The Formation of Modern Conceptions of Formal Logic in the Development of Geometry
1939; University of Chicago Press; Volume: 7; Linguagem: Inglês
10.1086/368504
ISSN1933-8287
Autores Tópico(s)Advanced Theoretical and Applied Studies in Material Sciences and Geometry
ResumoPrevious articleNext article No AccessThe Formation of Modern Conceptions of Formal Logic in the Development of GeometryErnest NagelErnest NagelPDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by Osiris Volume 71939 Published for the History of Science Society Article DOIhttps://doi.org/10.1086/368504 Views: 23Total views on this site Citations: 48Citations are reported from Crossref PDF download Crossref reports the following articles citing this article:Gabriel Catren, Fernando Cukierman Grothendieck's theory of schemes and the algebra–geometry duality, Synthese 200, no.33 (May 2022).https://doi.org/10.1007/s11229-022-03675-1Jemma Lorenat An Okapi Hypothesis: Non-Euclidean Geometry and the Professional Expert in American Mathematics, Isis 113, no.11 (Mar 2022): 85–107.https://doi.org/10.1086/718326Günther Eder Frege on intuition and objecthood in projective geometry, Synthese 199, no.3-43-4 (Mar 2021): 6523–6561.https://doi.org/10.1007/s11229-021-03080-0GÜNTHER EDER PROJECTIVE DUALITY AND THE RISE OF MODERN LOGIC, The Bulletin of Symbolic Logic 27, no.44 (Jul 2021): 351–384.https://doi.org/10.1017/bsl.2021.40Günther Eder Frege and the origins of model theory in nineteenth century geometry, Synthese 198, no.66 (Oct 2019): 5547–5575.https://doi.org/10.1007/s11229-019-02421-4Derek Egan Anderson Model-Theoretic Semantics for Politically Contested Terminology, (Sep 2021): 67–101.https://doi.org/10.1007/978-3-030-73339-1_5Geoffrey Hellman, Stewart Shapiro Mathematical Structuralism, 15 (Dec 2018).https://doi.org/10.1017/9781108582933GÜNTHER EDER, GEORG SCHIEMER HILBERT, DUALITY, AND THE GEOMETRICAL ROOTS OF MODEL THEORY, The Review of Symbolic Logic 11, no.0101 (Dec 2017): 48–86.https://doi.org/10.1017/S1755020317000260David Corfield Duality as a category-theoretic concept, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59 (Aug 2017): 55–61.https://doi.org/10.1016/j.shpsb.2015.07.004Elena Castellani, Dean Rickles Introduction to special issue on dualities, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59 (Aug 2017): 1–5.https://doi.org/10.1016/j.shpsb.2016.10.004Paul Ziche Theories of Order in Carnap's Aufbau, (Jan 2016): 77–97.https://doi.org/10.1007/978-3-319-21876-2_5Eduardo N. Giovannini Bridging the gap between analytic and synthetic geometry: Hilbert's axiomatic approach, Synthese 193, no.11 (Apr 2015): 31–70.https://doi.org/10.1007/s11229-015-0743-zArnold Koslow Implicit Definitions, Second-Order Quantifiers, and the Robustness of the Logical Operators, (Jan 2015): 31–49.https://doi.org/10.1007/978-3-319-18362-6_3Ralf Krömer, David Corfield The Form and Function of Duality in Modern Mathematics, Philosophia Scientae , no.18-318-3 (Oct 2014): 95–109.https://doi.org/10.4000/philosophiascientiae.976I. Grattan-Guinness Omnipresence, Multipresence and Ubiquity: Kinds of Generality in and Around Mathematics and Logics, Logica Universalis 5, no.11 (Jan 2011): 21–73.https://doi.org/10.1007/s11787-010-0023-0Victor Pambuccian The axiomatics of ordered geometry, Expositiones Mathematicae 29, no.11 (Jan 2011): 24–66.https://doi.org/10.1016/j.exmath.2010.09.004DIRK SCHLIMM PASCH'S PHILOSOPHY OF MATHEMATICS, The Review of Symbolic Logic 3, no.11 (Jan 2010): 93–118.https://doi.org/10.1017/S1755020309990311Robert W. Batterman On the Explanatory Role of Mathematics in Empirical Science, The British Journal for the Philosophy of Science 61, no.11 (Dec 2020): 1–25.https://doi.org/10.1093/bjps/axp018Françoise Balibar Les mathématiques ou la liberté d'assigner la vérité, Critique n° 755, no.44 (Jan 2010): 306.https://doi.org/10.3917/criti.755.0306Katherine Dunlop Why Euclid's geometry brooked no doubt: J. H. Lambert on certainty and the existence of models, Synthese 167, no.11 (Dec 2007): 33–65.https://doi.org/10.1007/s11229-007-9277-3David J. Stump The independence of the parallel postulate and development of rigorous consistency proofs, History and Philosophy of Logic 28, no.11 (Feb 2007): 19–30.https://doi.org/10.1080/01445340600758800Elena Anne Corie Marchisotto The projective geometry of Mario Pieri: A legacy of Georg Karl Christian von Staudt, Historia Mathematica 33, no.33 (Aug 2006): 277–314.https://doi.org/10.1016/j.hm.2005.08.002Patrick Suppes The pre-history of Kenneth Arrow's social choice and individual values, Social Choice and Welfare 25, no.2-32-3 (Sep 2005): 319–326.https://doi.org/10.1007/s00355-005-0006-xSébastien Gandon Pasch entre Klein et Peano: empirisme et idéalité en géométrie, Dialogue 44, no.44 (Apr 2009): 653–692.https://doi.org/10.1017/S0012217300000032Victor Sánchez Valencia The Algebra of Logic, (Jan 2004): 389–544.https://doi.org/10.1016/S1874-5857(04)80020-7Thomas Baldwin The Cambridge History of Philosophy 1870–1945, 1 (Mar 2008).https://doi.org/10.1017/CHOL9780521591041Michael Hallett Foundations of mathematics, (Nov 2003): 128–156.https://doi.org/10.1017/CHOL9780521591041.012Jeremy Gray Years ago, The Mathematical Intelligencer 20, no.22 (Jan 2009): 54–59.https://doi.org/10.1007/BF03025299Leo Corry David Hilbert and the axiomatization of physics (1894?1905), Archive for History of Exact Sciences 51, no.22 (Jan 1997): 83–198.https://doi.org/10.1007/BF00375141Ole Immanuel Franksen Invariance under Nesting — An Aspect of Array-Based Logic with Relation to Grassmann and Peirce, (Jan 1996): 303–335.https://doi.org/10.1007/978-94-015-8753-2_26E. M. Barth Logical Intention and Comparative Principles of Empirical Logic, (Jan 1994): 209–224.https://doi.org/10.1007/978-94-015-8252-0_20Eduard Glas Mathematical progress: Between reason and society, Journal for General Philosophy of Science 24, no.22 (Sep 1993): 235–256.https://doi.org/10.1007/BF00764388Henk J. M. Bos ?The bond with reality is cut? ? Freudenthal on the foundations of geometry around 1900, Educational Studies in Mathematics 25, no.1-21-2 (Mar 1993): 51–58.https://doi.org/10.1007/BF01274101Henk J. M. Bos 'The Bond with Reality is Cut' — Freudenthal on the Foundations of Geometry Around 1900, (Jan 1993): 51–58.https://doi.org/10.1007/978-94-017-3377-9_3Patrick Suppes Axiomatic Methods in Science, (Jan 1992): 205–232.https://doi.org/10.1007/978-94-011-2779-0_12David Stump Henri Poincaré's philosophy of science, Studies in History and Philosophy of Science Part A 20, no.33 (Sep 1989): 335–363.https://doi.org/10.1016/0039-3681(89)90011-3Eduard Glas Testing the philosophy of mathematics in the history of mathematics, Studies in History and Philosophy of Science Part A 20, no.22 (Jun 1989): 157–174.https://doi.org/10.1016/0039-3681(89)90001-0 Über die entstehung von David Hilberts "Grundlagen der geometrie", Historia Mathematica 15, no.22 (May 1988): 181–183.https://doi.org/10.1016/0315-0860(88)90015-8Patrick Suppes Philosophical implications of Tarski's work, Journal of Symbolic Logic 53, no.11 (Mar 2014): 80–91.https://doi.org/10.1017/S0022481200028930Joan L. Richards Projective geometry and mathematical progress in mid-Victorian Britain, Studies in History and Philosophy of Science Part A 17, no.33 (Sep 1986): 297–325.https://doi.org/10.1016/0039-3681(86)90011-7Albert C. Lewis H. Grassmann's 1844 Ausdehnungslehre and Schleiermacher's Dialektik, Annals of Science 34, no.22 (Aug 2006): 103–162.https://doi.org/10.1080/00033797700200171J. J. Gray Poincaré and Klein — groups and geometries, (): 35–44.https://doi.org/10.1007/3-540-55408-4_51Hourya Sinaceur De la Géométrie Formelle à l'Algèbre Abstraite, (): 165–174.https://doi.org/10.1007/3-540-55408-4_60Robert Disalle Mathematical Structure, "World Structure," and the Philosophical Turning-Point in Modern Physics, (): 207–230.https://doi.org/10.1007/978-1-4020-5195-1_7Rulon Wells Distinctively human semiotic, Social Science Information 6, no.66 (Sep 2016): 103–124.https://doi.org/10.1177/053901846700600609R. L. Wilder The Role of the Axiomatic Method, The American Mathematical Monthly 74, no.22 (Apr 2018): 115–127.https://doi.org/10.1080/00029890.1967.11999930 Bibliography, (Jan 1958): 382–393.https://doi.org/10.1016/S0049-237X(08)72039-1 Bibliography, (Jan 1953): 343–474.https://doi.org/10.1016/S0049-237X(09)70115-6
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