Set Theory and Logic

1209 Submissions

[2] viXra:1209.0103 [pdf] replaced on 2014-06-07 09:17:38

Fernan: the Value of the Intuition

Authors: Fernando Sanchez-Escribano
Comments: Spanish original(11 pages) and English translation (11 pages)

Hereby it is presented a new set theory (generalized as the so-called system theory, fully respectful with the dictates of intuition (including the existence and numerability of the universal set, of which all beings are elements) and capable to overcome all the logical difficulties that forced logicians in last century to accept never desired axioms for avoiding contradictions. The somewhat philosophical nature of the essay, imposed by the need to distinghish between concepts before not sufficiently clear, if not confused, and now denoted with distinct names (some neologisms), such as entema, concept, reflexo, set, system, aente, uente…, should not prevent the appreciation of its mathematical significance. 
Category: Set Theory and Logic

[1] viXra:1209.0070 [pdf] submitted on 2012-09-20 17:26:27

Interpreting Sergeyev's Numerical Methodology Within a Hyperreal Number System

Authors: Nader Vakil
Comments: 4 Pages.

In this paper we show the consistency of the essential part of Sergeyev's numerical methodology (\cite{Yarov 1}, \cite{Yarov 2}) by constructing a model of it within the framework of an ultrapower of the ordinary real number system.
Category: Set Theory and Logic