Encyclopedia of Sciences and Religions

2013 Edition
| Editors: Anne L. C. Runehov, Lluis Oviedo

Mathematics, Formal and Contemporary

  • Javier Leach
Reference work entry
DOI: https://doi.org/10.1007/978-1-4020-8265-8_1272

Related Terms

 Arithmetic

One feature that characterizes this epoch of mathematics is the formalizationof mathematical language. The formalization had two important consequences, which influenced the global nature of mathematical and scientific knowledge.

The first consequence was the possibility to study the mathematical language with mathematical methods (Benacerraf and Putnam 1983). Just as mathematics proofs theorems about numbers, straight lines, planes, geometrical figures, and other mathematical objects, in this last epoch, mathematics has been able to proof theorems about the very language of mathematics and its meaning.

The second consequence of the formalization of mathematical language was the  automationof mathematical proofs. The automation of mathematics has brought the human mind next to the computer. Once formalized, the mathematical proofs can be translated into a programming language and be executed by computers.

Truth and Certainty in Formal Math

The formalization of...

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Facultad de Informática, Departamento de Sistemas Informáticos y ProgramaciónComplutense University of MadridMadridSpain