Inconsistency of ℕ with the set union operation

Abstract

Considering the axiom of infinity, then N and Peano axioms, together a list of N subsets, inclusion relation and union operation, a contradiction is obtained.

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Inconcistency of ℕ from a not-finitist point of view.Enrico Pier Giorgio Cadeddu - 2023 - International Journal of Modern Research in Engineering and Technology 8 (10):2.
Inconsistency and contradiction.John N. Williams - 1981 - Mind 90 (360):600-602.
On ω-inconsistency and a so-called axiom of infinity.W. V. Quine - 1953 - Journal of Symbolic Logic 18 (2):119-124.
On Interpretations of Arithmetic and Set Theory.Richard Kaye & Tin Lok Wong - 2007 - Notre Dame Journal of Formal Logic 48 (4):497-510.
The Axiom of Infinity and Transformations j: V → V.Paul Corazza - 2010 - Bulletin of Symbolic Logic 16 (1):37-84.
On the axiom of union.Greg Oman - 2010 - Archive for Mathematical Logic 49 (3):283-289.

Analytics

Added to PP
2024-01-23

Downloads
85 (#199,751)

6 months
85 (#56,928)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references