Mathematical ontology the question of the mathematical source of objectivity

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2019

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Dorrikhteh, Omid

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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.

Subject Keywords

Mathematics, Mathematics Philosophy., Indispensability Argument, the Unreasonable Effectiveness of Mathematics, Mind, Realism, the Unreasonable Effectiveness of the language

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http://etd.lib.metu.edu.tr/upload/12623596/index.pdf
https://hdl.handle.net/11511/43713

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Graduate School of Social Sciences, Thesis

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Citation Formats

O. Dorrikhteh, “Mathematical ontology the question of the mathematical source of objectivity,” Thesis (M.S.) -- Graduate School of Social Sciences. Philosophy., Middle East Technical University, 2019.