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In this paper, following an elementary line of thought which somewhat differs from the usual one, we prove once more that any deterministic theory predictively equivalent to quantum mechanics unavoidably exhibits a contextual character. The…

Quantum Physics · Physics 2009-11-13 GianCarlo Ghirardi , Karl Wienand

Human communication is based on a variety of inferences that we draw from sentences, often going beyond what is literally said. While there is wide agreement on the basic distinction between entailment, implicature, and presupposition, the…

Computation and Language · Computer Science 2024-05-10 Polina Tsvilodub , Paul Marty , Sonia Ramotowska , Jacopo Romoli , Michael Franke

In this paper, we consider the problem of making skeptical inferences for the multi-label ranking problem. We assume that our uncertainty is described by a convex set of probabilities (i.e. a credal set), defined over the set of labels.…

Machine Learning · Statistics 2022-10-18 Yonatan Carlos Carranza Alarcón , Vu-Linh Nguyen

We review the well known Bertrand paradoxes, and we first maintain that they do not point to any probabilistic inconsistency, but rather to the risks incurred with a careless use of the locution "at random". We claim then that these…

History and Overview · Mathematics 2019-08-23 Nicola Cufaro Petroni

Physicists have, hitherto, mostly adopted a frequentist conception of probability, according to which probability statements apply only to ensembles. It is argued that we should, instead, adopt an epistemic, or Bayesian conception, in which…

Quantum Physics · Physics 2009-11-10 D. M. Appleby

In game theory, the notion of a player's beliefs about the game players' beliefs about other players' beliefs arises naturally. In this paper, we present a non-self-referential paradox in epistemic game theory which shows that completely…

Logic · Mathematics 2016-01-26 Ahmad Karimi

Recent experiments have perfectly verified the fact that quantum correlations between two entangled particles are stronger than any classical, local pre-quantum worldview allows. This is famously called the EPR paradox first conceived as a…

History and Philosophy of Physics · Physics 2016-04-25 David Weinbaum

The principle that rational agents should maximize expected utility or choiceworthiness is intuitively plausible in many ordinary cases of decision-making under uncertainty. But it is less plausible in cases of extreme, low-probability risk…

Theoretical Economics · Economics 2020-08-11 Christian Tarsney

Nearly all spatial reasoning problems involve uncertainty of one sort or another. Uncertainty arises due to the inaccuracies of sensors used in measuring distances and angles. We refer to this as directional uncertainty. Uncertainty also…

Artificial Intelligence · Computer Science 2013-04-08 Kenneth Basye , Thomas L. Dean

There are various non-equivalent definitions of locality. Three of them, impossibility of instantaneous communication, impossibility of action-at-a-distance, and impossibility of faster-than-light travel, while not fully implying each…

Quantum Physics · Physics 2011-05-06 Antonio Di Lorenzo

Non-local correlations are usually understood through the outcomes of alternative measurements (on two or more parts of a system) that cannot altogether actually be carried out in an experiment. Indeed, a joint input/output -- e.g.,…

Quantum Physics · Physics 2015-11-11 Stefan Wolf

We show here that what we call visual space of consciousness, the space of what we see, is a specific space different from the purely physical one and that its properties imply that it cannot be reduced to or deduced from physical laws.…

Neurons and Cognition · Quantitative Biology 2021-10-28 Iegor Reznikoff

By applying Hardy's argument, we demonstrate the violation of local realism in a gedanken experiment using independent and separated particle sources.

Quantum Physics · Physics 2009-11-07 Xu-Bo Zou , Hai-Woong Lee , Jaewan Kim , Jae-Weon Lee , Eok Kyun Lee

Scientific realism is, currently, one of the most well-entrenched background assumptions of some relevant versions of anti-exceptionalism about logic. We argue that this is a sort of sociological contingency rather than a metaphilosophical…

History and Philosophy of Physics · Physics 2025-07-08 Jonas R. B. Arenhart , Raoni Arroyo , Ederson Safra Melo

Why do people who disagree about one subject tend to disagree about other subjects as well? In this paper, we introduce a model to explore this phenomenon of "epistemic factionization". Agents attempt to discover the truth about multiple…

Social and Information Networks · Computer Science 2020-05-04 James Owen Weatherall , Cailin O'Connor

Belief systems are often treated as globally consistent sets of propositions or as scalar-valued probability distributions. Such representations tend to obscure the internal structure of belief, conflate external credibility with internal…

Artificial Intelligence · Computer Science 2025-08-06 Saleh Nikooroo

Credences are mental states corresponding to degrees of confidence in propositions. Attribution of credences to Large Language Models (LLMs) is commonplace in the empirical literature on LLM evaluation. Yet the theoretical basis for LLM…

Artificial Intelligence · Computer Science 2025-04-15 Geoff Keeling , Winnie Street

Abductive reasoning is a popular non-monotonic paradigm that aims to explain observed symptoms and manifestations. It has many applications, such as diagnosis and planning in artificial intelligence and database updates. In propositional…

Artificial Intelligence · Computer Science 2026-01-14 Johannes Schmidt , Mohamed Maizia , Victor Lagerkvist , Johannes K. Fichte

The study of quantum reference frames (QRFs) is motivated by the idea of taking into account the quantum properties of the reference frames used, explicitly or implicitly, in our description of physical systems. Like classical reference…

We find a translation with particularly nice properties from intuitionistic propositional logic in countably many variables to intuitionistic propositional logic in two variables. In addition, the existence of a possibly-not-as-nice…

Logic · Mathematics 2007-05-23 Michael O'Connor
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