MEASURING THE SIZE OF INFINITE COLLECTIONS OF NATURAL NUMBERS: WAS CANTOR’S THEORY OF INFINITE NUMBER INEVITABLE?

DOI10.1017/S1755020309990128zbMath1204.03003WikidataQ114826162 ScholiaQ114826162MaRDI QIDQ5850982

Paolo Mancosu

Publication date: 21 January 2010

Published in: The Review of Symbolic Logic (Search for Journal in Brave)

zbMATH Keywords

philosophy of mathematicscardinal numberspart-whole principleCantor's theory

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 20th century (01A60) Philosophical and critical aspects of logic and foundations (03A05) History of mathematical logic and foundations (03-03) Ordinal and cardinal numbers (03E10)

Related Items (15)

BOLZANO’S MATHEMATICAL INFINITE ⋮ Some paradoxes of infinity revisited ⋮ Ten misconceptions from the history of analysis and their debunking ⋮ EUCLIDEAN NUMBERS AND NUMEROSITIES ⋮ 19th-century real analysis, forward and backward ⋮ Fair infinite lotteries ⋮ Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond ⋮ SET SIZE AND THE PART–WHOLE PRINCIPLE ⋮ Almost Equal: the Method of Adequality from Diophantus to Fermat and Beyond ⋮ Bolzano's infinite quantities ⋮ Size and function ⋮ The paradox of phase transitions in the light of constructive mathematics ⋮ THE LOGIC OF COMPARATIVE CARDINALITY ⋮ IN GOOD COMPANY? ON HUME’S PRINCIPLE AND THE ASSIGNMENT OF NUMBERS TO INFINITE CONCEPTS ⋮ Naive infinitism: the case for an inconsistency approach to infinite collections

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