# Set Theory and Logic

## 1010 Submissions

[2] **viXra:1010.0052 [pdf]**
*submitted on 20 Mar 2010*

### Neutrosophic Degree of a Paradoxicity

**Authors:** Florentin Smarandache

**Comments:** 3 pages

A paradox is called a statement <P> which is true and false in the same time.
Therefore, if we suppose that statement <P> is true, it results that <P> is false; and reciprocally,
if we suppose that <P> is false, it results that <P> is true.

**Category:** Set Theory and Logic

[1] **viXra:1010.0002 [pdf]**
*replaced on 19 Apr 2011*

### The Gëdel Thesis 'about a Incompleteness of Formal Arithmetics' is not Proved and This Hypothesis is not Similar to the Truth

**Authors:** Dm. Vatolin

**Comments:** 9 pages, in Russian.

In this paper the question is examined that an incompleteness
of advanced enough theories of arithmetic does not
follow from the Gëdel statements.

**Category:** Set Theory and Logic