Results 41 to 50 of about 6,079,487 (235)
The weak choice principle WISC may fail in the category of sets [PDF]
, 2015 The set-theoretic axiom WISC states that for every set there is a set of surjections to it cofinal in all such surjections. By constructing an unbounded topos over the category of sets and using an extension of the internal logic of a topos due to ...
Roberts, David Michael
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A Topos Foundation for Theories of Physics: I. Formal Languages for Physics [PDF]
, 2007 This paper is the first in a series whose goal is to develop a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain deep issues that arise when contemplating quantum theories of space and time ...
A. Döring +15 more
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Towards a Paraconsistent Quantum Set Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 In this paper, we will attempt to establish a connection between quantum set theory, as developed by Ozawa, Takeuti and Titani, and topos quantum theory, as developed by Isham, Butterfield and Döring, amongst others.
Benjamin Eva
doaj +1 more source
Sets in homotopy type theory [PDF]
, 2014 Homotopy Type Theory may be seen as an internal language for the $\infty$-category of weak $\infty$-groupoids which in particular models the univalence axiom.
Rijke, Egbert, Spitters, Bas
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Periodontitis and atherosclerotic cardiovascular disease: A critical appraisal
Periodontology 2000, EarlyView., 2023 Abstract In spite of intensive research efforts driving spectacular advances in terms of prevention and treatments, cardiovascular diseases (CVDs) remain a leading health burden, accounting for 32% of all deaths (World Health Organization. “Cardiovascular Diseases (CVDs).” WHO, February 1, 2017, https://www.who.int/news‐room/fact‐sheets/detail ...
Maria Clotilde Carra +3 more
wiley +1 more source
Is Quantum Field Theory Necessarily “Quantum”?
Quantum ReportsThe mathematical universe of the quantum topos, which is formulated on the basis of classical Boolean snapshots, delivers a neo-realist description of quantum mechanics that preserves realism.
Ali Shojaei-Fard
doaj +1 more source
Ennobling Love and Erotic Elevation: A Response to Six Readings of Ars Erotica
Eidos. A Journal for Philosophy of Culture, 2022 Preview: In various guises and cultures, the theme of elevating, ennobling love is a recurrent topos in the premodern erotic theory my book traces.
Richard Shusterman
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Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity [PDF]
, 1999 We discuss some ways in which topos theory (a branch of category theory) can be applied to interpretative problems in quantum theory and quantum gravity. In Sec.1, we introduce these problems. In Sec.2, we introduce topos theory, especially the idea of a
C. Isham, J. Butterfield
semanticscholar +1 more source
On the validity of the definition of a complement-classifier
Zagadnienia Filozoficzne w Nauce, 2020 It is well-established that topos theory is inherently connected with intuitionistic logic. In recent times several works appeared concerning so-called complement-toposes (co-toposes), which are allegedly connected to the dual to intuitionistic logic. In
Mariusz Stopa
doaj
tripleC: Communication, Capitalism & Critique, 2009 Generalizing the conceptual approach to a theory of biosemiotics which is primarily based on insight from mathematical topology , we discuss here the relevance of the cognitive representation of the category of space in terms of the consequences implied ...
Rainer Zimmermann, Wolfgang Hofkirchner
doaj +1 more source