The forgotten mathematical legacy of Peano
Volume 537 / 2019
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.
