ROSHANGAR, Hazhir. How Can Mathematical Objects Be Real but Mind-Dependent? In Wittgenstein Symposium. 2022.
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Basic information
Original name How Can Mathematical Objects Be Real but Mind-Dependent?
Authors ROSHANGAR, Hazhir.
Edition Wittgenstein Symposium, 2022.
Other information
Original language English
Type of outcome Presentations at conferences
Country of publisher Austria
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Faculty of Arts
Keywords in English abstract objects, access problem, platonism, philosophy of mathematics
Changed by Changed by: Hazhir Roshangar, Ph.D., učo 491246. Changed: 18/1/2023 16:10.
Abstract
Taking mathematics as a language based on empirical experience, I argue for an account of mathematics in which its objects are abstracta that describe and communicate the structure of reality based on some of our ancestral interactions with their environment. I argue that mathematics as a language is mostly invented. Nonetheless, in being a general description of reality it cannot be said that it is fictional; and as an intersubjective reality, mathematical objects can exist independent of any one person’s mind.
Links
GA19-16680S, research and development projectName: Paradigmatické myšlení: singularita, universalita, sebe-reference (Acronym: Paradigmatic thinking)
Investor: Czech Science Foundation
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