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WHY 2+2=4?

BORAN BERČIĆ


Puni tekst: hrvatski pdf 116 Kb

str. 945-961

preuzimanja: 2.266

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Sažetak

The starting point of this article is the ontological question: What makes it true that 2+2=4?, that is, what are the truth makers of mathematical propositions? Of course, the satisfactory theory in the philosophy of mathematics has to answer semantical question: What are mathematical propositions about? Also, epistemological question: How do we know them?, as well. Author compares five theories in the philosophy of mathematics, that is, five accounts of the nature of truth makers in mathematical discourse: fictionalism (there are no truth makers because entities of mathematics are fictions, though useful fictions); nominalism (mathematical propositions are true by definition, so the truth makers are in the language); physicalism (mathematical propositions are inductive generalizations from experience, so, the truth makers are physical facts in the world); conceptualism (mathematics reflects the way we think about things, so, the truth makers are ultimately psychological facts) and Platonism (mathematics is about per se existing mathematical reality).

Ključne riječi

Hrčak ID:

2468

URI

https://hrcak.srce.hr/2468

Datum izdavanja:

15.12.2005.

Podaci na drugim jezicima: hrvatski

Posjeta: 3.932 *