ScholarLens Back to search
2011•Mathematical logic quarterlyRequires access

Forcing with the Anti‐Foundation axiom

Olivier Esser

Open publisher page 0 citations

Abstract

Abstract In this paper we define the forcing relation and prove its basic properties in the context of the theory ZFCA, i.e., ZFC minus the Foundation axiom and plus the Anti‐Foundation axiom (AFA).

About this research paper

What this paper is about

Abstract In this paper we define the forcing relation and prove its basic properties in the context of the theory ZFCA, i.e., ZFC minus the Foundation axiom and plus the Anti‐Foundation axiom (AFA).

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract In this paper we define the forcing relation and prove its basic properties in the context of the theory ZFCA, i.e., ZFC minus the Foundation axiom and plus the Anti‐Foundation axiom (AFA).

Key concepts: Forcing (mathematics), Mathematics, Axiom, Constructive set theory, Foundation (evidence), Axiom of choice, Zermelo–Fraenkel set theory, Urelement

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Forcing with the Anti‐Foundation axiom — Research Paper | ScholarLens