Set Theory and Logic

1902 Submissions

[3] viXra:1902.0448 [pdf] submitted on 2019-02-26 23:58:12

On The Model Of Hyperrational Numbers With Selective Ultrafilter

Authors: Armen Grigoryants
Comments: 6 Pages.

In standard construction of hyperrational numbers using ultrapower we assume that the ultrafilter is selective. It makes possible to assign real value to any finite hyperrational number. So, we can consider hyperrational numbers with selective ultrafilter as extension of traditional real numbers. Also proved the existence of strictly monotonic or stationary representing sequence for any hyperrational number.
Category: Set Theory and Logic

[2] viXra:1902.0189 [pdf] replaced on 2019-02-11 10:01:58

The Philosophy of Mathematics

Authors: Hugh Wang
Comments: 2 Pages.

What is mathematics? Why does it exist? Is it consistent? Is it complete? We answer these questions as well as resolve Russell’s Paradox and debunk Godel’s Incompleteness Theorem.
Category: Set Theory and Logic

[1] viXra:1902.0065 [pdf] replaced on 2019-02-07 20:08:21

Construction of Sets and Axiomatic System

Authors: Baekhyun Lee
Comments: 15 Pages. Language: Korean

This paper is written to show that concept of sets can be constructed with a few axioms, and also the axioms can be treated as a set.
Category: Set Theory and Logic