Results for 'Classicization'

999 found
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  1. Meta-Classical Non-Classical Logics.Eduardo Alejandro Barrio, Camillo Fiore & Federico Pailos - forthcoming - Review of Symbolic Logic.
    Recently, it has been proposed to understand a logic as containing not only a validity canon for inferences but also a validity canon for metainferences of any finite level. Then, it has been shown that it is possible to construct infinite hierarchies of "increasingly classical" logics—that is, logics that are classical at the level of inferences and of increasingly higher metainferences—all of which admit a transparent truth predicate. In this paper, we extend this line of investigation by taking a somehow (...)
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  2. Liberating classical negation from falsity conditions.Damian Szmuc & Hitoshi Omori - 2022 - Proceedings of the 52nd International Symposium on Multiple-Valued Logic (ISMVL 2022).
    In one of their papers, Michael De and Hitoshi Omori observed that the notion of classical negation is not uniquely determined in the context of so-called Belnap-Dunn logic, and in fact there are 16 unary operations that qualify to be called classical negation. These varieties are due to different falsity conditions one may assume for classical negation. The aim of this paper is to observe that there is an interesting way to make sense of classical negation independent of falsity conditions. (...)
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  3. Bohmian Classical Limit in Bounded Regions.Davide Romano - 2016 - In Felline Laura & L. Felline A. Paoli F. Ledda E. Rossanese (eds.), New Directions in Logic and the Philosophy of Science (SILFS proceedings, vol. 3). College Publications. pp. 303-317.
    Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good candidate for recovering the classical limit of quantum theory. Indeed, in a Bohmian framework, the issue of the classical limit reduces to showing how classical trajectories can emerge from Bohmian ones, under specific classicality assumptions. In this paper, we shall focus on a technical problem that (...)
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  4. Against Classical Paraconsistent Metatheory.Koji Tanaka & Patrick Girard - 2023 - Analysis 83 (2):285-294.
    There was a time when 'logic' just meant classical logic. The climate is slowly changing and non-classical logic cannot be dismissed off-hand. However, a metatheory used to study the properties of non-classical logic is often classical. In this paper, we will argue that this practice of relying on classical metatheories is problematic. In particular, we will show that it is a bad practice because the metatheory that is used to study a non-classical logic often rules out the very logic it (...)
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  5. Classic Epistemology & Social Epistemology.Samal H. R. Manee - 2019 - sanandej: Madyar publishing house.
    This is a republication of 'Hegeby Zanin' in a second country for the use on international philosophy students and researchers in non English language, combines two epistemology books ; classic epistemology and social epistemology.
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  6. Dynamic Non-Classicality.Matthew Mandelkern - 2020 - Australasian Journal of Philosophy 98 (2):382-392.
    I show that standard dynamic approaches to the semantics of epistemic modals invalidate the classical laws of excluded middle and non-contradiction, as well as the law of epistemic non-contradiction. I argue that these facts pose a serious challenge.
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  7. Does Classical Liberalism Imply Democracy?David Ellerman - 2015 - Ethics and Global Politics 8 (1):29310.
    There is a fault line running through classical liberalism as to whether or not democratic self-governance is a necessary part of a liberal social order. The democratic and non-democratic strains of classical liberalism are both present today—particularly in America. Many contemporary libertarians and neo-Austrian economists represent the non-democratic strain in their promotion of non-democratic sovereign city-states (startup cities or charter cities). We will take the late James M. Buchanan as a representative of the democratic strain of classical liberalism. Since the (...)
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  8. Classical Logic Is Connexive.Camillo Fiore - 2024 - Australasian Journal of Logic (2):91-99.
    Connexive logics are based on two ideas: that no statement entails or is entailed by its own negation (this is Aristotle’s thesis) and that no statement entails both something and the negation of this very thing (this is Boethius' thesis). Usually, connexive logics are contra-classical. In this note, I introduce a reading of the connexive theses that makes them compatible with classical logic. According to this reading, the theses in question do not talk about validity alone; rather, they talk in (...)
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  9. Naturalism, classical theism, and first causes.Joseph C. Schmid - 2023 - Religious Studies 59:63-77.
    Enric F. Gel has recently argued that classical theism enjoys a significant advantage over Graham Oppy's naturalism. According to Gel, classical theism – unlike Oppy's naturalism – satisfactorily answers two questions: first, how many first causes are there, and second, why is it that number rather than another? In this article, I reply to Gel's argument for classical theism's advantage over Oppy's naturalism. I also draw out wider implications of my investigation for the gap problem and Christian doctrine along the (...)
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  10. Classical Theists are Committed to the Palamite Distinction Between God’s Essence and Energies.James Dominic Rooney - 2023 - In Robert C. Koons & Jonathan Fuqua (eds.), Classical Theism: New Essays on the Metaphysics of God. Routledge. pp. 318-338.
    A distinction attributed to Gregory Palamas involves claiming that God’s essence and energies/activities are distinct, yet equally ‘uncreated.’ Traditionally, this Palamite distinction was attacked by some Latin theologians as compromising divine simplicity. A classical view holds that no properties really inhere in God, because God enters into no composition of any kind, including composition of substance and accident. God’s energies/activities seem like properties inhering in God or otherwise composing some kind of part of God. I will argue that, contrary to (...)
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  11. Primitive Ontology and the Classical World.Valia Allori - 2016 - In R. Kastner, J. Jeknic-Dugic & G. Jaroszkiewicz (eds.), Quantum Structural Studies: Classical Emergence from the Quantum Level. World Scientific. pp. 175-199.
    In this paper I present the common structure of quantum theories with a primitive ontology, and discuss in what sense the classical world emerges from quantum theories as understood in this framework. In addition, I argue that the primitive ontology approach is better at answering this question than the rival wave function ontology approach or any other approach in which the classical world is nonreductively ‘emergent:’ even if the classical limit within this framework needs to be fully developed, the difficulties (...)
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  12. Classical Thought in Newton's General Scholium.Karin Verelst - forthcoming - In Stephen Snobelen, Scott Mandelbrote & Stephen Ducheyne (eds.), Isaac Newton's General Scholium: science, religion, metaphysics.
    Isaac Newton, in popular imagination the Ur-scientist, was an outstanding humanist scholar. His researches on, among others, ancient philosophy, are thorough and appear to be connected to and fit within his larger philosophical and theological agenda. It is therefore relevant to take a closer look at Newton’s intellectual choices, at how and why precisely he would occupy himself with specific text-sources, and how this interest fits into the larger picture of his scientific and intellectual endeavours. In what follows, we shall (...)
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  13. Classical Form or Modern Scientific Rationalization? Nietzsche on the Drive to Ordered Thought as Apollonian Power and Socratic Pathology.Eli I. Lichtenstein - 2021 - Journal of Nietzsche Studies 52 (1):105-134.
    Nietzsche sometimes praises the drive to order—to simplify, organize, and draw clear boundaries—as expressive of a vital "classical" style, or an Apollonian artistic drive to calmly contemplate forms displaying "epic definiteness and clarity." But he also sometimes harshly criticizes order, as in the pathological dialectics or "logical schematism" that he associates paradigmatically with Socrates. I challenge a tradition that interprets Socratism as an especially one-sided expression of, or restricted form of attention to, the Apollonian: they are more radically disparate. Beyond (...)
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  14. Classical indeterminacy.Robert Williams - manuscript
    This is an old draft of a paper that seeks to find the minimum cognitive/practical role for indeterminacy that we get if we assume a fully classical logic and semantics, but reject epistemicism. The ambition is to connect that classical setting to the framework for rational belief and decision I described in "Decision Making under Indeterminacy".
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  15. Has classical gene position been practically reduced?Oriol Vidal & David Teira - 2020 - Biology and Philosophy 35 (5):1-20.
    One of the defining features of the classical gene was its position. In molecular genetics, positions are defined instead as nucleotide numbers and there is no clear correspondence with its classical counterpart. However, the classical gene position did not simply disappear with the development of the molecular approach, but survived in the lab associated to different genetic practices. The survival of classical gene position would illustrate Waters’ view about the practical persistence of the genetic approach beyond reductionism and anti-reductionist claims. (...)
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  16. Classicality Lost: K3 and LP after the Fall.Matthias Jenny - 2016 - Thought: A Journal of Philosophy 6 (1):43-53.
    It is commonly held that the ascription of truth to a sentence is intersubstitutable with that very sentence. However, the simplest subclassical logics available to proponents of this view, namely K3 and LP, are hopelessly weak for many purposes. In this article, I argue that this is much more of a problem for proponents of LP than for proponents of K3. The strategies for recapturing classicality offered by proponents of LP are far less promising than those available to proponents of (...)
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  17. Classical AI linguistic understanding and the insoluble Cartesian problem.Rodrigo González - 2020 - AI and Society 35 (2):441-450.
    This paper examines an insoluble Cartesian problem for classical AI, namely, how linguistic understanding involves knowledge and awareness of u’s meaning, a cognitive process that is irreducible to algorithms. As analyzed, Descartes’ view about reason and intelligence has paradoxically encouraged certain classical AI researchers to suppose that linguistic understanding suffices for machine intelligence. Several advocates of the Turing Test, for example, assume that linguistic understanding only comprises computational processes which can be recursively decomposed into algorithmic mechanisms. Against this background, in (...)
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  18. Recapture Results and Classical Logic.Camillo Fiore & Lucas Rosenblatt - 2023 - Mind 132 (527):762–788.
    An old and well-known objection to non-classical logics is that they are too weak; in particular, they cannot prove a number of important mathematical results. A promising strategy to deal with this objection consists in proving so-called recapture results. Roughly, these results show that classical logic can be used in mathematics and other unproblematic contexts. However, the strategy faces some potential problems. First, typical recapture results are formulated in a purely logical language, and do not generalize nicely to languages containing (...)
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  19. Non‐Classical Knowledge.Ethan Jerzak - 2017 - Philosophy and Phenomenological Research 98 (1):190-220.
    The Knower paradox purports to place surprising a priori limitations on what we can know. According to orthodoxy, it shows that we need to abandon one of three plausible and widely-held ideas: that knowledge is factive, that we can know that knowledge is factive, and that we can use logical/mathematical reasoning to extend our knowledge via very weak single-premise closure principles. I argue that classical logic, not any of these epistemic principles, is the culprit. I develop a consistent theory validating (...)
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  20. Languages, machines, and classical computation.Luis M. Augusto - 2021 - London, UK: College Publications.
    3rd ed, 2021. A circumscription of the classical theory of computation building up from the Chomsky hierarchy. With the usual topics in formal language and automata theory.
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  21. Decoherence and the classical limit of quantum mechanics.Valia Allori - 2002 - Dissertation, University of Genova, Italy
    In my dissertation (Rutgers, 2007) I developed the proposal that one can establish that material quantum objects behave classically just in case there is a “local plane wave” regime, which naturally corresponds to the suppression of all quantum interference.
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  22. Both Classical & Quantum Information; Both Bit & Qubit: Both Physical & Transcendental Time.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (22):1-24.
    Information can be considered as the most fundamental, philosophical, physical and mathematical concept originating from the totality by means of physical and mathematical transcendentalism (the counterpart of philosophical transcendentalism). Classical and quantum information, particularly by their units, bit and qubit, correspond and unify the finite and infinite. As classical information is relevant to finite series and sets, as quantum information, to infinite ones. A fundamental joint relativity of the finite and infinite, of the external and internal is to be investigated. (...)
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  23. Classical versus Bayesian Statistics.Eric Johannesson - 2020 - Philosophy of Science 87 (2):302-318.
    In statistics, there are two main paradigms: classical and Bayesian statistics. The purpose of this article is to investigate the extent to which classicists and Bayesians can agree. My conclusion is that, in certain situations, they cannot. The upshot is that, if we assume that the classicist is not allowed to have a higher degree of belief in a null hypothesis after he has rejected it than before, then he has to either have trivial or incoherent credences to begin with (...)
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  24. The Reception of Classical Persian Poetry in Anglophone World: Problems and Solutions.Adineh Khojastehpour & Mirzababazadeh Behnam - 2014 - SOCRATES 2 (1):39-49.
    The impact of Persian literature on world culture and literature is undeniable. Persian poets such as Firdowsi, Sa’di, Hafiz, Rumi and Khayyam who deal with universal themes beyond a particular place and time are among the most widely-known literary figures of the world; their works are translated into different languages. Despite the fact that there are different translations of Persian literature in English, it is still not clear whether Persian literature has gained its appropriate place in the world. We study (...)
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  25. Classical Pragmatism and Metaphysics: James and Peirce on Scientific Determinism.Donata Romizi - 2017 - In Sami Pihlström, Friedrich Stadler & Niels Weidtmann (eds.), Logical Empiricism and Pragmatism. Cham: Springer Verlag. pp. 43-66.
    The present paper has two main aims. The first one is philosophical and is related to the general topic of this volume (Logical Empiricism and Pragmatism): I would like to draw attention to the fact that the issue of classical scientific determinism, despite being ‘metaphysical’ and thereby ‘nonsensical’ according to the Vienna Circle's ‘scientific world conception’, bothered philosophers, like William James and Charles Peirce, who were deeply involved in scientific practice. At the end of the paper I shall raise the (...)
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  26. On Classical Motion.C. D. McCoy - 2018 - Philosophers' Imprint 18.
    The impetus theory of motion states that to be in motion is to have a non-zero velocity. The at-at theory of motion states that to be in motion is to be at different places at different times, which in classical physics is naturally understood as the reduction of velocities to position developments. I first defend the at-at theory against the criticism raised by Arntzenius that it renders determinism impossible. I then develop a novel impetus theory of motion that reduces positions (...)
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  27. Non-classical Metatheory for Non-classical Logics.Andrew Bacon - 2013 - Journal of Philosophical Logic 42 (2):335-355.
    A number of authors have objected to the application of non-classical logic to problems in philosophy on the basis that these non-classical logics are usually characterised by a classical metatheory. In many cases the problem amounts to more than just a discrepancy; the very phenomena responsible for non-classicality occur in the field of semantics as much as they do elsewhere. The phenomena of higher order vagueness and the revenge liar are just two such examples. The aim of this paper is (...)
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  28. Classical Theism, Arbitrary Creation, and Reason-Based Action.Joseph C. Schmid - 2022 - Sophia 61 (3):565-579.
    Surely God, as a perfectly rational being, created the universe for some _reason_. But is God’s creating the universe for a reason compatible with divine impassibility? That is the question I investigate in this article. The _prima facie_ tension between impassibility and God’s creating for a reason arises from impassibility’s commitment to God being uninfluenced by anything _ad extra_. If God is uninfluenced in this way, asks the detractor, how could he be moved to create anything at all? This _prima (...)
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  29. Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real?Nicolas Gisin - 2019 - Erkenntnis 86 (6):1469-1481.
    It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can’t contain more than a finite amount of information, hence that the mathematical real numbers are not physically relevant. Moreover, a better terminology for the so-called real numbers is “random numbers”, as their series of bits are truly random. I propose an alternative classical mechanics, which is (...)
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  30. Reconsidering Classical Indian Thoughts.Desh Raj Sirswal (ed.) - 2011 - Centre for Positive Philosophy and Interdisciplinary Studies (CPPIS), Pehowa (Kurukshetra).
    Recent years have seen the beginning of a radical reassessment of the philosophical literature of ancient and classical India. The analytical techniques of contemporary philosophy are being deployed towards a fresh and original interpretation of the texts. This rational rather than mystical approach towards Indian philosophical theories has resulted in a need to work which explains afresh its central methods, courses and devices. It is with this spirit of thought and background that I want to publish a book to discuss (...)
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  31. Classic Psychedelics in Translational Research: Addressing Epistemic Challenges from Bench to Bedside.Jaipreet Mattu & Jacqueline Anne Sullivan - forthcoming - In Chris Letheby & Philip Gerrans (eds.), Philosophical Perspectives on Psychedelic Psychiatry. Oxford University Press.
    In the last decade alone, a growing body of preliminary evidence suggests that classic psychedelics (CPs) can rapidly and durably ameliorate symptoms and cognitive deficits associated with depression. However, the mechanisms by which CPs work in the brain are not well understood. Rodent translational research, in which experimental findings from rodents are translated to humans, is fundamental in achieving this goal. This chapter focuses on a representative subset of human and rodent studies investigating CPs for depression, including the various lines (...)
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  32. Seven military classics : martial victory through good governance.Yvonne Chiu - 2024 - In Sumner B. Twiss, Bingxiang Luo & Benedict S. B. Chan (eds.), Warfare ethics in comparative perspective: China and the West. New York, NY: Routledge, Taylor & Francis Group. pp. 91-112.
    Contemporary international law separates the international justice of war from the domestic justice of society, but empirically, there is a correlation between democratic governance and military effectiveness, which could have a number of causes. A contemporary reconstruction from _The Seven Military Classics_ of Chinese military philosophy offers potential lessons for how domestic virtues may yield military and geopolitical victory. This chapter reconstructs arguments from the seven treatises into a collective an amalgamated conception of “good governance” that weaves together military strategy (...)
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  33. Weakly Classical Theories of Identity.Joshua Schechter - 2011 - Review of Symbolic Logic 4 (4):607-644.
    There are well-known quasi-formal arguments that identity is a "strict" relation in at least the following three senses: (1) There is a single identity relation and a single distinctness relation; (2) There are no contingent cases of identity or distinctness; and (3) There are no vague or indeterminate cases of identity or distinctness. However, the situation is less clear cut than it at first may appear. There is a natural formal theory of identity that is very close to the standard (...)
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  34. Gauge Invariance for Classical Massless Particles with Spin.Jacob A. Barandes - 2021 - Foundations of Physics 51 (1):1-14.
    Wigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also derive a classical-particle (...)
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  35. Beyond the classic receptive field: the effect of contextual stimuli.Lothar Spillmann, Birgitta Dresp-Langley & Chia-Huei Tseng - 2015 - Journal of Vision 15:1-22.
    Following the pioneering studies of the receptive field (RF), the concept gained further significance for visual perception by the discovery of input effects from beyond the classical RF. These studies demonstrated that neuronal responses could be modulated by stimuli outside their RFs, consistent with the perception of induced brightness, color, orientation, and motion. Lesion scotomata are similarly modulated perceptually from the surround by RFs that have migrated from the interior to the outer edge of the scotoma and in this way (...)
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  36. Reclaiming Democratic Classical Liberalism.David Ellerman - 2020 - In Reclaiming Liberalism. New York, NY, USA: pp. 1-39.
    Classical liberalism is skeptical about governmental organizations "doing good" for people. Instead governments should create the conditions so that people individually (Adam Smith) and in associations (Tocqueville) are empowered to do good for themselves. The market implications of classical liberalism are well-known, but the implications for organizations are controversial. We will take James Buchanan as our guide (with assists from Mill and Dewey). Unpacking the implications of classical liberalism for the "science of associations" (Tocqueville) requires a tour through the intellectual (...)
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  37. A Myth resurgent: classical foundationalism and the new Sellarsian critique.Jeremy Randel Koons - 2017 - Synthese 194 (10):4155-4169.
    One important strand of Sellars’s attack on classical foundationalism from Empiricism and the Philosophy of Mind is his thesis about the priority of is-talk over looks-talk. This thesis has been criticized extensively in recent years, and classical foundationalism has found several contemporary defenders. I revisit Sellars’s thesis and argue that is-talk is epistemically prior to looks-talk in a way that undermines classical foundationalism. The classical foundationalist claims that epistemic foundations are constituted by the agent’s set of looks-judgments. However, I argue (...)
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  38. A Classical Logic of Existence and Essence.Sergio Galvan & Alessandro Giordani - 2020 - Logic and Logical Philosophy 29 (4):541-570.
    The purpose of this paper is to provide a new system of logic for existence and essence, in which the traditional distinctions between essential and accidental properties, abstract and concrete objects, and actually existent and possibly existent objects are described and related in a suitable way. In order to accomplish this task, a primitive relation of essential identity between different objects is introduced and connected to a first order existence property and a first order abstractness property. The basic idea is (...)
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  39. General Classical Electrodynamics.Koenraad Johan van Vlaenderen - 2016 - Universal Journal of Physics and Application 10 (4):128-140.
    Maxwell’s Classical Electrodynamics (MCED) suffers several inconsistencies: (1) the Lorentz force law of MCED violates Newton’s Third Law of Motion (N3LM) in case of stationary and divergent or convergent current distributions; (2) the general Jefimenko electric field solution of MCED shows two longitudinal far fields that are not waves; (3) the ratio of the electrodynamic energy-momentum of a charged sphere in uniform motion has an incorrect factor of 4/3. A consistent General Classical Electrodynamics (GCED) is presented that is based on (...)
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  40. Towards Knowing Ourselves: Classical Yoga Perspective.Marzenna Jakubczak - 2004 - Journal of Human Values 10 (2):111-116.
    Self-knowledge, at first glance, seems to be naturally and easily accessible to each of us. We commonly believe that we need much less effort to understand ourselves than to understand the world. The authoress of the paper uncovers the fallacy of this popular view referring to the fundamental conceptions and philosophical ideas of the classical Yoga. She tries to demystify our deceptive self-understanding explaining the definitions of ignorance (avidya), I-am-ness (asmita), desire (raga), aversion (dvesha) and fear of death (abhinivesha) given (...)
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  41. Maxwell's Paradox: The Metaphysics of Classical Electrodynamics and its Time Reversal Invariance.Valia Allori - 2015 - Analytica: an electronic, open-access journal for philosophy of science 1:1-19.
    In this paper, I argue that the recent discussion on the time - reversal invariance of classical electrodynamics (see (Albert 2000: ch.1), (Arntzenius 2004), (Earman 2002), (Malament 2004),(Horwich 1987: ch.3)) can be best understood assuming that the disagreement among the various authors is actually a disagreement about the metaphysics of classical electrodynamics. If so, the controversy will not be resolved until we have established which alternative is the most natural. It turns out that we have a paradox, namely that the (...)
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  42. Classical Opacity.Michael Caie, Jeremy Goodman & Harvey Lederman - 2019 - Philosophy and Phenomenological Research 101 (3):524-566.
    Philosophy and Phenomenological Research, EarlyView.
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  43. Classical and revisionary theism on the divine as personal: a rapprochement?Elizabeth Burns - 2015 - International Journal for Philosophy of Religion 78 (2):151-165.
    To claim that the divine is a person or personal is, according to Swinburne, ‘the most elementary claim of theism’. I argue that, whether the classical theist’s concept of the divine as a person or personal is construed as an analogy or a metaphor, or a combination of the two, analysis necessitates qualification of that concept such that any differences between the classical theist’s concept of the divine as a person or personal and revisionary interpretations of that concept are merely (...)
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  44. Is Classical Mathematics Appropriate for Theory of Computation?Farzad Didehvar - manuscript
    Throughout this paper, we are trying to show how and why our Mathematical frame-work seems inappropriate to solve problems in Theory of Computation. More exactly, the concept of turning back in time in paradoxes causes inconsistency in modeling of the concept of Time in some semantic situations. As we see in the first chapter, by introducing a version of “Unexpected Hanging Paradox”,first we attempt to open a new explanation for some paradoxes. In the second step, by applying this paradox, it (...)
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  45. Classical Foundationalism and Bergmann’s Dilemma for Internalism.Ali Hasan - 2011 - Journal of Philosophical Research 36:391-410.
    In Justification without Awareness (2006), Michael Bergmann presents a dilemma for internalism from which he claims there is “no escape”: The awareness allegedly required for justification is either strong awareness, which involves conceiving of some justification-contributor as relevant to the truth of a belief, or weak awareness, which does not. Bergmann argues that the former leads to an infinite regress of justifiers, while the latter conflicts with the “clearest and most compelling” motivation for endorsing internalism, namely, that for a belief (...)
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  46. From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations.Mark Burgin & Gordana Dodig-Crnkovic - 2013 - In Gordana Dodig-Crnkovic Raffaela Giovagnoli (ed.), Computing Nature. pp. 241--253.
    In this paper we analyze methodological and philosophical implications of algorithmic aspects of unconventional computation. At first, we describe how the classical algorithmic universe developed and analyze why it became closed in the conventional approach to computation. Then we explain how new models of algorithms turned the classical closed algorithmic universe into the open world of algorithmic constellations, allowing higher flexibility and expressive power, supporting constructivism and creativity in mathematical modeling. As Goedels undecidability theorems demonstrate, the closed algorithmic universe restricts (...)
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  47. Manifestly Covariant Lagrangians, Classical Particles with Spin, and the Origins of Gauge Invariance.Jacob Barandes - manuscript
    In this paper, we review a general technique for converting the standard Lagrangian description of a classical system into a formulation that puts time on an equal footing with the system's degrees of freedom. We show how the resulting framework anticipates key features of special relativity, including the signature of the Minkowski metric tensor and the special role played by theories that are invariant under a generalized notion of Lorentz transformations. We then use this technique to revisit a classification of (...)
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  48. A Hierarchy of Classical and Paraconsistent Logics.Eduardo Alejandro Barrio, Federico Pailos & Damian Szmuc - 2020 - Journal of Philosophical Logic 49 (1):93-120.
    In this article, we will present a number of technical results concerning Classical Logic, ST and related systems. Our main contribution consists in offering a novel identity criterion for logics in general and, therefore, for Classical Logic. In particular, we will firstly generalize the ST phenomenon, thereby obtaining a recursively defined hierarchy of strict-tolerant systems. Secondly, we will prove that the logics in this hierarchy are progressively more classical, although not entirely classical. We will claim that a logic is to (...)
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  49. Conservatively extending classical logic with transparent truth.David Ripley - 2012 - Review of Symbolic Logic 5 (2):354-378.
    This paper shows how to conservatively extend classical logic with a transparent truth predicate, in the face of the paradoxes that arise as a consequence. All classical inferences are preserved, and indeed extended to the full (truth—involving) vocabulary. However, not all classical metainferences are preserved; in particular, the resulting logical system is nontransitive. Some limits on this nontransitivity are adumbrated, and two proof systems are presented and shown to be sound and complete. (One proof system allows for Cut—elimination, but the (...)
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  50. Classical Electrodynamics in agreement with Newton’s third law of motion.Koenraad Johan van Vlaenderen - manuscript
    The force law of Maxwell’s classical electrodynamics does not agree with Newton’s third law of motion (N3LM), in case of open circuit magnetostatics. Initially, a generalized magnetostatics theory is presented that includes two additional physical fields B_Φ and B_l, defined by scalar functions. The scalar magnetic field B_l mediates a longitudinal Ampère force that balances the transverse Ampère force (aka the magnetic field force), such that the sum of the two forces agrees with N3LM for all stationary current distributions. Secondary (...)
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