Results for 'Virtual theory of sets'

987 found
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  1. A New Theory of Free Will.Marcus Arvan - 2013 - Philosophical Forum 44 (1):1-48.
    This paper shows that several live philosophical and scientific hypotheses – including the holographic principle and multiverse theory in quantum physics, and eternalism and mind-body dualism in philosophy – jointly imply an audacious new theory of free will. This new theory, "Libertarian Compatibilism", holds that the physical world is an eternally existing array of two-dimensional information – a vast number of possible pasts, presents, and futures – and the mind a nonphysical entity or set of properties that (...)
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  2. Immersive ideals / critical distances : study of the affinity between artistic ideologies in virtual Reality and previous immersive idioms.Joseph Nechvatal (ed.) - 2010 - Berlin: LAP Lambert Academic Publishing AG & Co KG.
    My research into Virtual Reality technology and its central property of immersion has indicated that immersion in Virtual Reality (VR) electronic systems is a significant key to the understanding of contemporary culture as well as considerable aspects of previous culture as detected in the histories of philosophy and the visual arts. The fundamental change in aesthetic perception engendered by immersion, a perception which is connected to the ideal of total-immersion in virtual space, identifies certain shifts in ontology (...)
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  3. Kuznetsov V. From studying theoretical physics to philosophical modeling scientific theories: Under influence of Pavel Kopnin and his school.Volodymyr Kuznetsov - 2017 - ФІЛОСОФСЬКІ ДІАЛОГИ’2016 ІСТОРІЯ ТА СУЧАСНІСТЬ У НАУКОВИХ РОЗМИСЛАХ ІНСТИТУТУ ФІЛОСОФІЇ 11:62-92.
    The paper explicates the stages of the author’s philosophical evolution in the light of Kopnin’s ideas and heritage. Starting from Kopnin’s understanding of dialectical materialism, the author has stated that category transformations of physics has opened from conceptualization of immutability to mutability and then to interaction, evolvement and emergence. He has connected the problem of physical cognition universals with an elaboration of the specific system of tools and methods of identifying, individuating and distinguishing objects from a scientific theory domain. (...)
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  4. Note on the Significance of the New Logic.Frederique Janssen-Lauret - 2018 - The Reasoner 6 (12):47-48.
    Brief note explaining the content, importance, and historical context of my joint translation of Quine's The Significance of the New Logic with my single-authored historical-philosophical essay 'Willard Van Orman Quine's Philosophical Development in the 1930s and 1940s'.
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  5. Against the Virtual: Kleinherenbrink’s Externality Thesis and Deleuze’s Machine Ontology.Ekin Erkan - 2020 - Cosmos and History 16 (1):492-599.
    Drawing from Arjen Kleinherenbrink's recent book, Against Continuity: Gilles Deleuze's Speculative Realism (2019), this paper undertakes a detailed review of Kleinherenbrink's fourfold "externality thesis" vis-à-vis Deleuze's machine ontology. Reading Deleuze as a philosopher of the actual, this paper renders Deleuzean syntheses as passive contemplations, pulling other (passive) entities into an (active) experience and designating relations as expressed through contraction. In addition to reviewing Kleinherenbrink's book (which argues that the machine ontology is a guiding current that emerges in Deleuze's work after (...)
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  6. Serious theories and skeptical theories: Why you are probably not a brain in a vat.Michael Huemer - 2016 - Philosophical Studies 173 (4):1031-1052.
    Skeptical hypotheses such as the brain-in-a-vat hypothesis provide extremely poor explanations for our sensory experiences. Because these scenarios accommodate virtually any possible set of evidence, the probability of any given set of evidence on the skeptical scenario is near zero; hence, on Bayesian grounds, the scenario is not well supported by the evidence. By contrast, serious theories make reasonably specific predictions about the evidence and are then well supported when these predictions are satisfied.
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  7. Librationist cum classical theories of sets.Frode Bjørdal - manuscript
    The focus in this essay will be upon the paradoxes, and foremostly in set theory. A central result is that the librationist set theory £ extension \Pfund $\mathscr{HR}(\mathbf{D})$ of \pounds \ accounts for \textbf{Neumann-Bernays-Gödel} set theory with the \textbf{Axiom of Choice} and \textbf{Tarski's Axiom}. Moreover, \Pfund \ succeeds with defining an impredicative manifestation set $\mathbf{W}$, \emph{die Welt}, so that \Pfund$\mathscr{H}(\mathbf{W})$ %is a model accounts for Quine's \textbf{New Foundations}. Nevertheless, the points of view developed support the view that (...)
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  8. Probing finite coarse-grained virtual Feynman histories with sequential weak values.Danko D. Georgiev & Eliahu Cohen - 2018 - Physical Review A 97 (5):052102.
    Feynman's sum-over-histories formulation of quantum mechanics has been considered a useful calculational tool in which virtual Feynman histories entering into a coherent quantum superposition cannot be individually measured. Here we show that sequential weak values, inferred by consecutive weak measurements of projectors, allow direct experimental probing of individual virtual Feynman histories, thereby revealing the exact nature of quantum interference of coherently superposed histories. Because the total sum of sequential weak values of multitime projection operators for a complete set (...)
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  9. What makes a `good' modal theory of sets?Neil Barton - manuscript
    I provide an examination and comparison of modal theories for underwriting different non-modal theories of sets. I argue that there is a respect in which the `standard' modal theory for set construction---on which sets are formed via the successive individuation of powersets---raises a significant challenge for some recently proposed `countabilist' modal theories (i.e. ones that imply that every set is countable). I examine how the countabilist can respond to this issue via the use of regularity axioms and (...)
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  10. Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Vladimir Kanovei, Mikhail G. Katz & Thomas Mormann - 2013 - Foundations of Science 18 (2):259-296.
    We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets (...)
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  11. Category theory and set theory as theories about complementary types of universals.David P. Ellerman - 2017 - Logic and Logical Philosophy 26 (2):1-18.
    Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical (...)
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  12. Telepresence and the Role of the Senses.Ingvar Tjostheim, Wolfgang Leister & J. Waterworth - 2019 - In Matteo Vincenzo D'Alfonso & Don Berkich (eds.), On the Cognitive, Ethical, and Scientific Dimensions of Artificial Intelligence. Springer Verlag. pp. 169-187.
    The telepresence experience can be evoked in a number of ways. A well-known example is a player of videogames who reports about a telepresence experience, a subjective experience of being in one place or environment, even when physically situated in another place. In this paper we set the phenomenon of telepresence into a theoretical framework. As people react subjectively to stimuli from telepresence, empirical studies can give more evidence about the phenomenon. Thus, our contribution is to bridge the theoretical with (...)
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  13. REVIEW OF Alfred Tarski, Collected Papers, vols. 1-4 (1986) edited by Steven Givant and Ralph McKenzie. [REVIEW]John Corcoran - 1991 - MATHEMATICAL REVIEWS 91 (h):01101-4.
    Alfred Tarski (1901--1983) is widely regarded as one of the two giants of twentieth-century logic and also as one of the four greatest logicians of all time (Aristotle, Frege and Gödel being the other three). Of the four, Tarski was the most prolific as a logician. The four volumes of his collected papers, which exclude most of his 19 monographs, span over 2500 pages. Aristotle's writings are comparable in volume, but most of the Aristotelian corpus is not about logic, whereas (...)
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  14. On the limits of quantitative genetics for the study of phenotypic evolution.Massimo Pigliucci & Carl D. Schlichting - 1997 - Acta Biotheoretica 45 (2):143-160.
    During the last two decades the role of quantitative genetics in evolutionary theory has expanded considerably. Quantitative genetic-based models addressing long term phenotypic evolution, evolution in multiple environments (phenotypic plasticity) and evolution of ontogenies (developmental trajectories) have been proposed. Yet, the mathematical foundations of quantitative genetics were laid with a very different set of problems in mind (mostly the prediction of short term responses to artificial selection), and at a time in which any details of the genetic machinery were (...)
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  15.  66
    Should Theories of Logical Validity Self-Apply?Marco Grossi - forthcoming - Erkenntnis.
    Some philosophers argue that a theory of logical validity should not interpret its own language, because a Russellian argument shows that self-applicability is inconsistent with the ability to capture all the interpretations of its own language. First, I set up a formal system to examine the Russellian argument. I then defend the need for self-applicability. I argue that self-applicability seems to be implied by generality, and that the Russellian argument rests on a test for meaning that is biased against (...)
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  16. A Differential Play of Forces. Transcendental Empiricism and Music.Torbjørn Eftestøl - 2023 - Dissertation, Norwegian Academy of Music
    'A Differential Play of Forces' is a study of transcendental empiricism in musical contexts. It presents a reading of Gilles Deleuze and Félix Guattari’s philosophical apparatus and explores how music can be thought of as functioning in the operation Deleuze terms transcendental empiricism. Central to transcendental empiricism is the idea of an encounter with intensive difference and the consequent experience of intensive and virtual forces. The thesis sets out to explore this idea in three interwoven steps. First, it (...)
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  17. Another use of set theory.Patrick Dehornoy - 1996 - Bulletin of Symbolic Logic 2 (4):379-391.
    Here, we analyse some recent applications of set theory to topology and argue that set theory is not only the closed domain where mathematics is usually founded, but also a flexible framework where imperfect intuitions can be precisely formalized and technically elaborated before they possibly migrate toward other branches. This apparently new role is mostly reminiscent of the one played by other external fields like theoretical physics, and we think that it could contribute to revitalize the interest in (...)
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  18. Willard Van Orman Quine's Philosophical Development in the 1930s and 1940s.Frederique Janssen-Lauret - 2018 - In Willard Van Orman Quine, Walter Carnielli, Frederique Janssen-Lauret & William Pickering (eds.), The Significance of the New Logic. Cambridge: Cambridge University Press.
    As analytic philosophy is becoming increasingly aware of and interested in its own history, the study of that field is broadening to include, not just its earliest beginnings, but also the mid-twentieth century. One of the towering figures of this epoch is W.V. Quine (1908-2000), champion of naturalism in philosophy of science, pioneer of mathematical logic, trying to unite an austerely physicalist theory of the world with the truths of mathematics, psychology, and linguistics. Quine's posthumous papers, notes, and drafts (...)
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  19. Level Theory, Part 3: A Boolean Algebra of Sets Arranged in Well-Ordered Levels.Tim Button - 2022 - Bulletin of Symbolic Logic 28 (1):1-26.
    On a very natural conception of sets, every set has an absolute complement. The ordinary cumulative hierarchy dismisses this idea outright. But we can rectify this, whilst retaining classical logic. Indeed, we can develop a boolean algebra of sets arranged in well-ordered levels. I show this by presenting Boolean Level Theory, which fuses ordinary Level Theory (from Part 1) with ideas due to Thomas Forster, Alonzo Church, and Urs Oswald. BLT neatly implement Conway’s games and surreal (...)
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  20. C‐theories of time: On the adirectionality of time.Matt Farr - 2020 - Philosophy Compass (12):1-17.
    “The universe is expanding, not contracting.” Many statements of this form appear unambiguously true; after all, the discovery of the universe’s expansion is one of the great triumphs of empirical science. However, the statement is time-directed: the universe expands towards what we call the future; it contracts towards the past. If we deny that time has a direction, should we also deny that the universe is really expanding? This article draws together and discusses what I call ‘C-theories’ of time — (...)
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  21. Level theory, part 1: Axiomatizing the bare idea of a cumulative hierarchy of sets.Tim Button - 2021 - Bulletin of Symbolic Logic 27 (4):436-460.
    The following bare-bones story introduces the idea of a cumulative hierarchy of pure sets: 'Sets are arranged in stages. Every set is found at some stage. At any stage S: for any sets found before S, we find a set whose members are exactly those sets. We find nothing else at S.' Surprisingly, this story already guarantees that the sets are arranged in well-ordered levels, and suffices for quasi-categoricity. I show this by presenting Level (...), a simplification of set theories due to Scott, Montague, Derrick, and Potter. (shrink)
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  22. (1 other version)Problems of representation I: nature and role.Dan Ryder - 2009 - In Sarah Robins, John Symons & Paco Calvo (eds.), The Routledge Companion to Philosophy of Psychology. New York, NY: Routledge. pp. 233.
    Introduction There are some exceptions, which we shall see below, but virtually all theories in psychology and cognitive science make use of the notion of representation. Arguably, folk psychology also traffics in representations, or is at least strongly suggestive of their existence. There are many different types of things discussed in the psychological and philosophical literature that are candidates for representation-hood. First, there are the propositional attitudes – beliefs, judgments, desires, hopes etc. (see Chapters 9 and 17 of this volume). (...)
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  23. Multiversism and Concepts of Set: How Much Relativism Is Acceptable?Neil Barton - 2016 - In Francesca Boccuni & Andrea Sereni (eds.), Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics. Cham, Switzerland: Springer International Publishing. pp. 189-209.
    Multiverse Views in set theory advocate the claim that there are many universes of sets, no-one of which is canonical, and have risen to prominence over the last few years. One motivating factor is that such positions are often argued to account very elegantly for technical practice. While there is much discussion of the technical aspects of these views, in this paper I analyse a radical form of Multiversism on largely philosophical grounds. Of particular importance will be an (...)
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  24. Causal Theories of Spacetime.Sam Baron & Baptiste Le Bihan - 2023 - Noûs 58 (1):202-224.
    We develop a new version of the causal theory of spacetime. Whereas traditional versions of the theory seek to identify spatiotemporal relations with causal relations, the version we develop takes causal relations to be the grounds for spatiotemporal relations. Causation is thus distinct from, and more basic than, spacetime. We argue that this non-identity theory, suitably developed, avoids the challenges facing the traditional identity theory.
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  25.  35
    The sufficiency theory of justice and the allocation of health resources.Dick Timmer - forthcoming - Bioethics.
    According to the sufficiency theory of justice in health, justice requires that people have equal access to adequate health. In this article, I lay out the structure of this view and I assess its distributive implications for setting priority (i) between health needs across persons and (ii) between health care spending and other societal goods. I argue, first, that according to the sufficiency theory, deficiency in health cannot be completely offset by providing other societal goods. And, second, that (...)
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  26. Against the iterative conception of set.Edward Ferrier - 2019 - Philosophical Studies 176 (10):2681-2703.
    According to the iterative conception of set, each set is a collection of sets formed prior to it. The notion of priority here plays an essential role in explanations of why contradiction-inducing sets, such as the Russell set, do not exist. Consequently, these explanations are successful only to the extent that a satisfactory priority relation is made out. I argue that attempts to do this have fallen short: understanding priority in a straightforwardly constructivist sense threatens the coherence of (...)
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  27. A taste of set theory for philosophers.Jouko Väänänen - 2011 - Journal of the Indian Council of Philosophical Research (2):143-163.
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  28. The entanglement of logic and set theory, constructively.Laura Crosilla - 2022 - Inquiry: An Interdisciplinary Journal of Philosophy 65 (6).
    ABSTRACT Theories of sets such as Zermelo Fraenkel set theory are usually presented as the combination of two distinct kinds of principles: logical and set-theoretic principles. The set-theoretic principles are imposed ‘on top’ of first-order logic. This is in agreement with a traditional view of logic as universally applicable and topic neutral. Such a view of logic has been rejected by the intuitionists, on the ground that quantification over infinite domains requires the use of intuitionistic rather than classical (...)
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  29. A Theory of Evolution as a Process of Unfolding.Agustin Ostachuk - 2020 - Cosmos and History: The Journal of Natural and Social Philosophy 16 (1):347-379.
    In this work I propose a theory of evolution as a process of unfolding. This theory is based on four logically concatenated principles. The principle of evolutionary order establishes that the more complex cannot be generated from the simpler. The principle of origin establishes that there must be a maximum complexity that originates the others by logical deduction. Finally, the principle of unfolding and the principle of actualization guarantee the development of the evolutionary process from the simplest to (...)
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  30. A theory of presumption for everyday argumentation.David M. Godden & Douglas N. Walton - 2007 - Pragmatics and Cognition 15 (2):313-346.
    The paper considers contemporary models of presumption in terms of their ability to contribute to a working theory of presumption for argumentation. Beginning with the Whatelian model, we consider its contemporary developments and alternatives, as proposed by Sidgwick, Kauffeld, Cronkhite, Rescher, Walton, Freeman, Ullmann-Margalit, and Hansen. Based on these accounts, we present a picture of presumptions characterized by their nature, function, foundation and force. On our account, presumption is a modal status that is attached to a claim and has (...)
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  31. Internal Set Theory IST# Based on Hyper Infinitary Logic with Restricted Modus Ponens Rule: Nonconservative Extension of the Model Theoretical NSA.Jaykov Foukzon - 2022 - Journal of Advances in Mathematics and Computer Science 37 (7): 16-43.
    The incompleteness of set theory ZF C leads one to look for natural nonconservative extensions of ZF C in which one can prove statements independent of ZF C which appear to be “true”. One approach has been to add large cardinal axioms.Or, one can investigate second-order expansions like Kelley-Morse class theory, KM or Tarski-Grothendieck set theory T G or It is a nonconservative extension of ZF C and is obtained from other axiomatic set theories by the inclusion (...)
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  32. Theory of erasing (dropping) the Present.Jalal Khawaldeh - 2023 - Https://Papers.Ssrn.Com/Sol3/Papers.Cfm?Abstract_Id=4568243.
    Time has puzzled scientists. Some see it as just a tool and a unit of measurement, while others consider time to be a real thing and needs to be measured. There are also those who believe that time is an ancient thing that arose with the creation of the universe and the Earth, running parallel to life in them, and counting every movement, event, or speed in them. While some see it as an essential part and a major component of (...)
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  33. Free Energy and Virtual Reality in Psychoanalysis and Neuroscience: A Complexity Theory of Dreaming and Mental Disorder.Jim Hopkins - 2016 - Frontiers in Psychology 7.
    This paper compares the free energy neuroscience now advocated by Karl Friston and his colleagues with that hypothesised by Freud, arguing that Freud's notions of conflict and trauma can be understood in terms of computational complexity. It relates Hobson and Friston's work on dreaming and the reduction of complexity to contemporary accounts of dreaming and the consolidation of memory, and advances the hypothesis that mental disorder can be understood in terms of computational complexity and the mechanisms, including synaptic pruning, that (...)
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  34. A theory of truth for a class of mathematical languages and an application.S. Heikkilä - manuscript
    In this paprer a class of so called mathematically acceptable (shortly MA) languages is introduced First-order formal languages containing natural numbers and numerals belong to that class. MA languages which are contained in a given fully interpreted MA language augmented by a monadic predicate are constructed. A mathematical theory of truth (shortly MTT) is formulated for some of these languages. MTT makes them fully interpreted MA languages which posses their own truth predicates, yielding consequences to philosophy of mathematics. MTT (...)
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  35. Unspecific Evidence and Normative Theories of Decision.Rhys Borchert - forthcoming - Episteme:1-23.
    The nature of evidence is a problem for epistemology, but I argue that this problem intersects with normative decision theory in a way that I think is underappreciated. Among some decision theorists, there is a presumption that one can always ignore the nature of evidence while theorizing about principles of rational choice. In slogan form: decision theory only cares about the credences agents actually have, not the credences they should have. I argue against this presumption. In particular, I (...)
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  36. The material theory of induction and the epistemology of thought experiments.Michael T. Stuart - 2020 - Studies in History and Philosophy of Science Part A 83 (C):17-27.
    John D. Norton is responsible for a number of influential views in contemporary philosophy of science. This paper will discuss two of them. The material theory of induction claims that inductive arguments are ultimately justified by their material features, not their formal features. Thus, while a deductive argument can be valid irrespective of the content of the propositions that make up the argument, an inductive argument about, say, apples, will be justified (or not) depending on facts about apples. The (...)
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  37.  42
    The Strategic Allocation Theory of Vigilance.Samuel Murray & Santiago Amaya - forthcoming - WIREs Cognitive Science.
    Despite its importance in different occupational and everyday contexts, vigilance, typically defined as the capacity to sustain attention over time, is remarkably limited. What explains these limits? Two theories have been proposed. The Overload Theory states that being vigilant consumes limited information-processing resources; when depleted, task performance degrades. The Underload Theory states that motivation to perform vigilance tasks declines over time, thereby prompting attentional shifts and hindering performance. We highlight some conceptual and empirical problems for both theories and (...)
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  38. Theory of Cooperative-Competitive Intelligence: Principles, Research Directions, and Applications.Robert Hristovski & Natàlia Balagué - 2020 - Frontiers in Psychology 11.
    We present a theory of cooperative-competitive intelligence (CCI), its measures, research program, and applications that stem from it. Within the framework of this theory, satisficing sub-optimal behavior is any behavior that does not promote a decrease in the prospective control of the functional action diversity/unpredictability (D/U) potential of the agent or team. This potential is defined as the entropy measure in multiple, context-dependent dimensions. We define the satisficing interval of behaviors as CCI. In order to manifest itself at (...)
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  39. Brecht’s Life of Galileo: Staging theory of the encounter of practices.Alejo Stark - 2024 - Galilaeana. Studies in Renaissance and Early Modern Science (1):145-165.
    Brecht’s Life of Galileo provides elements for elaborating what I call “a theory of the encounter of practices”. The concept of the encounter pushes back against teleological theories that predestine modern science to operate as an instrument of domination. I argue that Life of Galileo stages the missed encounters in modernity between science, politics, and art at the same time as it foregrounds the emancipatory power of science. I trace the encounter of practices from the play’s opening scenes – (...)
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  40. Throwing spatial light: on topological explanations in Gestalt psychology.Bartłomiej Skowron & Krzysztof Wójtowicz - 2020 - Phenomenology and the Cognitive Sciences 20 (3):537-558.
    It is a well-known fact that mathematics plays a crucial role in physics; in fact, it is virtually impossible to imagine contemporary physics without it. But it is questionable whether mathematical concepts could ever play such a role in psychology or philosophy. In this paper, we set out to examine a rather unobvious example of the application of topology, in the form of the theory of persons proposed by Kurt Lewin in hisPrinciples of Topological Psychology. Our aim is to (...)
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  41. Forcing and the Universe of Sets: Must We Lose Insight?Neil Barton - 2020 - Journal of Philosophical Logic 49 (4):575-612.
    A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that (...)
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  42. A general framework for a Second Philosophy analysis of set-theoretic methodology.Carolin Antos & Deborah Kant - manuscript
    Penelope Maddy’s Second Philosophy is one of the most well-known ap- proaches in recent philosophy of mathematics. She applies her second-philosophical method to analyze mathematical methodology by reconstructing historical cases in a setting of means-ends relations. However, outside of Maddy’s own work, this kind of methodological analysis has not yet been extensively used and analyzed. In the present work, we will make a first step in this direction. We develop a general framework that allows us to clarify the procedure and (...)
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  43. On a Theory of Truth and on the Regress Problem.S. Heikkilä - manuscript
    A theory of truth is introduced for a first--order language L of set theory. Fully interpreted metalanguages which contain their truth predicates are constructed for L. The presented theory is free from infinite regress, whence it provides a proper framework to study the regress problem. Only ZF set theory, concepts definable in L and classical two-valued logic are used.
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  44. Reconsidering Avicennan Theory of Science: Ṣadr al-Sharīʿa and Taftāzānī’s Discussions of the Issue of the Subject Matter.Kenan Tekin - 2023 - Beytulhikme An International Journal of Philosophy 13 (13:3):17-38.
    Post-classical period witnessed intense debates on aspects of the Avicennan theory of science. Among them one set of discussions concerned the issue of subject matter (mabāhith al-mawdūʿ) in a science. They were raised by Ṣadr al-Sharīʿa (d. 747/1346) in the introduction of his al-Tawḍīh, a commentary on his legal theory text al-Tanqīḥ. Therein, he raised three questions: (1) whether the subject matter of a science can be multiple, (2) what restricting subject matter of a science means, and (3) (...)
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  45. Rationality and Acquaintance in Theories of Introspection.Daniel Stoljar - forthcoming - In Davide Bordini, Arnaud Dewalque & Anna Giustina (eds.), Consciousness and Inner Awareness. Cambridge University Press.
    Abstract: According to a rationalist theory of introspection, rational agents have a capacity to believe they are in conscious states when they are in them, much as they have the capacity, for example, to avoid obvious contradictions in their beliefs. For the agent to know or believe by introspection, on this view, is for them to exercise that capacity. According to an acquaintance theory of introspection, by contrast, whenever an agent is in a conscious state, the agent is (...)
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  46. Wand/Set Theories: A realization of Conway's mathematicians' liberation movement, with an application to Church's set theory with a universal set.Tim Button - forthcoming - Journal of Symbolic Logic.
    Consider a variant of the usual story about the iterative conception of sets. As usual, at every stage, you find all the (bland) sets of objects which you found earlier. But you also find the result of tapping any earlier-found object with any magic wand (from a given stock of magic wands). -/- By varying the number and behaviour of the wands, we can flesh out this idea in many different ways. This paper's main Theorem is that any (...)
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  47. Logic of paradoxes in classical set theories.Boris Čulina - 2013 - Synthese 190 (3):525-547.
    According to Cantor (Mathematische Annalen 21:545–586, 1883 ; Cantor’s letter to Dedekind, 1899 ) a set is any multitude which can be thought of as one (“jedes Viele, welches sich als Eines denken läßt”) without contradiction—a consistent multitude. Other multitudes are inconsistent or paradoxical. Set theoretical paradoxes have common root—lack of understanding why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of thought? Moreover, it is a logical truth that such multitudes (...)
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  48. Chrysippus' Theory of Causes.Susanne Bobzien - 1998 - In Katerina Ierodiakonou (ed.), Topics in stoic philosophy. New York: Oxford University Press.
    ABSTRACT: A systematic reconstruction of Chrysippus’ theory of causes, grounded on the Stoic tenets that causes are bodies, that they are relative, and that all causation can ultimately be traced back to the one ‘active principle’ which pervades all things. I argue that Chrysippus neither developed a finished taxonomy of causes, nor intended to do so, and that he did not have a set of technical terms for mutually exclusive classes of causes. Rather, the various adjectives which he used (...)
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  49. A Theory of Names and True Intensionality.Reinhard Muskens - 2012 - In Maria Aloni, V. Kimmelman, Floris Roelofsen, G. Weidman Sassoon, Katrin Schulz & M. Westera (eds.), Logic, Language and Meaning: 18th Amsterdam Colloquium. Springer. pp. 441-449.
    Standard approaches to proper names, based on Kripke's views, hold that the semantic values of expressions are (set-theoretic) functions from possible worlds to extensions and that names are rigid designators, i.e.\ that their values are \emph{constant} functions from worlds to entities. The difficulties with these approaches are well-known and in this paper we develop an alternative. Based on earlier work on a higher order logic that is \emph{truly intensional} in the sense that it does not validate the axiom scheme of (...)
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  50. A Revolutionary New Metaphysics, Based on Consciousness, and a Call to All Philosophers.Lorna Green - manuscript
    June 2022 A Revolutionary New Metaphysics, Based on Consciousness, and a Call to All Philosophers We are in a unique moment of our history unlike any previous moment ever. Virtually all human economies are based on the destruction of the Earth, and we are now at a place in our history where we can foresee if we continue on as we are, our own extinction. As I write, the planet is in deep trouble, heat, fires, great storms, and record flooding, (...)
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