bohr’s Principle of Complementarity. Applying classical logic, we verify the presence of sharp interference in the single photon regime, while reliably maintaining the information about the particular pinhole through which each individual photon had passed. This experiment poses interesting questions on the validity of Complementarity in cases where measurements techniques that avoid Heisenberg’s uncertainty principle and (...) quantum entanglement are employed. We further argue that the application of classical concepts of waves and particles as embodied in Complementarity leads to a logical inconsistency in the interpretation of this experiment. (shrink)

A vivacious biography of the prophetic and sympathetic philosopher who along with Voltaire and Rousseau built the foundations of the modern world, and travelled as far as Russia to enlighten the Tsarina Catherine the Great. Denis Diderot is often associated with the decades-long battle to bring the world's first comprehensive Encyclopédie into existence. But his most compelling and personal writing took place in the shadows. Thrown into prison for his atheism in 1749, Diderot decided to reserve his most daring books (...) for posterity-for us, in fact. In the astonishing cache of unpublished writings that he left behind after his death, Diderot dreamed of natural selection before Darwin, the Oedipus complex before Freud, and genetic manipulation centuries before Dolly the Sheep was born. Even more audaciously, the writer challenged virtually all of his century's accepted truths, from the sanctity of monarchy, to the racial justification of slave trade, to the limits of human sexuality. He was also keenly aware of the dangers of absolute power, about which he wrote so persuasively that it led Catherine the Great not only to support him financially but also to invite him to St. Petersburg. In this thematically organized biography, Andrew Curran vividly describes Diderot's tormented relationship with Rousseau, his feud with Voltaire, his tortured marriage, his passionate affairs, and his often-paradoxical stand on art, morality, and religion. But what this book brings out most brilliantly is how a man's character flaws and limitations are often the flip side of his genius and his ability to break taboos, dogmas, and conventions. (shrink)