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...hy of mathematics]], [[Metaphysics]], [[Analytic Philosophy|Early Analytic Philosophy]] (especially [[Gottlob Frege|Frege]] and [[Ludwig Wittgenstein|Wittgenstei '''Kai Frederick Wehmeier''' (born 1968) is a German-American [[philosophy|philosopher]] and [[logic]]ian. ...

{{Short description|Argument in philosophy of mathematics}} ...of mathematics)|mathematical structuralism]].<ref>Stewart Shapiro (1997) ''Philosophy of Mathematics: Structure and Ontology'' New York: Oxford University Press, ...

{{See also|Identity of indiscernibles#Indiscernibility of identicals}} ...& Uri Nodelman (eds.), forthcoming URL: https://plato.stanford.edu/entries/identity-relative/#StanAccoIden</ref> ...

...formationphilosopher.com/solutions/philosophers/marcus/Barcan_Identity.pdf Identity of Individuals in a Strict Functional Calculus of Second Order]’, ''Journal The derivation in Kripke's 'Identity and Necessity' is in three steps: ...

...sier,<ref name=Koetsier>{{citation|first=Teun|last=Koetsier|title=Lakatos' philosophy of mathematics: A historical approach|publisher=North-Holland|year=1991|pag for <math>0<x<\pi</math>. He first evaluated the identity ...

...Degen was made a [[Doctor of Philosophy]] based on a thesis on [[Kant]]'s philosophy<ref name=Stubhaug>A. Stubhaug, ''Niels Henrik Abel and his Times'', Spring ===The eight-square identity=== ...

...n, James Robert. ''[https://books.google.com/books?id=fmXR2P0Ta7AC&pg=PA27 Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures]''. Unite * [[Euler's identity]] <math>e^{i \pi} = -1</math> is a special case of [[Euler's formula]] whic ...

...s of '''ST''' are of two forms, <math>x=y</math> ([[identity (mathematics)|identity]]) and <math>y\in x'</math>. The infix-operator symbol <math>\in</math> sug All variables appearing in the definition of identity and in the axioms ''Extensionality'' and ''Comprehension'', range over indi ...

...of extensionality]] and identity is absent from the other '''S''' axioms. Identity does appear in the axiom schema distinguishing '''S+''' from '''S''',<ref>B * {{Citation |last=Potter |first=Michael |title=Set Theory and Its Philosophy |publisher=Oxford University Press |year=2004 |isbn=9780199269730}}. ...

...ref>{{Cite web |title=Mathwords: Identity |url=https://www.mathwords.com/i/identity.htm |access-date=2019-12-01 |website=www.mathwords.com}}</ref> Mathematical Geometrically, [[trigonometric identity|trigonometric identities]] are identities involving certain functions of on ...

....pitt.edu/2703/1/reconstruction2.pdf|journal=[[The British Journal for the Philosophy of Science]]|volume=58|issue=3|pages=387–408|doi=10.1093/bjps/axm028|issn=0 ...\mathbb K </math> -linear in left (or in the right) entry, satisfying the identity ...

...|last1=Bunnin |first1=Nicholas |title=The Blackwell dictionary of Western philosophy |last2=Yu |first2=Jiyuan |date=2004 |publisher=Blackwell Pub |isbn=978-1-40 ...te=2020 |publisher=Wiley-Blackwell |isbn=978-1-118-40078-4 |series=This is philosophy |location=Hoboken, New Jersey |pages=103}}</ref> Also called "{{glossary li ...

...It has applications in [[ranking]], in [[recommendation systems]], visual identity tracking, face verification, and speaker verification. ...equality). In practice, metric learning algorithms ignore the condition of identity of indiscernibles and learn a pseudo-metric. ...

...(or '''visual proof''') is an illustration of an [[identity (mathematics)|identity]] or mathematical statement which can be demonstrated as [[self-evident]] b * {{annotated link|Philosophy of mathematics}} ...

...-functional Analysis and the Origin of the Truth Table|journal=History and Philosophy of Logic|date=2012|volume=33|pages=87–97|doi=10.1080/01445340.2011.621702|s ...he composition of Peirce's "On the Algebra of Logic: A Contribution to the Philosophy of Notation" that appeared in the ''[[American Journal of Mathematics]]'' i ...

...ogle.com/books?id=wPhwJdjI-dIC&q=Proof+and+other+dilemmas:+mathematics+and+philosophy}}</ref> ...direct bearing on statistical proof and its interpretations in the broader philosophy of science.<ref name="Gold08" /><ref name="Gattei08">{{cite book | title=Th ...

| caption = Picture of Gisbert Hasenjaeger in his identity papers during his time at [[Oberkommando der Wehrmacht Chiffrierabteilung|O ...eorem|Gödel's completeness]] [[theorem]] for full [[predicate logic]] with identity and function symbols.<ref name="Enc" /> Gödel's proof of 1930 for predicate ...

...l logic differently or not at all. [[Metalogic]] is closely related to the philosophy of logic as the discipline investigating the properties of formal logical s ...r logics have been developed in the 20th century and it is the task of the philosophy of logic to classify them, to show how they are related to each other, and ...

...> If continuous translation operation is considering as [[identity element|identity]], these groups transform to magnetic [[point group]]s. It was shown<ref na ...the [[multiferroic]] domain walls have been proven using [[phenomenology (philosophy)|phenomenology]] coupling via [[magnetization]]<ref name="Tanygin2011">{{ci ...

...ial+failure%22|title=Cult Film as a Guide to Life: Fandom, Adaptation, and Identity|date=2016-09-08|publisher=Bloomsbury Publishing USA|isbn=978-1-62356-897-9| == In philosophy of science == ...