Results 11 to 20 of about 3,584 (122)
The axiom of determinacy implies dependent choice in mice [PDF]
Mathematical Logic Quarterly, 2019 AbstractWe show that the Axiom of Dependent Choice, , holds in countably iterable, passive premice constructed over their reals which satisfy the Axiom of Determinacy, , in a background universe. This generalizes an argument of Kechris for using Steel's analysis of scales in mice. In particular, we show that for any and any countable set of reals A
Sandra Müller
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The simulation technique and its applications to infinitary combinatorics under the axiom of Blackwell determinacy [PDF]
Pacific Journal of Mathematics, 2004 The author considers Blackwell games, which are infinite two-person games with ``slightly imperfect'' information; these belong to the broader class of stochastic games. He uses the concepts of mixed strategy and strong optimality to define Blackwell determinacy. In fact, the author introduces three different axioms of Blackwell determinacy: Bl-AD, pBl-
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Functionalism and tacit knowledge of grammar
Philosophical Perspectives, Volume 37, Issue 1, Page 18-48, December 2023., 2023 Abstract In this article, I argue that if tacit knowledge of grammar is analyzable in functional‐computational terms, then it cannot ground linguistic meaning, structure, or sound. If to know or cognize a grammar is to be in a certain computational state playing a certain functional role, there can be no unique grammar cognized.
David Balcarras
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When cardinals determine the power set: inner models and Härtig quantifier logic
Mathematical Logic Quarterly, Volume 69, Issue 4, Page 460-471, November 2023., 2023 Abstract We show that the predicate “x is the power set of y” is Σ1(Card)$\Sigma _1(\operatorname{Card})$‐definable, if V = L[E] is an extender model constructed from a coherent sequences of extenders, provided that there is no inner model with a Woodin cardinal. Here Card$\operatorname{Card}$ is a predicate true of just the infinite cardinals.
Jouko Väänänen, Philip D. Welch
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Infinite Wordle and the mastermind numbers
Mathematical Logic Quarterly, Volume 69, Issue 4, Page 400-416, November 2023., 2023 Abstract I consider the natural infinitary variations of the games Wordle and Mastermind, as well as their game‐theoretic variations Absurdle and Madstermind, considering these games with infinitely long words and infinite color sequences and allowing transfinite game play.
Joel David Hamkins
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Equivalence of partition properties and determinacy. [PDF]
Proc Natl Acad Sci U S A, 1983 Kechris AS, Woodin WH.
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Practical judgment as reflective judgment: On moral salience and Kantian particularist universalism
European Journal of Philosophy, Volume 31, Issue 3, Page 600-621, September 2023., 2023 Abstract Moral particularists and generalists alike have struggled over how to incorporate the role of moral salience in ethical reasoning. In this paper, I point to neglected resources in Kant to account for the role of moral salience in maxim formation: Kant's theory of reflective judgment.
Sabina Vaccarino Bremner
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Noûs, Volume 57, Issue 3, Page 553-575, September 2023., 2023 Abstract Is a human more conscious than an octopus? In the science of consciousness, it's oftentimes assumed that some creatures (or mental states) are more conscious than others. But in recent years, a number of philosophers have argued that the notion of degrees of consciousness is conceptually confused.
Andrew Y. Lee
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Interpretation, Argumentation, and the Determinacy of Law
Ratio Juris, Volume 36, Issue 3, Page 214-241, September 2023., 2023 Abstract This article models legal interpretation through argumentation and provides a logical analysis of interpretive arguments, their conflicts, and the resulting indeterminacies. Interpretive arguments are modelled as defeasible inferences, which can be challenged and defeated by counterarguments and be reinstated through further arguments.
Giovanni Sartor
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On behalf of the moral realist
, 2023 Philosophy and Phenomenological Research, Volume 107, Issue 3, Page 794-802, November 2023.
Gideon Rosen
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