$σ$-Set Theory: Introduction to the concepts of $σ$-antielement, $σ$-antiset and Integer Space

Details $σ$-Set Theory: Introduction to the concepts of $σ$-antielement, $σ$-antiset and Integer Space $σ$-Set Theory: Introduction to the concepts of $σ$-antielement, $σ$-antiset and Integer Space

2009-06-17

arxiv.org/abs/0906.3120v8

Mathematics

Logic

Scientific paper

In this paper we develop a theory called $\sigma$-Set Theory, in which we present an axiom system developed from the study of Set Theories of Zermelo-Fraenkel, Neumann-Bernays-Godel and Morse-Kelley. In $\sigma$-Set Theory, we present the proper existence of objects called $\sigma$-antielement, $\sigma$-antiset, natural numbers, antinatural numbers and generated $\sigma$-set by two $\sigma$-sets, from which we obtain, among other things, a commutative non-associative algebraic structure called Integer Space $3^{X}$, which corresponds to the algebraic completion of $2^{X}$.

Affiliated with

Also associated with

No associations

Rating

$σ$-Set Theory: Introduction to the concepts of $σ$-antielement, $σ$-antiset and Integer Space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $σ$-Set Theory: Introduction to the concepts of $σ$-antielement, $σ$-antiset and Integer Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $σ$-Set Theory: Introduction to the concepts of $σ$-antielement, $σ$-antiset and Integer Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-222895