Results for 'Kochen-Specker'

22 found
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  1.  84
    The Kochen - Specker theorem in quantum mechanics: a philosophical comment (part 2).Vasil Penchev - 2013 - Philosophical Alternatives 22 (3):74-83.
    The text is a continuation of the article of the same name published in the previous issue of Philosophical Alternatives. The philosophical interpretations of the Kochen- Specker theorem (1967) are considered. Einstein's principle regarding the,consubstantiality of inertia and gravity" (1918) allows of a parallel between descriptions of a physical micro-entity in relation to the macro-apparatus on the one hand, and of physical macro-entities in relation to the astronomical mega-entities on the other. The Bohmian interpretation ( 1952) of quantum (...)
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  2. The Kochen - Specker theorem in quantum mechanics: a philosophical comment (part 1).Vasil Penchev - 2013 - Philosophical Alternatives 22 (1):67-77.
    Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – KochenSpecker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing (...)
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  3.  69
    Fermat’s last theorem proved in Hilbert arithmetic. II. Its proof in Hilbert arithmetic by the Kochen-Specker theorem with or without induction.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (10):1-52.
    The paper is a continuation of another paper published as Part I. Now, the case of “n=3” is inferred as a corollary from the Kochen and Specker theorem (1967): the eventual solutions of Fermat’s equation for “n=3” would correspond to an admissible disjunctive division of qubit into two absolutely independent parts therefore versus the contextuality of any qubit, implied by the KochenSpecker theorem. Incommensurability (implied by the absence of hidden variables) is considered as dual (...)
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  4. Modelling Deep Indeterminacy.George Darby & Martin Pickup - 2021 - Synthese 198:1685–1710.
    This paper constructs a model of metaphysical indeterminacy that can accommodate a kind of ‘deep’ worldly indeterminacy that arguably arises in quantum mechanics via the Kochen-Specker theorem, and that is incompatible with prominent theories of metaphysical indeterminacy such as that in Barnes and Williams (2011). We construct a variant of Barnes and Williams's theory that avoids this problem. Our version builds on situation semantics and uses incomplete, local situations rather than possible worlds to build a model. We evaluate (...)
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  5. A Class of Examples Demonstrating That 'P ≠ NP' in the 'P Vs NP' Problem.Vasil Penchev - 2020 - Computing Methodology eJournal (Elsevier: SSRN) 3 (19):1-19.
    The CMI Millennium “P vs NP Problem” can be resolved e.g. if one shows at least one counterexample to the "P = NP" conjecture. A certain class of problems being such counterexamples will be formulated. This implies the rejection of the hypothesis that "P = NP" for any conditions satisfying the formulation of the problem. Thus, the solution "P is different from NP" of the problem in general is proved. The class of counterexamples can be interpreted as any quantum superposition (...)
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  6. The Indeterminist Objectivity of Quantum Mechanics Versus the Determinist Subjectivity of Classical Physics.Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (18):1-5.
    Indeterminism of quantum mechanics is considered as an immediate corollary from the theorems about absence of hidden variables in it, and first of all, the KochenSpecker theorem. The base postulate of quantum mechanics formulated by Niels Bohr that it studies the system of an investigated microscopic quantum entity and the macroscopic apparatus described by the smooth equations of classical mechanics by the readings of the latter implies as a necessary condition of quantum mechanics the absence of (...)
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  7. Fermat’s last theorem proved in Hilbert arithmetic. III. The quantum-information unification of Fermat’s last theorem and Gleason’s theorem.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (12):1-30.
    The previous two parts of the paper demonstrate that the interpretation of Fermat’s last theorem (FLT) in Hilbert arithmetic meant both in a narrow sense and in a wide sense can suggest a proof by induction in Part I and by means of the Kochen - Specker theorem in Part II. The same interpretation can serve also for a proof FLT based on Gleason’s theorem and partly similar to that in Part II. The concept of (probabilistic) measure of (...)
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  8.  81
    Fermat’s last theorem proved in Hilbert arithmetic. I. From the proof by induction to the viewpoint of Hilbert arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (7):1-57.
    In a previous paper, an elementary and thoroughly arithmetical proof of Fermat’s last theorem by induction has been demonstrated if the case for “n = 3” is granted as proved only arithmetically (which is a fact a long time ago), furthermore in a way accessible to Fermat himself though without being absolutely and precisely correct. The present paper elucidates the contemporary mathematical background, from which an inductive proof of FLT can be inferred since its proof for the case for “n (...)
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  9. Subjective probability and quantum certainty.Carlton M. Caves, Christopher A. Fuchs & Rüdiger Schack - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):255-274.
    In the Bayesian approach to quantum mechanics, probabilities—and thus quantum states—represent an agent’s degrees of belief, rather than corresponding to objective properties of physical systems. In this paper we investigate the concept of certainty in quantum mechanics. Particularly, we show how the probability-1 predictions derived from pure quantum states highlight a fundamental difference between our Bayesian approach, on the one hand, and Copenhagen and similar interpretations on the other. We first review the main arguments for the general claim that probabilities (...)
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  10.  48
    Contextuality and Indistinguishability.Acacio de Barros, Federico Holik & Décio Krause - 2017 - Entropy 19 ((9)):435.
    It is well known that in quantum mechanics we cannot always define consistently properties that are context independent. Many approaches exist to describe contextual properties, such as Contextuality by Default, sheaf theory, topos theory, and non-standard or signed probabilities. In this paper we propose a treatment of contextual properties that is specific to quantum mechanics, as it relies on the relationship between contextuality and indistinguishability. In particular, we propose that if we assume the ontological thesis that quantum particles or properties (...)
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  11. Nishida Kitarō’s Kōiteki Chokkan: Active Intuition and Contemporary Metaethics.Laura Specker Sullivan - forthcoming - In Colin Marshall (ed.), Comparative Metaethics: Neglected Perspectives on the Foundations of Morality. Routledge.
    I characterize Nishida Kitarō’s metaethical perspective throughout his work but focus especially on his later papers, most notably his writings on kōiteki chokkan, or active intuition. These include Kōiteki Chokkan no Tachiba (published in 1935), Kōiteki Chokkan (published in 1937), as well as Nothingness and the Religious Worldview (Bashoteki Ronri to Shūkyōteki Sekaikan, published in 1945, and widely available in translation). I explore affinities between Nishida’s approach to ethics and metaethical intuitionism and sensibility theory. I then use this analysis to (...)
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  12. Digital Wellness and Persuasive Technologies.Laura Specker Sullivan & Peter Reiner - 2021 - Philosophy and Technology 34 (3):413-424.
    The development of personal technologies has recently shifted from devices that seek to capture user attention to those that aim to improve user well-being. Digital wellness technologies use the same attractive qualities of other persuasive apps to motivate users towards behaviors that are personally and socially valuable, such as exercise, wealth-management, and meaningful communication. While these aims are certainly an improvement over the market-driven motivations of earlier technologies, they retain their predecessors’ focus on influencing user behavior as a primary metric (...)
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  13. More than consent for ethical open-label placebo research.Laura Specker Sullivan - 2021 - Journal of Medical Ethics 47 (12):e7-e7.
    Recent studies have explored the effectiveness of open-label placebos for a variety of conditions, including chronic pain, cancer-related fatigue and irritable bowel syndrome. OLPs are thought to sidestep traditional ethical worries about placebos because they do not involve deception: with an OLP, patients or subjects are told outright that they are not given an active substance. As deception is framed as the primary hurdle to ethical placebo use, the door is ostensibly opened to ethical studies of OLPs. In this article, (...)
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  14. Medical maternalism: beyond paternalism and antipaternalism.Laura Specker Sullivan - 2016 - Journal of Medical Ethics 42 (7):439-444.
    This paper argues that the concept of paternalism is currently overextended to include a variety of actions that, while resembling paternalistic actions, are importantly different. I use the example of Japanese physicians’ non-disclosures of cancer diagnoses directly to patients, arguing that the concept of maternalism better captures these actions. To act paternalistically is to substitute one's own judgement for that of another person and decide in place of that person for his/her best interest. By contrast, to act maternalistically is to (...)
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  15. The Axiom of choice in Quine's New Foundations for Mathematical Logic.Ernst P. Specker - 1954 - Journal of Symbolic Logic 19 (2):127-128.
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  16. Trust, Risk, and Race in American Medicine.Laura Specker Sullivan - 2020 - Hastings Center Report 50 (1):18-26.
    Trust is a core feature of the physician-patient relationship, and risk is central to trust. Patients take risks when they trust their providers to care for them effectively and appropriately. Not all patients take these risks: some medical relationships are marked by mistrust and suspicion. Empirical evidence suggests that some patients and families of color in the United States may be more likely to mistrust their providers and to be suspicious of specific medical practices and institutions. Given both historical and (...)
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  17.  32
    Insight and the no‐self in deep brain stimulation.Laura Specker Sullivan - 2019 - Bioethics 33 (4):487-494.
    Ethical analyses of the effects of neural interventions commonly focus on changes to personality and behavior, interpreting these changes in terms of authenticity and identity. These phenomena have led to debate among ethicists about the meaning of these terms for ethical analysis of such interventions. While these theoretical approaches have different criteria for ethical significance, they agree that patients’ reports are concerning because a sense of self is valuable. In this paper, I question this assumption. I propose that the Buddhist (...)
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  18.  53
    Motivated Reasoning and Research Ethics Guidelines.Laura Specker Sullivan - 2022 - Journal of Applied Philosophy 39 (3):519-535.
    The creation of guidelines has long been a popular means of conveying normative requirements in scientific and medical research. The recent case of He Jiankui, whose research flouted both widely accepted ethical standards and a set of field-specific guidelines he co-authored, raises the question of whether guidelines are an effective means of preventing misconduct. This paper advances the theory that guidelines can facilitate moral rationalization, a form of motivated reasoning. Moral rationalization in research occurs when individuals justify their actions with (...)
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  19. Uncovering Metaethical Assumptions in Bioethical Discourse across Cultures.Laura Specker Sullivan - 2016 - Kennedy Institute of Ethics Journal 26 (1):47-78.
    Bioethics seeks to answer questions and resolve problems that change along with developments in medicine and biology. Ethical justification plays a crucial role in bioethical analysis by clarifying the reasons that support complex judgments about particular actions and general policies.1 It helps bioethicists to determine what to allow, forbid, support, and minimize. When there is disagreement, it can also aid understanding of competing positions. However, at times, disagreement on particular issues becomes so entrenched that understanding seems impossible. In such circumstances, (...)
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  20. Free Will in a Quantum World?Valia Allori - 2019 - In J. De Barros & Carlos Montemayor (eds.), Quanta and Mind: Essays on the Connection between Quantum Mechanics and the Consciousness. Synthese Library.
    In this paper, I argue that Conway and Kochen’s Free Will Theorem (1,2) to the conclusion that quantum mechanics and relativity entail freedom for the particles, does not change the situation in favor of a libertarian position as they would like. In fact, the theorem more or less implicitly assumes that people are free, and thus it begs the question. Moreover, it does not prove neither that if people are free, so are particles, nor that the property people possess (...)
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  21. Free Will in Human Behavior and Physics.Vasil Penchev - 2020 - Labor and Social Relations 30 (6):185-196.
    If the concept of “free will” is reduced to that of “choice” all physical world shares the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly a certain goal, and the choice is only the mean, by which the aim can be achieved or not by the one who determines the target. Thus, for example, an electron has always a choice but not free will unlike a human possessing both. Consequently, and paradoxically, (...)
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  22.  79
    From the 'Free Will Theorems' to the 'Choice Ontology' of Quantum Mechanics.Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (33):1-10.
    If the concept of “free will” is reduced to that of “choice” all physical world share the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly certain preliminary goal, and the choice is only the mean, by which it can be achieved or not by the one who determines the goal. Thus, for example, an electron has always a choice but not free will unlike a human possessing both. Consequently, and paradoxically, the (...)
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