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Postulational Methods. I

Bibliographic Data

ID10705274
AuthorsLouis Osgood Kattsoff
Year1935
Volume2
Issue2
Pages139-163
Publication date1935-04-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePhilosophy of Science (JOURNAL)
Journal identifiersISSN: 0031-8248 • E-ISSN: 1539-767X
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1086/286361
OpenAlexW2093256648
LanguageEN
Citations received2

The keynote of our investigation is suggested by a remark made by Enriques, “the young student of mathematics would indeed look in vain to the classical logic into which he was initiated for an adequate conception of the structure of a deductive science like Geometry let alone for an explanation of the value and meaning of the principles of such a discipline. What are axioms, postulates, definitions? What place do they occupy in the edifice of the theory? What criteria determine their choice and how can we establish whether they are acceptable or not?” These are in general the questions we shall seek to answer in part and then we shall make a special analysis of two of the criteria determining the choice of the axioms

Axiom · Calculus (dental) · Epistemology · Foundations of mathematics · Geometry · Mathematical economics · Meaning (existential) · Value (mathematics) · History and Theory of Mathematics · Mathematics · Philosophy

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Unique citing works2
Citations per year0,17
Citation span2014 - 2017 (4)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 2

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