Results 41 to 50 of about 695,402 (315)
On some peculiar aspects of the constructive theory of point-free spaces
This paper presents several independence results concerning the topos-valid and the intuitionistic (generalized) predicative theories of locales. In particular, certain consequences of the consistency of a general form of Troelstra's uniformity principle
Blass, Gutierres, Herrlich
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Curves on torus layers and coding for continuous alphabet sources [PDF]
In this paper we consider the problem of transmitting a continuous alphabet discrete-time source over an AWGN channel. The design of good curves for this purpose relies on geometrical properties of spherical codes and projections of $N$-dimensional ...
Campello, Antonio +2 more
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A constructive theory of point-set nearness
The authors formulate an axiomatic introduction to the classical theory of nearness spaces [see e.g. \textit{S. A. Naimpally} and \textit{B. D. Warrack}, Proximity spaces (Cambridge Tracts in Mathematics and Mathematical Physics 59, Cambridge University Press, London) (1970; Zbl 0206.24601)].
Vîţă, L.S., Bridges, D.S.
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PRESHEAF MODELS FOR CONSTRUCTIVE SET THEORIES [PDF]
AbstractThis chapter introduces new kinds of models for constructive set theories based on categories of presheaves. It concentrates on categories of classes rather than sets, following the lines of algebraic set theory. It defines a general notion of what is a categorical model for CST, and shows that categories of presheaves provide examples of such ...
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This contribution assesses the entrepreneurship competence that students cultivated during an interfaculty and innovative initiative grounded on Google Design Sprint methodology.
Daniele Morselli, Guido Orzes
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Type theories, toposes and constructive set theory: predicative aspects of AST
The correlation between type theories and categorical structures (e.g., simply-typed lambda calculus and Cartesian closed categories) is very significant in categorical logic. The categorical counterpart of higher-order intuitionistic logic is topos theory, which is essentially impredicative in nature.
Moerdijk, Ieke, Palmgren, Erik
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Molecular bases of circadian magnesium rhythms across eukaryotes
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
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Set Theory, Dynamism, and the Event: Reinjecting Time into the Foundations of Mathematics
This article concentrates on exploring the relevance of the postmodernist concept of the event to mathematical philosophy and the foundations of mathematics.
Said Mikki
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Godel-Rosser's Incompleteness Theorems for Non-Recursively Enumerable Theories
Godel's First Incompleteness Theorem is generalized to definable theories, which are not necessarily recursively enumerable, by using a couple of syntactic-semantic notions, one is the consistency of a theory with the set of all true $\Pi_n$-sentences or
Salehi, Saeed, Seraji, Payam
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Inaccessibility in constructive set theory and type theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rathjen, Michael +2 more
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