Results 51 to 60 of about 3,715 (167)

Application of formative processes to the decision problem in set theory

open access: yesLe Matematiche, 2004
As part of a project aimed at the implementation of a proof-checker based on  the set-theoretic formalism, the decision problem in set theory has been studied very intensively, starting in the late seventies.Several results have been produced in the ...
Domenico Cantone, Pietro Ursino
doaj  

The concept of strong and weak virtual reality

open access: yes, 2006
We approach the virtual reality phenomenon by studying its relationship to set theory, and we investigate the case where this is done using the wellfoundedness property of sets.
A. Baltag   +7 more
core   +1 more source

A survey of computable set theory

open access: yesLe Matematiche, 1988
This paper surveys various decidability results in the set theory. In the first part, we focus on certain classes of unquantified set-theoretic formulae involving the relations ∊ “membership”, = “equality”, and the operators ...
Domenico Cantone
doaj  

Topological set theories and hyperuniverses [PDF]

open access: yes, 2012
We give a new set theoretic system of axioms motivated by a topological intuition: The set of subsets of any set is a topology on that set. On the one hand, this system is a common weakening of Zermelo-Fraenkel set theory ZF, the positive set theory GPK ...
Fackler, Andreas
core  

Fragments of Frege's Grundgesetze and G\"odel's Constructible Universe [PDF]

open access: yes, 2015
Frege's Grundgesetze was one of the 19th century forerunners to contemporary set theory which was plagued by the Russell paradox. In recent years, it has been shown that subsystems of the Grundgesetze formed by restricting the comprehension schema are ...
Walsh, Sean
core  

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