Matematiksel ontoloji matematiksel objektivitenin kaynağı sorusu


Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Felsefe Bölümü, Türkiye

Tezin Onay Tarihi: 2019

Öğrenci: Omid Dorrikhteh

Danışman: DAVİD GRÜNBERG

Özet:

This thesis traces the source of mathematical objectivity, as an approach to justify mathematical properties to be real, through how our mind and language were evolved. In the mirror of the indispensability argument, and the unreasonable effectiveness of mathematics, it will be argued that the reason why the world and the mind exhibit ontologically similar structures (and properties) is because they have the same ontological origin. Accordingly, it will be shown that (1) why/how that “the world and the mind have the same ontological origin” explains “the world and the mind exhibit ontologically similar structures (and properties)” And (2) to bring out the self-evidence of the sameness of the ontological origin.