Filozofia i logika intuicjonizmu

• Authors: Marlena Fila
• Languages of publication: PL

Abstracts

EN

At the end of the 19th century in the fundamentals of mathematics appeared a crisis. It was caused by the paradoxes found in Cantor’s set theory. One of the ideas a resolving the crisis was intuitionism – one of the constructivist trends in the philosophy of mathematics. Its creator was Brouwer, the main representative was Heyting. In this paper described will be attempt to construct a suitable logic for philosophical intuitionism theses. In second paragraph Heyting system will be present – its axioms and matrices truth-. Later Gödel theorem about the inadequacy of finite dimensional matrices for this system will be explained. At the end this paper an infinite sequence of matrices adequate for Heyting axioms proposed by Jaśkowski will be described.

Keywords

PL

intuitionism; axioms; matrices truth-; Heyting system; Gödel theorem about the inadequacy of finite dimensional matrices for Heyting system; infinite sequence of matrices

EN

intuitionism; axioms; matrices truth-; Heyting system; Gödel theorem about the inadequacy of finite dimensional matrices for Heyting system; infinite sequence of matrices

• Publisher: Uniwersytet Papieski Jana Pawła II w Krakowie
• Journal: Semina Scientiarum
• Year: 2015
• Volume: 14

Dates

published

2015

online

2015-09-01

Contributors

author

Marlena Fila

Identifiers

DOI

10.15633/ss.1077