How effective indeed is present-day mathematics? | Zendy

Athanassios Tzouvaras | Zendy

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How effective indeed is present-day mathematics?

Author(s) -

Athanassios Tzouvaras

Publication year - 2006

Publication title -

logic and logical philosophy

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.416

H-Index - 10

eISSN - 2300-9802

pISSN - 1425-3305

DOI - 10.12775/llp.2006.008

Subject(s) - vagueness , meaning (existential) , subject (documents) , epistemology , mathematics education , set (abstract data type) , point (geometry) , mathematics , natural (archaeology) , natural science , mathematics subject classification , calculus (dental) , computer science , pure mathematics , philosophy , artificial intelligence , geometry , history , library science , programming language , fuzzy logic , medicine , archaeology , dentistry

We argue that E. Wigner’s well-known claim that mathematics is unreasonably effective in physics (and not in the natural sciences in general, as the title of his article suggests) is only one side of the hill. The other side is the surprising insufficiency of present-day mathematics to capture the uniformities that arise in science outside physics. We describe roughly what the situation is in the areas of (a) everyday reasoning, (b) theory of meaning and (c) vagueness. We make also the point that mathematics, as we know it today, founded on the concept of set, need not be a conceptually final and closed system, but only a stage in a developing subject.

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