Results for 'ISOMORPHIC'

52 found
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  1.  99
    The Lamp of Reason and the Mirror of Nature.Preston Stovall - 2019 - In Randall Auxier, Eli Kramer & Krzysztof P. Skowronski (eds.), Beyond Rorty. Lanham: Lexington Books. pp. 215-234.
    At the close of Philosophy and the Mirror of Nature Richard Rorty lays out a contrast between what he calls 'systematic' and 'edifying' philosophical anthropologies. Whereas the systematic philosopher aims to speak for the ages, the edifying philosopher addresses herself to issues of her day, often by way of shattering conventional idols. Rorty sees these two approaches as mutually exclusive. The aim of this paper is to defend a conception of philosophy as both systematic and edifying in the relevant senses. (...)
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  2. Essays on the Metaphysics of Quantum Mechanics.Eddy Keming Chen - 2019 - Dissertation, Rutgers University, New Brunswick
    What is the proper metaphysics of quantum mechanics? In this dissertation, I approach the question from three different but related angles. First, I suggest that the quantum state can be understood intrinsically as relations holding among regions in ordinary space-time, from which we can recover the wave function uniquely up to an equivalence class (by representation and uniqueness theorems). The intrinsic account eliminates certain conventional elements (e.g. overall phase) in the representation of the quantum state. It also dispenses with first-order (...)
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  3. On the Logics with Propositional Quantifiers Extending S5Π.Yifeng Ding - 2018 - In Guram Bezhanishvili, Giovanna D'Agostino, George Metcalfe & Thomas Studer (eds.), Advances in Modal Logic 12, proceedings of the 12th conference on "Advances in Modal Logic," held in Bern, Switzerland, August 27-31, 2018. pp. 219-235.
    Scroggs's theorem on the extensions of S5 is an early landmark in the modern mathematical studies of modal logics. From it, we know that the lattice of normal extensions of S5 is isomorphic to the inverse order of the natural numbers with infinity and that all extensions of S5 are in fact normal. In this paper, we consider extending Scroggs's theorem to modal logics with propositional quantifiers governed by the axioms and rules analogous to the usual ones for ordinary (...)
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  4. Multiple-domain supervenience for non-classical mereologies.Ralf M. Bader - forthcoming - In Ontological Dependence and Supervenience. Philosophia.
    This paper develops co-ordinated multiple-domain supervenience relations to model determination and dependence relations between complex entities and their constituents by appealing to R-related pairs and by making use of associated isomorphisms. Supervenience relations are devised for order-sensitive and repetition-sensitive mereologies, for mereological systems that make room for many-many composition relations, as well as for hierarchical mereologies that incorporate compositional and hylomorphic structure. Finally, mappings are provided for theories that consider wholes to be prior to their parts.
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  5.  74
    The Philosophy of Exemplarity: Singularity, Particularity, and Self-Reference.Mácha Jakub - 2022 - New York: Routledge.
    This book offers an original philosophical perspective on exemplarity. Inspired by Wittgenstein’s later work and Derrida’s theory of deconstruction, it argues that examples are not static entities but rather oscillate between singular and universal moments. There is a broad consensus that exemplary cases mediate between singular instances and universal concepts or norms. In the first part of the book, Mácha contends that there is a kind of différance between singular examples and general exemplars or paradigms. Every example is, in part, (...)
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  6. The Creolizing Genre of SF and the Nightmare of Whiteness in John W. Campbell’s “Who Goes There?”.Bernabe S. Mendoza - 2018 - Journal of Science Fiction and Philosophy 1:1-16.
    The alien in science fiction has not often been seen as part of an imperial colonial discourse. By examining John W. Campbell’s founding golden age SF text, “Who Goes There?” (1938), this paper explores the ways in which the alien adheres to an invisible mythos of whiteness that has come to be seen through a colonizing logic as isomorphic with the human. Campbell’s alien-monster comes to disseminate and invade both self and world and as such serves as an interrogation (...)
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  7. New foundations for imperative logic I: Logical connectives, consistency, and quantifiers.Peter B. M. Vranas - 2008 - Noûs 42 (4):529-572.
    Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much (...)
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  8. the primacy of use over naming.Alok Sahu - 2019 - IOSR 24 (5):26-34.
    In Philosophical Investigations, Wittgenstein proposed the notion of meaning that accounts for the large variety of contexts in which we apply the term “meaning”. This paper agreement with the manner in which Wittgenstein enhance his conception of meaning emphasizing his methodology of observation and description of particular cases. By applying a descriptive approach, Wittgenstein demonstrated that meaning of the term does not reside in physical or mental objects as well as in its correlations. As a result of contrasting denotative theory (...)
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  9. Computable bi-embeddable categoricity.Luca San Mauro, Nikolay Bazhenov, Ekaterina Fokina & Dino Rossegger - 2018 - Algebra and Logic 5 (57):392-396.
    We study the algorithmic complexity of isomorphic embeddings between computable structures.
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  10. Completeness of a first-order temporal logic with time-gaps.Matthias Baaz, Alexander Leitsch & Richard Zach - 1996 - Theoretical Computer Science 160 (1-2):241-270.
    The first-order temporal logics with □ and ○ of time structures isomorphic to ω (discrete linear time) and trees of ω-segments (linear time with branching gaps) and some of its fragments are compared: the first is not recursively axiomatizable. For the second, a cut-free complete sequent calculus is given, and from this, a resolution system is derived by the method of Maslov.
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  11. Memory Structure and Cognitive Maps.Sarah K. Robins, Sara Aronowitz & Arjen Stolk - forthcoming - In Felipe De Brigard & Walter Sinnott Armstrong (eds.), Neuroscience & Philosophy.
    A common way to understand memory structures in the cognitive sciences is as a cognitive map​. Cognitive maps are representational systems organized by dimensions shared with physical space. The appeal to these maps begins literally: as an account of how spatial information is represented and used to inform spatial navigation. Invocations of cognitive maps, however, are often more ambitious; cognitive maps are meant to scale up and provide the basis for our more sophisticated memory capacities. The extension is not meant (...)
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  12. “Noema” and “Noesis” by Information after Husserl’s Phenomenology Interpreted Formally.Vasil Penchev - 2021 - Metaphysics eJournal, SSRN 14 (22):1-19.
    Along with “epoché” or his “reductions”, Husserl’s “noema” and “noesis”, being neologisms invented by him, are main concepts in phenomenology able to represent its originality. Following the trace of a recent paper (Penchev 2021 July 23), its formal and philosophical approach is extended to both correlative notions, in the present article. They are able to reveal the genesis of the world from consciousness in a transcendental method relevant to Husserl, but furthermore described formally as a process of how subjective temporality (...)
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  13. Temporary Intrinsics and Christological Predication.Timothy Pawl - 2016 - In Jon Kvanvig (ed.), Oxford Studies in Philosophy of Religion, VII. Oxford: Oxford University Press. pp. 157-189.
    In this paper I show that the problem of temporary intrinsics and a fundamental philosophical problem concerning the doctrine of the incarnation are isomorphic. To do so, I present the problem of temporary intrinsics, along with five responses to the problem. I then present the fundamental problem for Christology, which I call the problem of natural intrinsics. I present six responses to that problem, all but the last analogous to a response to the problem of temporary intrinsics. My goal (...)
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  14. The Nature and Implementation of Representation in Biological Systems.Mike Collins - 2009 - Dissertation, City University of New York
    I defend a theory of mental representation that satisfies naturalistic constraints. Briefly, we begin by distinguishing (i) what makes something a representation from (ii) given that a thing is a representation, what determines what it represents. Representations are states of biological organisms, so we should expect a unified theoretical framework for explaining both what it is to be a representation as well as what it is to be a heart or a kidney. I follow Millikan in explaining (i) in terms (...)
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  15.  72
    Weakly Free Multialgebras.Marcelo E. Coniglio & Guilherme V. Toledo - 2022 - Bulletin of the Section of Logic 51 (1):109-141.
    In abstract algebraic logic, many systems, such as those paraconsistent logics taking inspiration from da Costa's hierarchy, are not algebraizable by even the broadest standard methodologies, as that of Blok and Pigozzi. However, these logics can be semantically characterized by means of non-deterministic algebraic structures such as Nmatrices, RNmatrices and swap structures. These structures are based on multialgebras, which generalize algebras by allowing the result of an operation to assume a non-empty set of values. This leads to an interest in (...)
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  16. The Principle of Totality and the Limits of Enhancement.Joshua Schulz - 2015 - Ethics and Medicine 31 (3):143-57.
    According to the Thomistic tradition, the Principle of Totality (TPoT) articulates a secondary principle of natural law which guides the exercise of human ownership or dominium over creation. In its general signification, TPoT is a principle of distributive justice determining the right ordering of wholes to their parts. In the medical field it is traditionally understood as entailing an absolute prohibition of bodily mutilation as irrational and immoral, and an imperfect obligation to use the parts of one’s body for the (...)
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  17. Symmetry arguments against regular probability: A reply to recent objections.Matthew W. Parker - 2018 - European Journal for Philosophy of Science 9 (1):8.
    A probability distribution is regular if no possible event is assigned probability zero. While some hold that probabilities should always be regular, three counter-arguments have been posed based on examples where, if regularity holds, then perfectly similar events must have different probabilities. Howson (2017) and Benci et al. (2016) have raised technical objections to these symmetry arguments, but we see here that their objections fail. Howson says that Williamson’s (2007) “isomorphic” events are not in fact isomorphic, but Howson (...)
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  18. Symmetry arguments against regular probability: A reply to recent objections.Matthew W. Parker - 2019 - European Journal for Philosophy of Science 9 (1):1-21.
    A probability distribution is regular if it does not assign probability zero to any possible event. While some hold that probabilities should always be regular, three counter-arguments have been posed based on examples where, if regularity holds, then perfectly similar events must have different probabilities. Howson and Benci et al. have raised technical objections to these symmetry arguments, but we see here that their objections fail. Howson says that Williamson’s “isomorphic” events are not in fact isomorphic, but Howson (...)
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  19.  74
    Thought and Image.David L. Thompson - manuscript
    Thought is not based on an image that is isomorphic to the object. Descartes, Husserl, Frege, Wittgenstein and Brandom progressively overcome this Aristotelian misconception of the intentionality of thinking.
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  20. Physics Avoidance & Cooperative Semantics: Inferentialism and Mark Wilson’s Engagement with Naturalism Qua Applied Mathematics.Ekin Erkan - 2020 - Cosmos and History 16 (1):560-644.
    Mark Wilson argues that the standard categorizations of "Theory T thinking"— logic-centered conceptions of scientific organization (canonized via logical empiricists in the mid-twentieth century)—dampens the understanding and appreciation of those strategic subtleties working within science. By "Theory T thinking," we mean to describe the simplistic methodology in which mathematical science allegedly supplies ‘processes’ that parallel nature's own in a tidily isomorphic fashion, wherein "Theory T’s" feigned rigor and methodological dogmas advance inadequate discrimination that fails to distinguish between explanatory structures (...)
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  21. A Formal Model of Metaphor in Frame Semantics.Vasil Penchev - 2015 - In Proceedings of the 41st Annual Convention of the Society for the Study of Artificial Intelligence and the Simulation of Behaviour. New York: Curran Associates, Inc.. pp. 187-194.
    A formal model of metaphor is introduced. It models metaphor, first, as an interaction of “frames” according to the frame semantics, and then, as a wave function in Hilbert space. The practical way for a probability distribution and a corresponding wave function to be assigned to a given metaphor in a given language is considered. A series of formal definitions is deduced from this for: “representation”, “reality”, “language”, “ontology”, etc. All are based on Hilbert space. A few statements about a (...)
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  22. Rethinking Hegel's Conceptual Realism.W. Clark Wolf - 2018 - Review of Metaphysics 72 (2):331-70.
    In this paper, I contest increasingly common "realist" interpretations of Hegel's theory of "the concept" (der Begriff), offering instead a "isomorphic" conception of the relation of concepts and the world. The isomorphism recommended, however, is metaphysically deflationary, for I show how Hegel's conception of conceptual form creates a conceptually internal standard for the adequacy of concepts. No "sideways-on" theory of the concept-world relationship is envisioned. This standard of conceptual adequacy is also "graduated" in that it allows for a lack (...)
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  23.  34
    An Extension of Heron’s Formula to Tetrahedra, and the Projective Nature of Its Zeros.Havel Timothy - manuscript
    A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a tetrahedron is presented. This extension gives the fourth power of the volume as a polynomial in six simple rational functions of the areas of its four faces and of its three medial parallelograms, which will be referred to herein as interior faces. Geometrically, these rational functions are the areas of the triangles into which the exterior faces are divided by the (...)
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  24. Spinoza’s Metaphysics of Thought: Parallelisms and the Multifaceted Structure of Ideas.Yitzhak Y. Melamed - 2013 - Philosophy and Phenomenological Research 86 (3):636-683.
    In this paper, I suggest an outline of a new interpretation of core issues in Spinoza’s metaphysics and philosophy of mind. I argue for three major theses. (1) In the first part of the paper I show that the celebrated Spinozistic doctrine commonly termed “the doctrine of parallelism” is in fact a confusion of two separate and independent doctrines of parallelism. Hence, I argue that our current understanding of Spinoza’s metaphysics and philosophy of mind is fundamentally flawed. (2) The clarification (...)
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  25. A naturalistic justification of the generic multiverse with a core.Matteo de Ceglie - 2018 - Contributions of the Austrian Ludwig Wittgenstein Society 26:34-36.
    In this paper, I argue that a naturalist approach in philosophy of mathematics justifies a pluralist conception of set theory. For the pluralist, there is not a Single Universe, but there is rather a Multiverse, composed by a plurality of universes generated by various set theories. In order to justify a pluralistic approach to sets, I apply the two naturalistic principles developed by Penelope Maddy (cfr. Maddy (1997)), UNIFY and MAXIMIZE, and analyze through them the potential of the set theoretic (...)
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  26. Melis Erdur’s Moral Argument Against Moral Realism.Joshua Blanchard - 2019 - Ethical Theory and Moral Practice 22 (2):371-377.
    In a previous volume of Ethical Theory & Moral Practice, Melis Erdur defends the provocative claim that postulating a stance-independent ground for morality constitutes a substantive moral mistake that is isomorphic to the substantive moral mistake that many realists attribute to antirealists. In this discussion paper I reconstruct Erdur’s argument and raise two objections to the general framework in which it arises. I close by explaining why rejecting Erdur’s approach doesn’t preclude normative criticism of metaethical theories.
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  27. What the Tortoise Said to Achilles: Lewis Carroll’s paradox in terms of Hilbert arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (22):1-32.
    Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared formal structure with (...)
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  28.  13
    Emergence Is an Isomorphy.Vincent Vesterby - manuscript
    Emergence is the coming into existence, as a consequence of the motion of matter, of a pattern-of-material-organization that was not there just previously. The occurrence of emergence is universal, occurring in all the subject matters of the sciences from physics to biology to cosmology. The basic form of emergence occurs in every case of emergence, but occurs in modified forms depending on what other factors are playing roles in each case. Emergence is isomorphic because the basic form occurs in (...)
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  29. Quantum-information conservation. The problem about “hidden variables”, or the “conservation of energy conservation” in quantum mechanics: A historical lesson for future discoveries.Vasil Penchev - 2020 - Energy Engineering (Energy) eJournal (Elsevier: SSRN) 3 (78):1-27.
    The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary particle, (...)
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  30. Natural Cybernetics and Mathematical History: The Principle of Least Choice in History.Vasil Penchev - 2020 - Cultural Anthropology (Elsevier: SSRN) 5 (23):1-44.
    The paper follows the track of a previous paper “Natural cybernetics of time” in relation to history in a research of the ways to be mathematized regardless of being a descriptive humanitarian science withal investigating unique events and thus rejecting any repeatability. The pathway of classical experimental science to be mathematized gradually and smoothly by more and more relevant mathematical models seems to be inapplicable. Anyway quantum mechanics suggests another pathway for mathematization; considering the historical reality as dual or “complimentary” (...)
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  31. The case of quantum mechanics mathematizing reality: the “superposition” of mathematically modelled and mathematical reality: Is there any room for gravity?Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (24):1-15.
    A case study of quantum mechanics is investigated in the framework of the philosophical opposition “mathematical model – reality”. All classical science obeys the postulate about the fundamental difference of model and reality, and thus distinguishing epistemology from ontology fundamentally. The theorems about the absence of hidden variables in quantum mechanics imply for it to be “complete” (versus Einstein’s opinion). That consistent completeness (unlike arithmetic to set theory in the foundations of mathematics in Gödel’s opinion) can be interpreted furthermore as (...)
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  32. What Is Quantum Information? Information Symmetry and Mechanical Motion.Vasil Penchev - 2020 - Information Theory and Research eJournal (Elsevier: SSRN) 1 (20):1-7.
    The concept of quantum information is introduced as both normed superposition of two orthogonal sub-spaces of the separable complex Hilbert space and in-variance of Hamilton and Lagrange representation of any mechanical system. The base is the isomorphism of the standard introduction and the representation of a qubit to a 3D unit ball, in which two points are chosen. The separable complex Hilbert space is considered as the free variable of quantum information and any point in it (a wave function describing (...)
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  33. Main Concepts in Philosophy of Quantum Information.Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (31):1-4.
    Quantum mechanics involves a generalized form of information, that of quantum information. It is the transfinite generalization of information and re-presentable by transfinite ordinals. The physical world being in the current of time shares the quality of “choice”. Thus quantum information can be seen as the universal substance of the world serving to describe uniformly future, past, and thus the present as the frontier of time. Future is represented as a coherent whole, present as a choice among infinitely many alternatives, (...)
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  34. Homo deceptus: How language creates its own reality.Bruce Bokor - manuscript
    Homo deceptus is a book that brings together new ideas on language, consciousness and physics into a comprehensive theory that unifies science and philosophy in a different kind of Theory of Everything. The subject of how we are to make sense of the world is addressed in a structured and ordered manner, which starts with a recognition that scientific truths are constructed within a linguistic framework. The author argues that an epistemic foundation of natural language must be understood before laying (...)
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  35. Collective Abstraction.Jon Erling Litland - 2022 - Philosophical Review 131 (4):453-497.
    This paper develops a novel theory of abstraction—what we call collective abstraction. The theory solves a notorious problem for noneliminative structuralism. The noneliminative structuralist holds that in addition to various isomorphic systems there is a pure structure that can be abstracted from each of these systems; but existing accounts of abstraction fail for nonrigid systems like the complex numbers. The problem with the existing accounts is that they attempt to define a unique abstraction operation. The theory of collective abstraction (...)
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  36. Continuous Lattices and Whiteheadian Theory of Space.Thomas Mormann - 1998 - Logic and Logical Philosophy 6:35 - 54.
    In this paper a solution of Whitehead’s problem is presented: Starting with a purely mereological system of regions a topological space is constructed such that the class of regions is isomorphic to the Boolean lattice of regular open sets of that space. This construction may be considered as a generalized completion in analogy to the well-known Dedekind completion of the rational numbers yielding the real numbers . The argument of the paper relies on the theories of continuous lattices and (...)
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  37. On Representing Information: A Characterization of the Analog/Digital Distinction.Aldo Frigerio, Alessandro Giordani & Luca Mari - 2013 - Dialectica 67 (4):455-483.
    The common account of the analog vs digital distinction is based on features of physical systems, being related to the usage of continuous vs discrete supports respectively. It is proposed here to alternatively characterize the concepts of analog and digital as related to coding systems, of which a formal definition is given, by suggesting that the distinction refers to the strategy adopted to define the coding function: extensional in digital systems, isomorphic intensional in analog systems. This thesis is supported (...)
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  38.  36
    Word frequency effects found in free recall are rather due to Bayesian surprise.Serban C. Musca & Anthony Chemero - 2022 - Frontiers in Psychology 13.
    The inconsistent relation between word frequency and free recall performance and the non-monotonic relation found between the two cannot all be explained by current theories. We propose a theoretical framework that can explain all extant results. Based on an ecological psychology analysis of the free recall situation in terms of environmental and informational resources available to the participants, we propose that because participants’ cognitive system has been shaped by their native language, free recall performance is best understood as the end (...)
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  39. Justice in Aristotle’s Household and City.Thornton C. Lockwood - 2003 - Polis 20 (1-2):1-21.
    In Nicomachean Ethics V.6 Aristotle contrasts political justice with household justice, paternal justice, and despotic justice. My paper expands upon Aristotle’s sometimes enigmatic remarks about political justice through an examination of his account of justice within the oikia or ‘household’. Understanding political justice requires explicating the concepts of freedom and equality, but for Aristotle, the children and wife within the household are free people even if not citizens, and there exists proportionate equality between a husband and wife. Additionally, Aristotle’s articulation (...)
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  40. Closing the Hole Argument.Hans Halvorson & John Byron Manchak - forthcoming - British Journal for the Philosophy of Science.
    The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. We show that the argument is seductive only because it mistakes a trivial claim (viz. there are isomorphic models) for a significant claim (viz. there are hole isomorphisms). We prove that the latter claim is false -- thereby closing the debate about whether substantivalism implies indeterminism.
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  41. What is The Reason to Use Clifford Algebra in Quantum Cognition? Part I: “It from Qubit” On The Possibility That the Amino Acids Can Discern Between Two Quantum Spin States.Elio Conte - 2012 - Neuroquantology 10 (3):561-565.
    Starting with 1985, we discovered the possible existence of electrons with net helicity in biomolecules as amino acids and their possibility to discern between the two quantum spin states. It is well known that the question of a possible fundamental role of quantum mechanics in biological matter constitutes still a long debate. In the last ten years we have given a rather complete quantum mechanical elaboration entirely based on Clifford algebra whose basic entities are isomorphic to the well known (...)
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  42. Musical Feelings And Atonal Music.Elina Packalén - 2005 - Postgraduate Journal of Aesthetics 2 (2):97-104.
    Several recent studies in many different fields have focused on the question of how music can be expressive of such emotions that only sentient beings can feel. In philosophy of music the adherents of cognitivist theories of expressivity (e.g. Davies 2003, Kivy 2002) try to solve this problem by explaining that we hear music as expressive of emotions, because we hear the events and contours of music as resembling the typical ways in which human beings express their emotions in behaviour (...)
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  43. Natural Topology.Frank Waaldijk - 2012 - Brouwer Society.
    We develop a simple framework called ‘natural topology’, which can serve as a theoretical and applicable basis for dealing with real-world phenomena.Natural topology is tailored to make pointwise and pointfree notions go together naturally. As a constructive theory in BISH, it gives a classical mathematician a faithful idea of important concepts and results in intuitionism. -/- Natural topology is well-suited for practical and computational purposes. We give several examples relevant for applied mathematics, such as the decision-support system Hawk-Eye, and various (...)
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  44. Thinking Globally, Acting Locally: Partiality, Preferences and Perspective.Graham Oddie - 2014 - Les ateliers de l'éthique/The Ethics Forum 9 (2):57-81.
    A rather promising value theory for environmental philosophers combines the well-known fitting attitude (FA) account of value with the rather less well-known account of value as richness. If the value of an entity is proportional to its degree of richness (which has been cashed out in terms of unified complexity and organic unity), then since natural entities, such as species or ecosystems, exhibit varying degrees of richness quite independently of what we happen to feel about them, they also possess differing (...)
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  45. On the history of the isomorphism problem of dynamical systems with special regard to von Neumann’s contribution.Miklos Redei & Charlotte Werndl - 2012 - Archive for History of Exact Sciences 66 (1):71-93.
    This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory. In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in 1941 by John von Neumann to Stanislaw Ulam, this paper clarifies von Neumann's contribution to discovering the relationship between spatial isomorphism and spectral isomorphism. The main message of the paper is that von Neumann's argument described in his letter to Ulam is the very first proof that (...)
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  46. Hempel’s Raven Revisited.Andrew Bollhagen - 2021 - Journal of Philosophy 118 (3):113-137.
    The paper takes a novel approach to a classic problem—Hempel’s Raven Paradox. A standard approach to it supposes the solution to consist in bringing our inductive logic into “reflective equilibrium” with our intuitive judgements about which inductive inferences we should license. This approach leaves the intuitions as a kind of black box and takes it on faith that, whatever the structure of the intuitions inside that box might be, it is one for which we can construct an isomorphic formal (...)
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  47. Categoricity by convention.Julien Murzi & Brett Topey - 2021 - Philosophical Studies 178 (10):3391-3420.
    On a widespread naturalist view, the meanings of mathematical terms are determined, and can only be determined, by the way we use mathematical language—in particular, by the basic mathematical principles we’re disposed to accept. But it’s mysterious how this can be so, since, as is well known, minimally strong first-order theories are non-categorical and so are compatible with countless non-isomorphic interpretations. As for second-order theories: though they typically enjoy categoricity results—for instance, Dedekind’s categoricity theorem for second-order PA and Zermelo’s (...)
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  48.  57
    Reasons for the Method in Descartes’ Discours.Patrick Brissey - 2021 - Journal of Early Modern Studies 10 (1):9-27.
    In the practical philosophy of the Discours de la Méthode, before the theoretical metaphysics of Part Four and the Meditationes, Descartes gives us an inductive argument that his method, the procedure and cognitive psychology, is veracious at its inception. His evidence, akin to his Scholastic predecessors, is God, a maximally perfect being, established an ontological foundation for knowledge such that reason and nature are isomorphic. Further, the method, he tells us, is a functional definition of human reason; that is, (...)
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  49. Review of: Hodesdon, K. “Mathematica representation: playing a role”. Philosophical Studies (2014) 168:769–782. Mathematical Reviews. MR 3176431.John Corcoran - 2015 - MATHEMATICAL REVIEWS 2015:3176431.
    This 4-page review-essay—which is entirely reportorial and philosophically neutral as are my other contributions to MATHEMATICAL REVIEWS—starts with a short introduction to the philosophy known as mathematical structuralism. The history of structuralism traces back to George Boole (1815–1864). By reference to a recent article various feature of structuralism are discussed with special attention to ambiguity and other terminological issues. The review-essay includes a description of the recent article. The article’s 4-sentence summary is quoted in full and then analyzed. The point (...)
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  50. Physical Geometry and Fundamental Metaphysics.Cian Dorr - 2011 - Proceedings of the Aristotelian Society 111 (1pt1):135-159.
    I explore some ways in which one might base an account of the fundamental metaphysics of geometry on the mathematical theory of Linear Structures recently developed by Tim Maudlin (2010). Having considered some of the challenges facing this approach, Idevelop an alternative approach, according to which the fundamental ontology includes concrete entities structurally isomorphic to functions from space-time points to real numbers.
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