# 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 2016-08-28 10:34:48*

### The Godel's «first Theorem on the Incompleteness of Formal Arithmetic» is not Even a Plausible Hypothesis

**Authors:** Vatolin Dm

**Comments:** 9 Pages. Russian

In this article it’s proved that consistent derivation of the «Godel formula» is possible only in the theory where it’s forbidden to talk about proofs adequately. Godel’s assumptions have not been derivated from unconditional meta-mathematical axioms.

**Category:** Set Theory and Logic