Results for 'probability operators'

998 found
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  1. Deontic Modals and Probability: One Theory to Rule Them All?Fabrizio Cariani - forthcoming - In Nate Charlow & Matthew Chrisman (eds.), Deontic Modality. Oxford University Press.
    This paper motivates and develops a novel semantic framework for deontic modals. The framework is designed to shed light on two things: the relationship between deontic modals and substantive theories of practical rationality and the interaction of deontic modals with conditionals, epistemic modals and probability operators. I argue that, in order to model inferential connections between deontic modals and probability operators, we need more structure than is provided by classical intensional theories. In particular, we need probabilistic (...)
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  2. Probability Modals and Infinite Domains.Adam Marushak - 2020 - Journal of Philosophical Logic 49 (5):1041-1055.
    Recent years have witnessed a proliferation of attempts to apply the mathematical theory of probability to the semantics of natural language probability talk. These sorts of “probabilistic” semantics are often motivated by their ability to explain intuitions about inferences involving “likely” and “probably”—intuitions that Angelika Kratzer’s canonical semantics fails to accommodate through a semantics based solely on an ordering of worlds and a qualitative ranking of propositions. However, recent work by Wesley Holliday and Thomas Icard has been widely (...)
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  3. Probabilities of conditionals: Updating Adams.Ivano Ciardelli & Adrian Ommundsen - 2024 - Noûs 58 (1):26-53.
    The problem of probabilities of conditionals is one of the long-standing puzzles in philosophy of language. We defend and update Adams' solution to the puzzle: the probability of an epistemic conditional is not the probability of a proposition, but a probability under a supposition. -/- Close inspection of how a triviality result unfolds in a concrete scenario does not provide counterexamples to the view that probabilities of conditionals are conditional probabilities: instead, it supports the conclusion that probabilities (...)
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  4. Probability Theory with Superposition Events.David Ellerman - manuscript
    In finite probability theory, events are subsets S⊆U of the outcome set. Subsets can be represented by 1-dimensional column vectors. By extending the representation of events to two dimensional matrices, we can introduce "superposition events." Probabilities are introduced for classical events, superposition events, and their mixtures by using density matrices. Then probabilities for experiments or `measurements' of all these events can be determined in a manner exactly like in quantum mechanics (QM) using density matrices. Moreover the transformation of the (...)
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  5. Triviality Results, Conditional Probability, and Restrictor Conditionals.Jonathan Vandenburgh - manuscript
    Conditional probability is often used to represent the probability of the conditional. However, triviality results suggest that the thesis that the probability of the conditional always equals conditional probability leads to untenable conclusions. In this paper, I offer an interpretation of this thesis in a possible worlds framework, arguing that the triviality results make assumptions at odds with the use of conditional probability. I argue that these assumptions come from a theory called the operator theory (...)
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  6. Wittgenstein on Prior Probabilities.Michael E. Cuffaro - 2010 - Proceedings of the Canadian Society for History and Philosophy of Mathematics 23:85-98.
    Wittgenstein did not write very much on the topic of probability. The little we have comes from a few short pages of the Tractatus, some 'remarks' from the 1930s, and the informal conversations which went on during that decade with the Vienna Circle. Nevertheless, Wittgenstein's views were highly influential in the later development of the logical theory of probability. This paper will attempt to clarify and defend Wittgenstein's conception of probability against some oft-cited criticisms that stem from (...)
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  7. Why implicit attitudes are (probably) not beliefs.Alex Madva - 2016 - Synthese 193 (8).
    Should we understand implicit attitudes on the model of belief? I argue that implicit attitudes are (probably) members of a different psychological kind altogether, because they seem to be insensitive to the logical form of an agent’s thoughts and perceptions. A state is sensitive to logical form only if it is sensitive to the logical constituents of the content of other states (e.g., operators like negation and conditional). I explain sensitivity to logical form and argue that it is a (...)
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  8. Reality and the Probability Wave.Daniel Shanahan - 2019 - International Journal of Quantum Foundations 5:51-68.
    Effects associated in quantum mechanics with a divisible probability wave are explained as physically real consequences of the equal but opposite reaction of the apparatus as a particle is measured. Taking as illustration a Mach-Zehnder interferometer operating by refraction, it is shown that this reaction must comprise a fluctuation in the reradiation field of complementary effect to the changes occurring in the photon as it is projected into one or other path. The evolution of this fluctuation through the experiment (...)
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  9. Imprecise Probabilities in Quantum Mechanics.Stephan Hartmann - 2015 - In Colleen E. Crangle, Adolfo García de la Sienra & Helen E. Longino (eds.), Foundations and Methods From Mathematics to Neuroscience: Essays Inspired by Patrick Suppes. Stanford Univ Center for the Study. pp. 77-82.
    In his entry on "Quantum Logic and Probability Theory" in the Stanford Encyclopedia of Philosophy, Alexander Wilce (2012) writes that "it is uncontroversial (though remarkable) the formal apparatus quantum mechanics reduces neatly to a generalization of classical probability in which the role played by a Boolean algebra of events in the latter is taken over the 'quantum logic' of projection operators on a Hilbert space." For a long time, Patrick Suppes has opposed this view (see, for example, (...)
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  10. Believing Probabilistic Contents: On the Expressive Power and Coherence of Sets of Sets of Probabilities.Catrin Campbell-Moore & Jason Konek - 2019 - Analysis Reviews:anz076.
    Moss (2018) argues that rational agents are best thought of not as having degrees of belief in various propositions but as having beliefs in probabilistic contents, or probabilistic beliefs. Probabilistic contents are sets of probability functions. Probabilistic belief states, in turn, are modeled by sets of probabilistic contents, or sets of sets of probability functions. We argue that this Mossean framework is of considerable interest quite independently of its role in Moss’ account of probabilistic knowledge or her semantics (...)
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  11. More Than Impossible: Negative and Complex Probabilities and Their Philosophical Interpretation.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 12 (16):1-7.
    A historical review and philosophical look at the introduction of “negative probability” as well as “complex probability” is suggested. The generalization of “probability” is forced by mathematical models in physical or technical disciplines. Initially, they are involved only as an auxiliary tool to complement mathematical models to the completeness to corresponding operations. Rewards, they acquire ontological status, especially in quantum mechanics and its formulation as a natural information theory as “quantum information” after the experimental confirmation the phenomena (...)
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  12. Biopolitics & Probability: Agamben & Kierkegaard.Virgil W. Brower - 2021 - In Antonio Marcos Marcos & Colby Dickinson (eds.), Agamben and the Existentialists. pp. 46-64.
    This project retraces activations of Kierkegaard in the development of polit­ical theology. It suggests alternative modes of states of exception than those attributed to him by Schmitt, Taubes and Agamben. Several Kierkegaardian themes open themselves to 'something like pure potential' in Agamben, namely: living death, animality, criminality, auto-constitution, modification, liturgy, love and certain articulations of improbabilities. Attention is drawn to a modal ontology and auto-constitution at work in Kierkegaard's writings, as well as a complicated and indissociable operation between killing and (...)
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  13. Time's Arrow in a Quantum Universe: On the Status of Statistical Mechanical Probabilities.Eddy Keming Chen - 2020 - In Valia Allori (ed.), Statistical Mechanics and Scientific Explanation: Determinism, Indeterminism and Laws of Nature. World Scientific. pp. 479–515.
    In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are two (...)
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  14. Operational axioms for diagonalizing states.Giulio Chiribella & Carlo Maria Scandolo - 2015 - EPTCS 195:96-115.
    In quantum theory every state can be diagonalized, i.e. decomposed as a convex combination of perfectly distinguishable pure states. This elementary structure plays an ubiquitous role in quantum mechanics, quantum information theory, and quantum statistical mechanics, where it provides the foundation for the notions of majorization and entropy. A natural question then arises: can we reconstruct these notions from purely operational axioms? We address this question in the framework of general probabilistic theories, presenting a set of axioms that guarantee that (...)
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  15. Cognitive Skills Achievement in Mathematics of the Elementary Pre-Service Teachers Using Piaget’s Seven Logical Operations.Jaynelle G. Domingo, Edwin D. Ibañez, Gener Subia, Jupeth Pentang, Lorinda E. Pascual, Jennilyn C. Mina, Arlene V. Tomas & Minnie M. Liangco - 2021 - Turkish Journal of Computer and Mathematics Education 12 (4):435-440.
    This study determined the cognitive skills achievement in mathematics of elementary pre-service teachers as a basis for improving problem-solving and critical thinking which was analyzed using Piaget's seven logical operations namely: classification, seriation, logical multiplication, compensation, ratio and proportional thinking, probability thinking, and correlational thinking. This study utilized an adopted Test on Logical Operations (TLO) and descriptive research design to describe the cognitive skills achievement and to determine the affecting factors. Overall, elementary pre-service teachers performed with sufficient understanding in (...)
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  16. A discussion on the origin of quantum probabilities.Federico Holik, Manuel Sáenz & Angelo Plastino - 2014 - Annals of Physics 340 (1):293-310.
    We study the origin of quantum probabilities as arising from non-Boolean propositional-operational structures. We apply the method developed by Cox to non distributive lattices and develop an alternative formulation of non-Kolmogorovian probability measures for quantum mechanics. By generalizing the method presented in previous works, we outline a general framework for the deduction of probabilities in general propositional structures represented by lattices (including the non-distributive case).
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  17. Confidence Reports.Fabrizio Cariani, Paolo Santorio & Alexis Wellwood - manuscript
    We advocate and develop a states-based semantics for both nominal and adjectival confidence reports, as in "Ann is confident/has confidence that it's raining", and their comparatives "Ann is more confident/has more confidence that it's raining than that it's snowing". Other examples of adjectives that can report confidence include "sure" and "certain". Our account adapts Wellwood's account of adjectival comparatives in which the adjectives denote properties of states, and measure functions are introduced compositionally. We further explore the prospects of applying these (...)
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  18. Chancy Modus Ponens.Sven Neth - 2019 - Analysis 79 (4):632-638.
    Chancy modus ponens is the following inference scheme: ‘probably φ’, ‘if φ, then ψ’, therefore, ‘probably ψ’. I argue that Chancy modus ponens is invalid in general. I further argue that the invalidity of Chancy modus ponens sheds new light on the alleged counterexample to modus ponens presented by McGee. I close by observing that, although Chancy modus ponens is invalid in general, we can recover a restricted sense in which this scheme of inference is valid.
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  19. Context Probabilism.Seth Yalcin - 2012 - In M. Aloni (ed.), 18th Amsterdam Colloquium. Springer. pp. 12-21.
    We investigate a basic probabilistic dynamic semantics for a fragment containing conditionals, probability operators, modals, and attitude verbs, with the aim of shedding light on the prospects for adding probabilistic structure to models of the conversational common ground.
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  20. Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
    Epistemic modal operators give rise to something very like, but also very unlike, Moore's paradox. I set out the puzzling phenomena, explain why a standard relational semantics for these operators cannot handle them, and recommend an alternative semantics. A pragmatics appropriate to the semantics is developed and interactions between the semantics, the pragmatics, and the definition of consequence are investigated. The semantics is then extended to probability operators. Some problems and prospects for probabilistic representations of content (...)
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  21. Propositions as (Flexible) Types of Possibilities.Nate Charlow - 2022 - In Chris Tillman & Adam Murray (eds.), The Routledge Handbook of Propositions. Routledge. pp. 211-230.
    // tl;dr A Proposition is a Way of Thinking // -/- This chapter is about type-theoretic approaches to propositional content. Type-theoretic approaches to propositional content originate with Hintikka, Stalnaker, and Lewis, and involve treating attitude environments (e.g. "Nate thinks") as universal quantifiers over domains of "doxastic possibilities" -- ways things could be, given what the subject thinks. -/- This chapter introduces and motivates a line of a type-theoretic theorizing about content that is an outgrowth of the recent literature on epistemic (...)
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  22. The Problem of the Single Case.Huw Price - 1981 - Dissertation, Cambridge University
    This is my Cambridge PhD thesis, written under the supervision of Hugh Mellor and Richard Healey, and examined by Mary Hesse and Simon Blackburn. It addresses what it takes to be the core of the problem of single case probability, namely, the interpretation of claims such as ‘It is probable that P’ (where the probabilistic component occurs as a sentential or propositional operator). I argue that claims of this form are not genuinely truth-apt, and that such operators modify (...)
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  23. The heuristic conception of inference to the best explanation.Finnur Dellsén - 2017 - Philosophical Studies 175 (7):1745-1766.
    An influential suggestion about the relationship between Bayesianism and inference to the best explanation holds that IBE functions as a heuristic to approximate Bayesian reasoning. While this view promises to unify Bayesianism and IBE in a very attractive manner, important elements of the view have not yet been spelled out in detail. I present and argue for a heuristic conception of IBE on which IBE serves primarily to locate the most probable available explanatory hypothesis to serve as a working hypothesis (...)
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  24. Mighty Knowledge.Bob Beddor & Simon Goldstein - 2021 - Journal of Philosophy 118 (5):229-269.
    We often claim to know what might be—or probably is—the case. Modal knowledge along these lines creates a puzzle for information-sensitive semantics for epistemic modals. This paper develops a solution. We start with the idea that knowledge requires safe belief: a belief amounts to knowledge only if it could not easily have been held falsely. We then develop an interpretation of the modal operator in safety that allows it to non-trivially embed information-sensitive contents. The resulting theory avoids various paradoxes that (...)
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  25. Learning in Lithic Landscapes: A Reconsideration of the Hominid “Toolmaking” Niche.Peter Hiscock - 2014 - Biological Theory 9 (1):27-41.
    This article reconsiders the early hominid ‘‘lithic niche’’ by examining the social implications of stone artifact making. I reject the idea that making tools for use is an adequate explanation of the elaborate artifact forms of the Lower Palaeolithic, or a sufficient cause for long-term trends in hominid technology. I then advance an alternative mechanism founded on the claim that competency in making stone artifacts requires extended learning, and that excellence in artifact making is attained only by highly skilled individuals (...)
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  26. Causation.Douglas Kutach - 2014 - Malden, MA: Polity.
    In most academic and non-academic circles throughout history, the world and its operation have been viewed in terms of cause and effect. The principles of causation have been applied, fruitfully, across the sciences, law, medicine, and in everyday life, despite the lack of any agreed-upon framework for understanding what causation ultimately amounts to. In this engaging and accessible introduction to the topic, Douglas Kutach explains and analyses the most prominent theories and examples in the philosophy of causation. The book is (...)
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  27. Intention: Hyperintensional Semantics and Decision Theory.David Elohim - manuscript
    This paper argues that the types of intention can be modeled both as modal operators and via a multi-hyperintensional semantics. I delineate the semantic profiles of the types of intention, and provide a precise account of how the types of intention are unified in virtue of both their operations in a single, encompassing, epistemic space, and their role in practical reasoning. I endeavor to provide reasons adducing against the proposal that the types of intention are reducible to the mental (...)
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  28. The Dialogical Entailment Task.Niels Skovgaard-Olsen - 2019 - Cognition (C):104010.
    In this paper, a critical discussion is made of the role of entailments in the so-called New Paradigm of psychology of reasoning based on Bayesian models of rationality (Elqayam & Over, 2013). It is argued that assessments of probabilistic coherence cannot stand on their own, but that they need to be integrated with empirical studies of intuitive entailment judgments. This need is motivated not just by the requirements of probability theory itself, but also by a need to enhance the (...)
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  29. Review of Radicalizing Enactivism by Hutto and Myin (2012).Michael Starks - 2017 - Philosophy, Human Nature and the Collapse of Civilization Michael Starks 3rd Ed. (2017).
    Probably the leading exponent of W’s ideas on the language games of inner and outer (the ‘Two Selves’ operation of our personality or intentionality or EP etc. ) the prolific Daniel Hutto’s (DH) approach is called ‘Radical Enactivism’ and is well explained in numerous recent books and papers. It is a development of or version of the Embodied Mind ideas now current and, cleansed of its jargon, it is a straightforward extension of W’s 2nd and 3rd period writings (though Hutto (...)
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  30. Review of Radicalizing Enactivism by Hutto and Myin (2012) (review revised 2019).Michael Starks - 2019 - In Talking Monkeys-- Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet -- Articles and Reviews 2006-2019 Michael Starks 3rd Edition. Las Vegas, NV USA: Reality Press. pp. 230-253.
    Probably the leading exponent of Wittgenstein’s ideas on the language games of inner and outer (the ‘Two Selves’ operation of our personality or intentionality or EP etc.) the prolific Daniel Hutto’s approach is called ‘Radical Enactivism’ and is well explained in numerous recent books and papers. It is a development of or version of the Embodied Mind ideas now current and, cleansed of its jargon, it is a straightforward extension of Wittgenstein’s 2nd and 3rd period writings (though Hutto seems only (...)
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  31. This Year's Nobel Prize (2022) in Physics for Entanglement and Quantum Information: the New Revolution in Quantum Mechanics and Science.Vasil Penchev - 2023 - Philosophy of Science eJournal (Elsevier: SSRN) 18 (33):1-68.
    The paper discusses this year’s Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequalities and pioneering quantum information science” in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of “classical” quantum mechanics relevant to Pauli’s “particle” paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to the newly established quantum information (...)
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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. Study of the Covid-19 related quarantine concept as an emerging category of a linguistic consciousness.Vitalii Shymko & Anzhela Babadzhanova - 2020 - Psycholinguistics 28 (1):267-287.
    Objective. Study of the Covid-19 related quarantine concept as an emerging category of linguistic consciousness of Ukrainians. -/- Materials & Methods. The strategy of the study is based on the logical and methodological concept of inductivism. Respondents were asked to write down their own understanding of the quarantine, formulate an appropriate definition and describe the situation, which in their opinion is the exact opposite to quarantine. Respondents also assessed how much their psychological well-being, their daily lifestyle during quarantine had changed, (...)
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  34. Laws of Thought and Laws of Logic after Kant.Lydia Patton - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 123-137.
    George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire (...)
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  35. Cognitive Skills in Basic Mathematics of College Freshmen in the Philippines.Analyn M. Gamit - 2022 - Journal of Applied Mathematics and Physics 10 (12):3616-3628.
    Many students consider mathematics as the most dreaded subject in their curriculum, so much so that the term “math phobia” or “math anxiety” is practically a part of clinical psychological literature. This symptom is widespread and students suffer mental disturbances when facing mathematical activity because understanding mathematics is a great task for them. This paper described the students’ cognitive skills performance in Basic Mathematics based on the following logical operations: Classification, Seriation, Logical Multiplication, Compensation, Ratio and Proportional Thinking, Probability (...)
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  36. Finding structure in a meditative state.Bas Rasmussen - manuscript
    I have been experimenting with meditation for a long time, but just recently I seem to have come across another being in there. It may just be me looking at me, but whatever it is, it is showing me some really interesting arrangements of colored balls. At first, I thought it was just random colors and shapes, but it became very ordered. It was like this being (me?) was trying to talk to me but couldn’t, so was showing me some (...)
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  37. Grading Modal Judgement.Nate Charlow - 2020 - Mind 129 (515):769-807.
    This paper proposes a new model of graded modal judgment. It begins by problematizing the phenomenon: given plausible constraints on the logic of epistemic modality, it is impossible to model graded attitudes toward modal claims as judgments of probability targeting epistemically modal propositions. This paper considers two alternative models, on which modal operators are non-proposition-forming: (1) Moss (2015), in which graded attitudes toward modal claims are represented as judgments of probability targeting a “proxy” proposition, belief in which (...)
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  38. Institutional Knowledge and its Normative Implications.Säde Hormio - 2020 - In Rachael Mellin, Raimo Tuomela & Miguel Garcia-Godinez (eds.), Social Ontology, Normativity and Law. Berlin, Germany: De Gruyter. pp. 63-78.
    We attribute knowledge to institutions on a daily basis, saying things like "the government knew about the threat" or "the university did not act upon the knowledge it had about the harassment". Institutions can also attribute knowledge to themselves, like when Maybank Global Banking claims that it offers its customers "deep expertise and vast knowledge" of the Southeast Asia region, or when the United States Geological Survey states that it understands complex natural science phenomena like the probability of earthquakes (...)
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  39. Jeffrey conditionalization: proceed with caution.Borut Trpin - 2020 - Philosophical Studies 177 (10):2985-3012.
    It has been argued that if the rigidity condition is satisfied, a rational agent operating with uncertain evidence should update her subjective probabilities by Jeffrey conditionalization or else a series of bets resulting in a sure loss could be made against her. We show, however, that even if the rigidity condition is satisfied, it is not always safe to update probability distributions by JC because there exist such sequences of non-misleading uncertain observations where it may be foreseen that an (...)
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  40. Parsimony and the Fisher–Wright debate.Anya Plutynski - 2005 - Biology and Philosophy 20 (4):697-713.
    In the past five years, there have been a series of papers in the journal Evolution debating the relative significance of two theories of evolution, a neo-Fisherian and a neo-Wrightian theory, where the neo-Fisherians make explicit appeal to parsimony. My aim in this paper is to determine how we can make sense of such an appeal. One interpretation of parsimony takes it that a theory that contains fewer entities or processes, (however we demarcate these) is more parsimonious. On the account (...)
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  41.  86
    Reid on Powers and Abilities.M. Folescu - 2024 - In Sebastian Bender & Dominik Perler (eds.), Powers and Abilities in Early Modern Philosophy. Routledge. pp. 326-342.
    Early in his Essays on Intellectual Powers, Reid draws a distinction between mental power, mental operation, and mental capacity (EIP 21). To the untrained eye, these terms could probably be used interchangeably, and Reid believes this is correct, up to a point. He argues that, if we are interested in understanding exactly how the human mind works, we must use these terms with more precise meanings. This is part of his more general strategy of trying to always use the words (...)
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  42. Artificial intelligence and philosophical creativity: From analytics to crealectics.Luis de Miranda - 2020 - Human Affairs 30 (4):597-607.
    The tendency to idealise artificial intelligence as independent from human manipulators, combined with the growing ontological entanglement of humans and digital machines, has created an “anthrobotic” horizon, in which data analytics, statistics and probabilities throw our agential power into question. How can we avoid the consequences of a reified definition of intelligence as universal operation becoming imposed upon our destinies? It is here argued that the fantasised autonomy of automated intelligence presents a contradistinctive opportunity for philosophical consciousness to understand itself (...)
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  43. Entreprises et conventionnalisme: régulation, impôt et justice sociale.Martin O'Neill - 2009 - Raison Publique.
    The focus of this article is on the place of the limited-liability joint stock corporation in a satisfactory account of social justice and, more specifically, the question of how such corporations should be regulated and taxed in order to secure social justice. -/- Most discussion in liberal political philosophy looks at state institutions, on the one hand, and individuals, on the other hand, without giving much attention to intermediate institutions such as corporations. This is in part a consequence of a (...)
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  44.  51
    Prometheus and Proteus: the creative, unpredictable individual in evolution.Wolfgang Sterrer - 1992 - Evolution and Cognition 1:101-129.
    Evolutionary theory usually neglects two variables: the changes induced in the environment by the evolving organism, and individual uniqueness in sexually reproducing species. In order to fuel its maintenance and reproduction, an organism must average a positive net energy balance vis-a-v}s its environment. It achieves this via aptations, which consist of information (i.e., the internalization of all that is predictable about the environment, including the machinery to take advantage of this information) and stored energy (to operate the machinery, including a (...)
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  45. 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 – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing machine – (...)
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  46. Origin of Quantum Mechanical Results and Life: A Clue from Quantum Biology.Biswaranjan Dikshit - 2018 - Neuroquantology 16 (4):26-33.
    Although quantum mechanics can accurately predict the probability distribution of outcomes in an ensemble of identical systems, it cannot predict the result of an individual system. All the local and global hidden variable theories attempting to explain individual behavior have been proved invalid by experiments (violation of Bell’s inequality) and theory. As an alternative, Schrodinger and others have hypothesized existence of free will in every particle which causes randomness in individual results. However, these free will theories have failed to (...)
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  47. A simple proof of Born’s rule for statistical interpretation of quantum mechanics.Biswaranjan Dikshit - 2017 - Journal for Foundations and Applications of Physics 4 (1):24-30.
    The Born’s rule to interpret the square of wave function as the probability to get a specific value in measurement has been accepted as a postulate in foundations of quantum mechanics. Although there have been so many attempts at deriving this rule theoretically using different approaches such as frequency operator approach, many-world theory, Bayesian probability and envariance, literature shows that arguments in each of these methods are circular. In view of absence of a convincing theoretical proof, recently some (...)
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  48. Quantity in Quantum Mechanics and the Quantity of Quantum Information.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (47):1-10.
    The paper interprets the concept “operator in the separable complex Hilbert space” (particalry, “Hermitian operator” as “quantity” is defined in the “classical” quantum mechanics) by that of “quantum information”. As far as wave function is the characteristic function of the probability (density) distribution for all possible values of a certain quantity to be measured, the definition of quantity in quantum mechanics means any unitary change of the probability (density) distribution. It can be represented as a particular case of (...)
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  49. Le Corps et L'Ésprit, Part 1.Olivier Massin - 2008 - Swiss Philosophical Preprints.
    Nous distinguons ordinairement le corps de l’esprit : nous parvenons aisément à concevoir (même si nous n’y croyons pas forcément) que notre esprit survive à notre corps, ou qu’il aille se loger dans un autre corps. Il y a là, pensons-nous, une véritable différence de nature. Mais bien que cette distinction nous soit très intuitive, dès lors que nous cherchons à spécifier le critère sur lequel elle repose, elle se dérobe. Tout se passe comme si nous n’avions aucun mal à (...)
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  50. Nature, Science, Bayes 'Theorem, and the Whole of Reality‖.Moorad Alexanian - manuscript
    A fundamental problem in science is how to make logical inferences from scientific data. Mere data does not suffice since additional information is necessary to select a domain of models or hypotheses and thus determine the likelihood of each model or hypothesis. Thomas Bayes’ Theorem relates the data and prior information to posterior probabilities associated with differing models or hypotheses and thus is useful in identifying the roles played by the known data and the assumed prior information when making inferences. (...)
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