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The forgotten mathematical legacy of Peano

Volume 537 / 2019

Szymon Dolecki, Gabriele H. Greco Dissertationes Mathematicae 537 (2019), 1-77 MSC: Primary 01A55, 01A60,03-03, 26-03, 28-03, 34-03, 54-03; Secondary15A75, 26A03, 26A24,26B25, 26B05, 28A12,28A15, 28A75. DOI: 10.4064/dm769-4-2018 Published online: 28 February 2019

Abstract

The formulations that Peano gave to many mathematical notions at the end of the 19th century were so perfect and modern that they have become standard today. A formal language of logic that he created, enabled him to perceive mathematics with great precision and depth. He described mathematics axiomatically basing the reasoning exclusively on logical and set-theoretical primitive terms and properties, which was revolutionary at that time. Yet, numerous Peano’s contributions remain either unremembered or underestimated.

Authors

  • Szymon DoleckiInstitut de Mathématiques de Bourgogne
    Université de Bourgogne et Franche-Comté
    B.P. 47870, 21078 Dijon, France
    e-mail
  • Gabriele H. GrecoVia Cesarini 27/2
    I-38121 Trento, Italy
    e-mail

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