Detail príspevku/publikácie

What is Wrong with the Intuitionist Ontology in Mathematics

Organon F, 1997, roč. 4, č. 2, s. 111-116.
Súbor na stiahnutie: PDF*
BibTex EndNote Tagged EndNote XML RIS

Štatistika dokumentu:

Počet prístupov: 2,697
Počet prístupov dnes: 0
Naposledy zobrazené: 08.12.2024 - 06:29
Počet stiahnutí PDF: 718

Abstrakt

The main aspect of the intuitionist ontology of mathematicsis the conception of mathematical objects as products (constructions) of the human mind. This paper argues that so long as the existence of mathematical objects is made dependent on thehuman mind (or even any physically realizable mind), the intuitionist ontology is refutable in that it is inconsistent with our well-confirmed beliefs about what is physically possible. At the same time, it is also argued that the intuitionistś attempt to remove this inconsistency by endowing the mind with various highly idealized features and capacities will erase any significant ontological difference between Intuitionism and Platonism.

*Príspevok je chránený zákonom o autorskom práve a právach súvisiacich s autorským právom (autorský zákon).