# Set Theory and Logic

## 1611 Submissions

[4] **viXra:1611.0415 [pdf]**
*submitted on 2016-11-30 16:52:52*

### Propositional Logic: An Extension Nary Anthropic

**Authors:** Arthur Shevenyonov

**Comments:** 6 Pages. new foundations

The proposed extension of propositional logic exhibits a striking similarity to generalized games with a chance player while pointing to accidental applications in quantum computing.

**Category:** Set Theory and Logic

[3] **viXra:1611.0330 [pdf]**
*submitted on 2016-11-24 04:20:28*

### Ultra Neutrosophic Crisp Sets and Relations

**Authors:** Hewayda Elghawalby, A. A. Salama

**Comments:** 8 Pages.

In this paper we present a new neutrosophic crisp family generated from the three components’
neutrosophic crisp sets presented by Salama [4]. The idea behind Salam’s neutrosophic crisp set
was to classify the elements of a universe of discourse with respect to an event ”A” into three
classes: one class contains those elements that are fully supportive to A, another class contains
those elements that totally against A, and a third class for those elements that stand in a distance
from being with or against A. Our aim here is to study the elements of the universe of discourse
which their existence is beyond the three classes of the neutrosophic crisp set given by Salama. By adding more components we will get a four components’ neutrosophic crisp sets called the Ultra Neutrosophic Crisp Sets. Four types of set’s operations is defined and the properties of the new ultra neutrosophic crisp sets are studied. Moreover, a definition of the relation between two ultra neutrosophic crisp sets is given.

**Category:** Set Theory and Logic

[2] **viXra:1611.0281 [pdf]**
*submitted on 2016-11-19 11:31:44*

### An Introduction to F-Notation and the Prove of the Cartesian Product of Natural Number is Countably Infinite

**Authors:** Damodar Rajbhandari

**Comments:** 3 Pages.

This paper will introduce a new notation named as F-notation. This notation will help us to prove the statement, "The cartesian product of natural numbers is countably infinite".

**Category:** Set Theory and Logic

[1] **viXra:1611.0079 [pdf]**
*submitted on 2016-11-06 06:48:50*

### Sets, Formulas and Electors

**Authors:** Max Null, Sergey Belov

**Comments:** 4 Pages.

This article is a mathematical experiment with the sets and the formulas.
We consider new elements which are called the electors. The elector has the
properties of the sets and the formulas.

**Category:** Set Theory and Logic