The article is devoted to the interpretation of the ontological argument as a theoretical construction that is connected with understanding of the reflexive relationship of thinking and existence. The author concludes that the consistent implementation of this approach requires an appeal to the historically transitory forms of the ontological argument which reconstructs the logic of the evolution of reflexive systems. The ontological argument is considered as a developing theoretical construct. Therefore, theoretical constructs conceptualized as non-classical versions of the ontological (...) argument will constantly re-emerge. Emergence of the first non-classical version of the ontological argument is related to need of overcoming apriority of introduction of the idea of the absolute being which is typical for Cartesianism. This issue was realized in the Kantian doctrine of transcendental ideas, which presented mind as an independent essence that creates its own content. Thus, the metaphysical construction, conditionally referred to as “the moral proof of the existence of God,” is revealed in the paper as a non-classical variant of the ontological argument. However, while Kant could be content with faith in reality of other subjectivity as an object of moral action, Fichte’s scientific doctrine demanded a proof of objective reality of the concept of the other I. This issue was identical to a basic problem of an ontological argument. “The ontological argument of the other I” offered by Fichte was devoid of mysticism as it is indissolubly connected with the disclosure of the social nature of the human subjectivity. The last step in formation of the concept “non-classical version of the ontological argument” was taken in Hegelian philosophy, where the reflexive relations between the multitude of I’s were transformed to reflexive interconnection between God and man. The versions of ontological argument are considered in the paper as necessary stages which any theoretical model of reflexive systems has to pass in its formation. (shrink)

The theory of beauty has always rested on the representation of the infinite, understood in its finite expression and perceptible through the senses. The relationship of beauty to truth, of art to science, is inevitably modified with the new way of treating the infinite in the modern conception of the world. Non-classical science works with the notions of “infinitely large” and “infinitely small,” modifying their meanings in terms of experimental observations. We put these words in quotation marks (...) because the Whole may be considered as finite or infinite according to the angle from which it is viewed: the “infinitely small” only becomes so in determined circumstances, for example, when we consider the extended and discrete elements of space and time in a macroscopic approximation, as infinitely small elements of perpetual motion. Modern science studies these two poles of being—the Whole and its parts—in their interaction, admitting the dependence of macroscopic and even cosmic processes with regard to the processes being created in infinitely small spheres (or, according to another interpretation, finite but extremely small). However, as characteristic of our time as these concepts are—most often hypothetical—they nonetheless express a very old historical tradition that contemporary retrospection, turned toward classical science and the past of science in general, allows us to discern very clearly. All the culture of the past was dominated by the principle of the authority of the Whole over its parts. In peripatetic cosmology and physics, individual processes depended on the cosmic harmony of the center and frontiers of the universe, on the spheres and places toward which bodies tend. This authority of the general law, of universal harmony, of the system hinging on individual processes, is confirmed in Aristotle's Physics, but not only there: we find it in almost all the thinkers of antiquity. On the plane of general logic, it received expression in the Hegelian concept of the true infinite, a concept constituting to a high degree the philosophical equivalent of classical science. In Hegel's time, this last was already drawing away somewhat from the idea of an absolute and strict subordination of elementary processes to integrating systems and general laws, laws being realized through the probability of microprocesses, thus statistical laws, and whose exact application ignored individual acts, for example, the mechanism of molecules in thermodynamics. The statistical theory of heat has rendered continual a discrete microcosm—for the movement of individual molecules it substituted the average speed of the molecules—and continual laws became supreme points determining macroscopic processes. These laws had a differential nature. In other words, they prescribed the defined relationships between the infinitely small increases in size. Also, the schema of the classic law consisted in defining infinitely small processes by an infinitely large integral legality because of the number of processes. The infinitely true of Hegel is the actual infinite being realized in each of its finite elements; it is the subjection of the finite element to the infinite. (shrink)

The article is devoted to the memory of Vyacheslav Semenovich Stepin and Nikita Nikolaevich Moiseev, whose multifaceted work was integrally focused on philosophical, interdisciplinary and transdisciplinary research of the key ideas and principles of universal human-dimensional evolutionism. Other remarkable Russian scientists V.I. Vernadsky, S.P. Kurdyumov, S.P. Kapitsa, D.S. Chernavsky worked in the same tradition of universal evolutionism. While V.I. Vernadsky and N.N. Moiseev had been the originators of that scientific approach, V.S. Stepin provided philosophical foundations for the ideas of those (...) remarkable scientists and thinkers. The scientific legacy of V.S. Stepin and N.N. Moiseev maintained the formation of a new quality of research into the philosophy of science and technology as well as into the philosophy of culture. This new quality is multidimensional and it is difficult to define unambiguously, but we presume the formation of those areas of philosophical knowledge as constructively oriented languages of interdisciplinary and transdisciplinary co-participation of philosophy in the convergent-evolutionary development of scientific knowledge in general. In this regard, attention is paid to V.S. Stepin’s affirmations about non-classical nature of modern social and humanitarian knowledge. Quantum mechanics teaches us that the reality revealed through it is a hybrid construct, or symbiosis, of both mean and object of cognition. Therefore, the very act of cognitive observation constructs quantum reality. Thus, it is very close to the process of cognition in modern sociology and psychology. V.S. Stepin insisted that these principles are applicable to all complex selfdeveloping systems, and such are all “human-dimensional” objects of modern humanities. In all the phases of homeostasis changes, or crises, there is necessarily a share of chaos, instability, uncertainty in the selection process of future development scenarios, which is ineliminably affected by our observation. Therefore, a cognitive observer in the humanities should be considered as a concept of post-non-classical rationality, that is as an observer of complexity. (shrink)

The article shows that three antirealistic theories of classical analysis and synthesis are logically possible: presentationistic, solipsistic and Kantian, but only the latter is actually being developed. Revealed its specific features and features shared with other, logically possible antirealistic theories. The correlation of the Kantian theory of analysis and synthesis of knowledge with his theory of analysis and synthesis of subjects of knowledge is analyzed. Gnoseological problems that forced Kant to assert that new knowledge is provided only by the (...) synthesis of knowledge, and analysis only clarifies the results of synthesis, are characterized. The Kantian solution to these problems is correlated with their realistic solution. The role that the Kantian "Copernican revolution in philosophy" plays in his interpretation of the analysis and synthesis of subjects of knowledge is investigated. The Kantian theory of analytical and synthetic judgments is considered. It is shown that the Kantian question "how are synthetic judgments a priori possible?" is essentially a question about the nature of theoretical knowledge, which was historically formed in ancient geometry precisely as the unity of analysis and synthesis. A qualitative difference is shown between classical and geometric (by origin) analysis and synthesis. Three historical stages of their formation are described. The assertion of I. Newton that the natural science experiment arose as a result of the extension of the method of geometric analysis and synthesis to the natural sciences is investigated. (shrink)

Starting from logical structures of classical and quantum mechanics we reconstruct the logic of so-called no-signaling theories, where the correlations among subsystems of a composite system are restricted only by a simplest form of causality forbidding an instantaneous communication. Although such theories are, as it seems, irrelevant for the description of physical reality, they are helpful in understanding the relevance of quantum mechanics. The logical structure of each theory has an epistemological flavor, as it is based on analysis of (...) possible results of experiments. In this note we emphasize that not only logical structures of classical, quantum and no-signaling theory may be treated on the same ground but it is also possible to give to all of them a common ontological basis by constructing a “phase space” in all cases. In non-classical cases the phase space is not a set, as in classical theory, but a more general object obtained by means of category theory, but conceptually it plays the same role as the phase space in classical physics. (shrink)

What were the true reasons of the second scientific revolution? – To answer the question, the epistemic model is applied, according to which radical breakthroughs in science were not due to the fanciful excogitation of new ideas ‘ex nihilo’, but rather to the tedious, long-term and troublesome processes of the mutual lapping, reconciliation, interpenetration and intertwinement of ‘old’ research traditions preceding such breaks. It is contended that Einstein's 'annus mirabilis' constituted an acme of the second scientific revolution. To fathom (...) in what felicitous ways Einstein's 1905 writings hang together one is bound to pay special tribute to his longed strive for unity evinced in incessant attempts to coordinate the profound research traditions of classical physics. Though Einstein's efforts sprung out of Max Planck's pioneering attempts to comprehend electromagnetic phenomena through the lenses of conceptual structures of statistical thermodynamics . It was Planck, who clearly realized the cross-contradiction between 'the physics of material bodies’ and ‘the physics of the ether' and outlined the sketch of its withdrawal: the paradigms 'must be modified to remain compatible'. And it was Planck who took the first step in modifying the physics of the ether and contending that 'not only matter itself but also the effects radiated from matter' possess discontinuous properties, which can be characterized by a new natural constant: the elementary quantum of action. Einstein's part consisted in that he took the second step in modifying the second component of the encounter – the physics of material bodies. Einstein’s foolhardy light quanta hypothesis and distinctive special theory of relativity turn out to be mere milestones of the unwinding of Maxwellian electrodynamics and statistical thermodynamics reconcilement research program. The notorious conception of luminiferous ether was a substantial obstacle for Einstein’s wayward statistical thermodynamics in which the pivotal lead was played by flagrant light quanta paper. Einstein was aware that his enticing light quanta hypothesis was too audacious to be taken literally and he laid out his version of 'electrodynamics of moving bodies' in a markedly Machian/ Duhemian, phenomenological way. As a result of the revision of the second scientific revolution key episode, the arguments are exhibited in favor of the necessity to modify the history of the genesis of general relativity; correspondingly, the process of unification of electromagnetic and weak interactions that took place in the second half of the XX-th century is scrutinized. Eventually, the encounter and interpenetration of the two dominating research traditions of modern physics – that of general relativity and quantum field theory – is elicited. (shrink)

This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework (...) for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics. (shrink)

My purpose here is purely historical. It is not an attempt to resolve the question as to whether Russell did or did not countenance nonclassical logics, and if so, which nonclassical logics, and still less to demonstrate whether he himself contributed, in any manner, to the development of nonclassical logic. Rather, I want merely to explore and insofar as possible document, whether, and to what extent, if any, Russell interacted with the various, either the various candidates or their, ideas that (...) Dejnožka and others have proposed as potentially influential in Russell’s intellectual reactions to nonclassical logic or to the philosophical concepts that might contribute to his reactions to nonclassical logics. (shrink)

Here we shall employ the term "classical" to denote situations in science in which all propositions satisfy all the laws of classical logic, including that of excluded middle. This means that if x is a proposition of a given field of science, then the following statements will be true in regard to it: "either x or non-x," "either x is true or non-x is true," "x is either true or false." The emphasis here upon the law (...) of excluded middle is associated with the fact that criticism of this law is the basic content of nonclassical criticism of classical logic. (shrink)

Mathias Frisch provides the first sustained philosophical discussion of conceptual problems in classical particle-field theories. Part of the book focuses on the problem of a satisfactory equation of motion for charged particles interacting with electromagnetic fields. As Frisch shows, the standard equation of motion results in a mathematically inconsistent theory, yet there is no fully consistent and conceptually unproblematic alternative theory. Frisch describes in detail how the search for a fundamental equation of motion is partly driven by pragmatic considerations (...) (like simplicity and mathematical tractability) that can override the aim for full consistency. The book also offers a comprehensive review and criticism of both the physical and philosophical literature on the temporal asymmetry exhibited by electromagnetic radiation fields, including Einstein's discussion of the asymmetry and Wheeler and Feynman's influential absorber theory of radiation. Frisch argues that attempts to derive the asymmetry from thermodynamic or cosmological considerations fail and proposes that we should understand the asymmetry as due to a fundamental causal constraint. The book's overarching philosophical thesis is that standard philosophical accounts that strictly identify scientific theories with a mathematical formalism and a mapping function specifying the theory's ontology are inadequate, since they permit neither inconsistent yet genuinely successful theories nor thick causal notions to be part of fundamental physics. (shrink)

Classical real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value—namely, zero—to cases that are impossible as well as to cases that are possible. There are three non-classical approaches to probability that can avoid this drawback: full conditional probabilities, qualitative probabilities and hyperreal probabilities. These approaches have been criticized for failing to preserve intuitive symmetries that can be preserved by the classical probability framework, but there has not been a systematic (...) study of the conditions under which these symmetries can and cannot be preserved. This paper fills that gap by giving complete characterizations under which symmetries understood in a certain “strong” way can be preserved by these non-classical probabilities, as well as by offering some results to make it plausible that the strong notion of symmetry here is the right one. Philosophical implications are briefly discussed, but the main purpose of the paper is to offer technical results to help make further philosophical discussion more sophisticated. (shrink)

Until the present, the Newtonian theory of gravitation has only been studied in any detail through the usual, presupposed ontology of point particles. This paper shows that changing our ontology into one which makes use of continuous bodies (non-point particles) allows us to obtain in a simple way two important results relevant to the theory: (a) The Newtonian theory of gravitation is indeterministic in a way apparently unparalleled when non-point particle models of it are used. (b) In the Newtonian theory (...) of gravitation it is possible to find non-collision singularities qualitatively different from the ones presented in point particle models. (shrink)

Introduction The article is focused on theoretical and methodological analysis of a number of social dynamics models that appeared on the basis of non-classical science. They are “challenge — response”, self-organization, a cycle of phase transitions “birth — life — death”, and “zone model”. The author reveals heuristic potential of each model, its strengths and weaknesses in the methodological aspect. The aim of the study is to consider the models of social dynamics that appeared on the basis of (...) non-classical science in social cognition, identify their methodological foundations; compare these theoretical constructs with each other, and to improve these structures in theoretical and methodological aspects. Methods The following general scientific methods were used in the study: modeling, structural-functional, systemic and comparative analysis. The scientific novelty of the study. The author traces evolution of how the models under consideration have been forming in the framework of social cognition, and points out the epistemological foundations of their occurrence. In the “challenge-response” model, the author identifies its basic ideas and classifies the sources that generate historical “challenges” and the entities that form “answers” to them. The author specifies that the model of self-organization appeared long before the 20th century, but only thanks to the systematic approach and synergetics it acquires the necessary theoretical level. The author also points out positive aspects and limitations of the self-organization model in relation to social cognition. The author specifies the full structure of the “zone model” in social cognition, which includes the following elements: the center, the middle part, the intermediate space, and the periphery. Modifications of this model are shown in the framework of the world-system approach and other social theories. Results. The study demonstrates that in relation to each model, empirical material was first accumulated, and only then it was theoretically generalized on the basis of non-classical science. It is shown that the main merit of the world-system analysis is creating a “zone” model of social dynamics. The author recognizes that the zone model to the maximum extent includes other theoretical constructions: “challenge - answer”, self-organization, the cycle of phase transitions “birth - life - death”. It is assumed that in the future, theoretical approaches in the humanities are more likely to include new methodological tools. Conclusions. The author reveals continuity of intellectual instruments among various non-classical models of social dynamics, shows separate stages of the models evolution. It is stated that in the framework of the non-classical methodology of social cognition, there is a place for the approaches generated by classical science (for example, the assumption of linearity as a way of developing society). (shrink)

Timothy Williamson has maintained that the applicability of classical mathematics in science raises a problem for the endorsement, in non-mathematical domains, of a wide range of non-classical logics. We show that this is false.

This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and (...) representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic. (shrink)

It is usually accepted in the literature that negation is a contradictory-forming operator and that two statements are contradictories if and only if it is logically impossible for both to be true and logically impossible for both to be false. These two premises have been used by Hartley Slater [Slater, 1995] to argue that paraconsistent negation is not a “real” negation because a sentence and its paraconsistent negation can be true together. In this paper we claim that a counterpart of (...) Slater´s argument can be directed against the negation operator of classical logic. Carnap’s discovery that there are models of classical propositional logic with non-standard or non-normal interpretations of the connectives will be used to build such an argument. One such non-normal valuation which can be added to the set of classically admissible valuations without altering the set of theorems or the set of valid consequences assigns true to every well-formed formula and, therefore, assigns a designated value to every formula and its negation. We ponder the consequences of these arguments for the claims that paraconsistent negations are not genuine negations and that the negation of classical logic is a contradictory-forming operator. (shrink)

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and (...) their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area. (shrink)

Explores some steps toward non-assimilative encounters in the "global village.".

In this paper, by suggesting a formal representation of science based on recent advances in logic-based Artificial Intelligence (AI), we show how three serious concerns around the realisation of traditional scientific realism (the theory/observation distinction, over-determination of theories by data, and theory revision) can be overcome such that traditional realism is given a new guise as ‘naturalised’. We contend that such issues can be dealt with (in the context of scientific realism) by developing a formal representation of science (...) based on the application of the following tools from Knowledge Representation: the family of Description Logics, an enrichment of classical logics via defeasible statements, and an application of the preferential interpretation of the approach to Belief Revision. (shrink)

This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics. It mainly focuses on the construction of different types of models for various non-classical logics of current interest, including modal logics, epistemic logics, dynamic logics, and observational predicate logic. The book presents a wide range of applications of two well-known approaches in current research: structural modeling of certain philosophical issues in the framework (...) of non-classic logics, such as admissible models for modal logic, structural models for modal epistemology and for counterfactuals, and epistemological models for common knowledge and for public announcements; conceptual analysis of logical properties of, and formal semantics for, non-classical logics, such as sub-formula property, truthmaking, epistemic modality, behavioral strategies, speech acts and assertions. The structural analysis provided in this volume will appeal not only to graduate students and experts in non-classic logics, but also to readers from a wide range of disciplines, including computer science, cognitive science, linguistics, game theory and theory of action, to mention a few. (shrink)

Modern methodology furnishes two partly competitive and partly complementary views on structure of the development of scientific investigation. According to the first view the development of science consists in enlargement of the set of empirical theorems; according to the other it consists, rather, in the narrowing of the set of possible theoretical hypotheses. A particular kind of assertion is associated with each of these views. The first is associated with the relation of assertion expressed in the statement: “the state (...) α of scientific investigationB forces us to accept the statement Τ”. The other view is associated with the relation of assertion expressed in the statement: “the state α of scientific investigationB admits the acceptance of the statement Τ”. Under a suitable definition of forcing we obtain the conclusion that intuitionistic logic is the class of only those formulas which we are forced to accept by every state of every scientific investigation. The notion of admission under a certain definition analogically leads to intuitionistic logic; on the other hand in the case of another, more natural definition, it leads to justification of a certain system of strict implication which is stronger than Lewis’ system S4 and which overlaps system S5.It can be said that assuming quite a natural definition of admission this system contains only those formulas the acceptance of which is admitted by every state of every scientific investigation. (shrink)

The approach taken here is to begin to understand the focus from abstract to concrete in learning to master the principles of methodology, which are different from Western methods and procedures. This methodology is opposed to the empiricist approach of establishing rules and procedures from the concrete to the abstract. The initial discussion revolves around an explanation of the use of metaphor, metatheory, and psychology understood as a non-classical science. There is then a discussion on dialectics, dialectical synthesis, (...) and metafacts. The core of the article is dedicated to a metatheoretical description Vygotsky uses as an abstract outline of possible guidelines in better understanding how to implement a model for non-classical psychology, using the example of a table being reflected in a mirror. A represents the actual table, while a represents the object being reflected in the mirror, and X represents the processes that take place in the mirror . Therefore, Vygotsky concludes that both A and X are real processes and that a is their apparent, i.e., unreal result. The reflection does not exist, but both the table and the light exist. The result is that the objective existence of X and A independent of a is a dogma of materialistic psychology. There is a discussion on the interfunctional relationships of importance in such a model, and the role of consciousness, and language. The focus of this metatheoretical framework supports Vygotsky's intentions of reaching individual inner freedom and freedom of action, together with Spinoza's social determinism. (shrink)

The role of classical logic as the base of formalized scientific theories seems to be unshakable. Yet legitimate doubts about its universal applicability in science have resulted in the development of alternative systems, among which constructive and modal logic are discussed in syntactic and semantic terms.

The role of classical logic as the base of formalized scientific theories seems to be unshakable. Yet legitimate doubts about its universal applicability in science have resulted in the development of alternative systems, among which constructive and modal logic are discussed in syntactic and semantic terms.

This book is a stimulating and engaging discussion of philosophical issues in the foundations of classical electromagnetism. In the rst half, Frisch argues against the standard conception of the theory as consistent and local. The second half is devoted to the puzzle of the arrow of radiation: the fact that waves behave asymmetrically in time, though the laws governing their evolution are temporally symmetric. The book is worthwhile for anyone interested in understanding the physical theory of electromagnetism, as well (...) for the views it presents on philosophical issues such as causation, counterfactuals, laws, scienti c theories, models, and explanation. While philosophers of physics tend to focus on quantum mechanics and relativity, Frisch’s book shows that there are deep foundational issues in classical physics, equally worthy of attention. That said, let me lodge disagreement on some key points. Frisch argues from an alleged inconsistency in classical electromagnetism— that Maxwell’s equations, the Lorentz force law, and the conservation of energy cannot be jointly true—to the conclusion that the standard view of scienti c theories as a formalism plus an interpretation is incorrect. Consistency is a necessary condition of any view on which scienti c theories give us an account of “ways the world could be” (Frisch, , ). Since classical electromagnetism is successfully used by practicing physicists, consistency must be just one criterion of theory choice weighed equally among others. This is an intriguing idea, but I am not sure that consistency can be given up so easily. That road leads dangerously close to accepting orthodox ‘Copenhagen’ quantum mechanics. Surely the inconsistency of.. (shrink)

This article examines a scientific controversy that raged for twenty years in physical organic chemistry during the second half of the twentieth century. After explaining what was at stake in the non-classical ion debate, I attempt—by examining the methodological reflections of some of the participants—a partial explanation of what sustained this controversy, particularly during its early stages. Instead of suggesting a breakdown of scientific method or the unavoidable historical contingency of scientific development, the endurance of this controversy instead reveals (...) the heuristic and pragmatic character of many of the explanations and predictions generated by theoretical organic chemistry. The results in this case are used to suggest a new role for the study of scientific controversies in revealing the economics of scientific inquiry. 1 Introduction2 The Non-classical Ion Debate3 Models for the 2-Norbornyl System4 Soft Theories and Reasoning by Analogy5 Scientific Controversy and the Non-classical Ion Debate6 Conclusion. (shrink)

A widespread view among physicists is that Bell’s theorem rests on an implicit assumption of “classicality,” in addition to locality. According to this understanding, the violation of Bell’s inequalities poses no challenge to locality, but simply reinforces the fact that quantum mechanics is not classical. The paper provides a critical analysis of this view. First we characterize the notion of classicality in probabilistic terms. We argue that classicality thus construed has nothing to do with the validity of classical (...) physics, nor of classical probability theory, contrary to what many believe. At the same time, we show that the probabilistic notion of classicality is not an additional premise of Bell’s theorem, but a mathematical corollary of locality in conjunction with the standard auxiliary assumptions of Bell. Accordingly, any theory that claims to get around the derivation of Bell’s inequalities by giving up classicality, in fact has to give up one of those standard assumptions. As an illustration of this, we look at two recent interpretations of quantum mechanics, Reinhard Werner’s operational quantum mechanics and Robert Griffiths’ consistent histories approach, that are claimed to be local and non-classical, and identify which of the standard assumptions of Bell’s theorem each of them is forced to give up. We claim that while in operational quantum mechanics the Common Cause Principle is violated, the consistent histories approach is conspiratorial. Finally, we relate these two options to the idea of realism, a notion that is also often identified as an implicit assumption of Bell’s theorem. (shrink)

The basic question of this article is whether Thomas Aquinas's doctrine of divine providence through his understanding of primary and secondary causation can be understood as a theological causal or non-causal explanation. To answer this question, I will consider some contemporary discussions about the nature of causal and non-causal explanations in philosophy of science and metaphysics, in order to integrate them into a theological discourse that appeals to the classical distinction between God as first cause and creatures as (...) secondary causes to explain God's presence and providence in the created universe. My main argument will hold that, even if there are some philosophical models of explanation that seem to allow one to suggest that, at least partially, this doctrine could be seen as a non-causal theological explanation, there are other models that offer seemingly stronger reasons to see this doctrine in full as a causal theological explanation. (shrink)

Philologus, founded in 1846, is one of the oldest and most respected periodicals in the field of Classics. It publishes articles on Greek and Latin literature, historiography, philosophy, history of religion, linguistics, reception, and the history of scholarship. The journal aims to contribute to our understanding of Greco-Roman culture and its lasting influence on European civilization. The journal Philologus, conceived as a forum for discussion among different methodological approaches to the study of ancient texts and their reception, publishes original scholarly (...) contributions with a strong international focus. Publications languages are: German, English, Italian, French. As of 2014 the publication of supplementary volumes will be resumed. The series Philologus. Supplemente / Philologus. Supplementary Volumes will publish monographs and edited volumes pertaining to all aspects of the study of ancient literature and its reception, with a special focus on topics concerning literary theory, philosophy and the history of scholarship from an interdisciplinary perspective. (shrink)

The Reign of Quantity gives a concise but comprehensive view of the present state of affairs in the world, as it appears from the point of view of the 'ancient wisdom', formerly common both to the East and to the West, but now almost entirely lost sight of. The author indicates with his fabled clarity and directness the precise nature of the modern deviation, and devotes special attention to the development of modern philosophy and science, and to the part (...) played by them, with their accompanying notions of progress and evolution, in the formation of the industrial and democratic society which we now regard as 'normal'. Guénon sees history as a descent from Form (or Quality) toward Matter (or Quantity); but after the Reign of Quantity-modern materialism and the 'rise of the masses'-Guénon predicts a reign of 'inverted quality' just before the end of the age: the triumph of the 'counter-initiation', the kingdom of Antichrist. This text is considered the magnum opus among Guénon's texts of civilizational criticism, as is Symbols of Sacred Science among his studies on symbols and cosmology, and Man and His Becoming according to the Vedanta among his more purely metaphysical works. (shrink)

We present a novel approach to represent ecological systems using reaction networks, and show how a particular framework called chemical organization theory sheds new light on the longstanding complexity–stability debate. Namely, COT provides a novel conceptual landscape plenty of analytic tools to explore the interplay between structure and stability of ecological systems. Given a large set of species and their interactions, COT identifies, in a computationally feasible way, each and every sub-collection of species that is closed and self-maintaining. These sub-collections, (...) called organizations, correspond to the groups of species that can survive together in the long-term. Thus, the set of organizations contains all the stable regimes that can possibly happen in the dynamics of the ecological system. From here, we propose to conceive the notion of stability from the properties of the organizations, and thus apply the vast knowledge on the stability of reaction networks to the complexity–stability debate. As an example of the potential of COT to introduce new mathematical tools, we show that the set of organizations can be equipped with suitable joint and meet operators, and that for certain ecological systems the organizational structure is a non-boolean lattice, providing in this way an unexpected connection between logico-algebraic structures, popular in the foundations of quantum theory, and ecology. (shrink)

We present a novel approach to represent ecological systems using reaction networks, and show how a particular framework called chemical organization theory sheds new light on the longstanding complexity–stability debate. Namely, COT provides a novel conceptual landscape plenty of analytic tools to explore the interplay between structure and stability of ecological systems. Given a large set of species and their interactions, COT identifies, in a computationally feasible way, each and every sub-collection of species that is closed and self-maintaining. These sub-collections, (...) called organizations, correspond to the groups of species that can survive together in the long-term. Thus, the set of organizations contains all the stable regimes that can possibly happen in the dynamics of the ecological system. From here, we propose to conceive the notion of stability from the properties of the organizations, and thus apply the vast knowledge on the stability of reaction networks to the complexity–stability debate. As an example of the potential of COT to introduce new mathematical tools, we show that the set of organizations can be equipped with suitable joint and meet operators, and that for certain ecological systems the organizational structure is a non-boolean lattice, providing in this way an unexpected connection between logico-algebraic structures, popular in the foundations of quantum theory, and ecology. (shrink)

Comparative political theory is at best an embryonic and marginalized endeavor. As practiced in most Western universities, the study of political theory generally involves a rehearsal of the canon of Western political thought from Plato to Marx. Only rarely are practitioners of political thought willing (and professionally encouraged) to transgress the canon and thereby the cultural boundaries of North America and Europe in the direction of genuine comparative investigation. Border Crossings presents an effort to remedy this situation, fully launching a (...) new era in political theory. Thirteen scholars from around the world examine the various political traditions of West, South, and East Asia and engage in a reflective cross-cultural discussion that belies the assumptions of an Asian "essence" and of an unbridgeable gulf between West and non-West. The denial of essential differences does not, however, amount to an endorsement of essential sameness. As viewed and as practiced by contributors to this ground-breaking volume, comparative political theorizing must steer a course between uniformity and radical separation--this is the path of "border crossings.". (shrink)

The aim of this paper is to state the single most powerful argument for use of a non-classical logic in quantum mechanics. In outline the argument is the following. The working logic of a science is the logic of the events and propositions to which probabilities are assigned. A probability should be assigned to every element of the algebra of events. In the case of quantum mechanics probabilities may be assigned to events but not, without restriction, to the (...) conjunction of two events. The conclusion is that the working logic of quantum mechanics is not classical. The nature of the logic that is appropriate for quantum mechanics is examined. (shrink)

The Correspondence Principle of old quantum theory is commonly considered to be the requirement that quantum and classical theories converge in their empirical predictions in the appropriate asymptotic limit. That perception has persisted despite the fact that Bohr and other early proponents of CP clearly did not intend it as a mere requirement, and despite much recent historical work. In this paper, I build on this work by first giving an explicit formulation to the mentioned asymptotic requirement ) and (...) then discussing various possible formulations of CP for emission on the basis of the primary literature as well as general physical and metaphysical considerations. I shall then show that, in all of the most probable interpretations of CP that consider quantum theory as a universal theory, any system incorporating both CR and CP for emission would in fact be inconsistent. Old quantum theory measurably contradicts classical physics in the classical regime. (shrink)

The senses, or sensory modalities, constitute the different ways we have of perceiving the world, such as seeing, hearing, touching, tasting and smelling. But how many senses are there? How many could there be? What makes the senses different? What interaction takes place between the senses? This book is a guide to thinking about these questions. Together with an extensive introduction to the topic, the book contains the key classic papers on this subject together with nine newly commissioned essays.One reason (...) that these questions are important is that we are receiving a huge influx of new information from the sciences that challenges some traditional philosophical views about the senses. This information needs to be incorporated into our view of the senses and perception. Can we do this whilst retaining our pre-existing concepts of the senses and of perception or do we need to revise our concepts? If they need to be revised, then in what way should that be done? Research in diverse areas, such as the nature of human perception, varieties of non-human animal perception, the interaction between different sensory modalities, perceptual disorders, and possible treatments for them, calls into question the platitude that there are five senses, as well as the pre-supposition that we know what we are counting when we count them as five.This book will serve as an inspiring introduction to the topic and as a basis from which further new research will grow. (shrink)

Physicalism ? or roughly the view that the stuff that physics talks about is all the stuff there is ? has had a popular press in philosophical circles during the twentieth century. And yet, at the same time, it has become quite fashionable lately to believe that the mind matters in this world after all and that psychology is an autonomous science irreducible to physics. However, if (true, downward) mental causation implies non-reducibility and Physicalism implies the converse, it is (...) hard to see how these two views could be compatible. This paper reviews some classical arguments purportedly showing how the autonomy of the special sciences can be upheld without violating the laws of physics or the principle that physics constitutes a complete and closed system. These arguments are presented in order of increasing strength, indicating how the more popular arguments in fact fall short of establishing anti-reductionism of the intended kind. New arguments are added which claim to demonstrate quite effectively how downward causation is possible compatibly with the reign of physics. The paper begins with a section which distinguishes various kinds of reductionism. (shrink)

We discuss the possible nature and role of non-physical entanglement, and the classical vs. non-classical interface, in models of human decision-making. We also introduce an experimental setting designed after the double-slit experiment in physics, and discuss how it could be used to discriminate between classical and non-classical interference effects in human decisions.

Ecosystems services are provisions that humans derive from nature. Ecologists trying to value ecosystems have proposed five categories of these services: preserving, supporting, provisioning, regulating and cultural. While this ecosystem services framework attributes 'material' value to nature, sacred natural sites are areas of 'non-material' spiritual significance to people. Can we reconcile the material and non-material values? Ancient classical traditions recognise five elements of nature: earth, water, air, fire and ether. This commentary demonstrates that the perceived properties of these elements (...) correspond with the ecosystem services framework. Whilst the two can be reconciled, the 'elements of nature' framework is argued to be more suitable to make a case for conservation of sacred natural sites because it can be attractive to traditional societies whilst being acceptable to Western science. (shrink)

Embodied and extended cognition is a relatively new paradigm within cognitive science that challenges the basic tenet of classical cognitive science, viz. cognition consists in building and manipulating internal representations. Some of the pioneers of embodied cognitive science have claimed that this new way of conceptualizing cognition puts pressure on epistemological and ontological realism. In this paper I will argue that such anti-realist conclusions do not follow from the basic assumptions of radical embodied cognitive science. (...) Furthermore I will show that one can develop a form of realism that reflects rather than just accommodates the core principles of non-representationalist embodied cognitive science. (shrink)

The first part of this paper presents an argument showing that the currently most highly acclaimed interventionist theory of causation, i.e. the one advanced by Woodward, excludes supervening macro properties from having a causal influence on effects of their micro supervenience bases. Moreover, this interventionist exclusion argument is demonstrated to rest on weaker premises than classical exclusion arguments. The second part then discusses a weakening of interventionism that Woodward suggests. This weakened version of interventionism turns out either to be (...) inapplicable to cases of downward causation involving supervening macro properties or to render corresponding causal claims meaningless. In sum, the paper argues that, contrary to what many non-reductive physicalists claim, interventionism does not render non-reductive physicalism immune to the problem of causal exclusion. (shrink)

This paper presents a survey of the philosophy of science in Estonia. Topics covered include the historical background (science at the 17th century Academia Gustaviana, in the 19th century, during the Soviet period) and an overview of the current situation and main areas of research (the problem of demarcation, a critique of the traditional understandings of science, φ-science, classical and non-classical science, the philosophy of chemistry, the problem of induction, the sociology of scientific (...) knowledge, semiotics as a methodology). (shrink)