<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Classic understanding of logic as an instrument of cognition, which, in effect, pertain rather to human’s mind than to reality itself, gives rise to the fundamental mapping problem of reconciliation of this reality with any possible practices of its representations in thought. In other words, it is essentially not the same thing that can be thought and that can be. However, after unusual and highly abstract (essentially geometric) Grothendieck constructions gave rise to so called categorial analysis of logic, it became possible to show, that (up to categorial equivalence) Parmenides after all was right.</p></abstract>

Classic understanding of logic as an instrument of cognition, which, in effect, pertain rather to human’s mind than to reality itself, gives rise to the fundamental mapping problem of reconciliation of this reality with any possible practices of its representations in thought. In other words, it is essentially not the same thing that can be thought and that can be. However, after unusual and highly abstract (essentially geometric) Grothendieck constructions gave rise to so called categorial analysis of logic, it became possible to show, that (up to categorial equivalence) Parmenides after all was right.

Thought and Being are the Same: Categorial Rendition of the Parmenidian Thesis

Studies in Logic, Grammar and Rhetoric

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Thought and Being are the Same: Categorial Rendition of the Parmenidian Thesis"}

Classic understanding of logic as an instrument of cognition, which, in effect, pertain rather to human’s mind than to reality itself, gives rise to the...

Thought and Being are the Same: Categorial Rendition of the Parmenidian Thesis

Published Online: Nov 23, 2016

Page range: 193 - 210

DOI: https://doi.org/10.1515/slgr-2016-0040

Keywords
appearing, categorial equivalence, Grothendieck topos, ontology, sheaves, theory of Ω-sets

© 2016 Studies in Logic, Grammar and Rhetoric

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Thought and Being are the Same: Categorial Rendition of the Parmenidian Thesis

Published Online: Nov 23, 2016

Page range: 193 - 210

DOI: https://doi.org/10.1515/slgr-2016-0040

Keywordsappearing, categorial equivalence, Grothendieck topos, ontology, sheaves, theory of Ω-sets

© 2016 Studies in Logic, Grammar and Rhetoric

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
appearing, categorial equivalence, Grothendieck topos, ontology, sheaves, theory of Ω-sets