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176097

Gödel incompleteness and the empirical sciences

Francisco Antonio Doria

pp. 443-460

Abstract

We show how widespread are metamathematical phenomena in mathematics and in the sciences which rely on mathematics. We will consider specific examples of undecidable sentences in mathematics, physics and economics. Our presentation is informal; rigorous developments can be found in the references.

Publication details

Published in:

Wuppuluri Shyam, Ghirardi Giancarlo (2017) Space, time and the limits of human understanding. Dordrecht, Springer.

Pages: 443-460

DOI: 10.1007/978-3-319-44418-5_35

Full citation:

Doria Francisco Antonio (2017) „Gödel incompleteness and the empirical sciences“, In: S. Wuppuluri & G. Ghirardi (eds.), Space, time and the limits of human understanding, Dordrecht, Springer, 443–460.