Comprehension contradicts to the induction within Łukasiewicz predicate logic (Q1016508)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Comprehension contradicts to the induction within Łukasiewicz predicate logic |
scientific article; zbMATH DE number 5551232
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comprehension contradicts to the induction within Łukasiewicz predicate logic |
scientific article; zbMATH DE number 5551232 |
Statements
Comprehension contradicts to the induction within Łukasiewicz predicate logic (English)
0 references
6 May 2009
0 references
The author gives a simpler and shorter proof of Hájek's theorem that the mathematical induction on \(\omega\) implies a contradiction in the set theory with the comprehension principle within Łukasiewicz predicate logic Ł\(\forall\) [\textit{P. Hájek}, Arch. Math. Logic 44, No. 6, 763--782 (2005; Zbl 1096.03064)] by extending a related proof given by the author in [Arch. Math. Logic 46, No.~3--4, 281--287 (2007; Zbl 1110.03049)] so as to be effective in any linearly ordered MV-algebra.
0 references
comprehension principle
0 references
mathematical induction on \(\omega\)
0 references
