W duchu Tarskiego: o alternatywach teorio-dowodowej metalogiki

Autor

  • Stanisław J. Surma Department of Philosophy, University of Auckland

Abstrakt

the standard metalogical set-ups seem to be all based on the idea of consequence (or proof). However, metalogic can also be effectively constructed using some non-standard primmitive ideas. In this paper an outline is given to four metalogical frameworks, alternative to the standard set-ups. They are based, respectively, on the idea of consistency; on an omission (or separation) operator; on an extension operator (called in the paper a Lindenbaum operator); and on the idea of maximality. All these metalogics, including the standard consequence-based one, are one-to-one and proof-preserving translatable, and, in this sense, are seen pairwise equivalent and „externally” consistent.

Pobrania

Opublikowane

1993-03-01

Jak cytować

Surma, S. J. (1993). W duchu Tarskiego: o alternatywach teorio-dowodowej metalogiki. Filozofia Nauki, 1(1), 49–65. Pobrano z https://www.fn.uw.edu.pl/index.php/fn/article/view/5