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020 |a9789401593151|9978-94-015-9315-1
024 7 |a10.1007/978-94-015-9315-1|2doi
041 |aeng
049 |aTürk Tarih Kurumu Kütüphanesi
050 4|aQ174-175.3
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090 |aDK/9270
100 1 |aPlacek, Tomasz.|eauthor.|4aut|4http://id.loc.gov/vocabulary/relators/aut
245 10|aMathematical Intuitionism and Intersubjectivity|h[electronic resource] :|bA Critical Exposition of Arguments for Intuitionism /|cby Tomasz Placek.
250 |a1st ed. 1999.
264 1|aDordrecht :|bSpringer Netherlands :|bImprint: Springer,|c1999.
300 |aXII, 220 p.|bonline resource.
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
338 |aonline resource|bcr|2rdacarrier
347 |atext file|bPDF|2rda
490 1 |aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v279
505 0 |a1 Introduction -- 2 Brouwer’s Philosophy -- 3 Heyting’s Arguments -- 4 Dummett’s Case for Intuitionism -- 5 Conclusions -- Notes.
520 |aIn 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being. Brouwer attacked the main currents of the philosophy of mathematics: the formalists and the Platonists. In tum, both these schools began viewing intuitionism as the most harmful party among all known philosophies of mathematics. That was the origin of the now-90-year-old debate over intuitionism. As both sides have appealed in their arguments to philosophical propositions, the discussions have attracted the attention of philosophers as well. One might ask here what role a philosopher can play in controversies over mathematical intuitionism. Can he reasonably enter into disputes among mathematicians? I believe that these disputes call for intervention by a philo­ sopher. The three best-known arguments for intuitionism, those of Brouwer, Heyting and Dummett, are based on ontological and epistemological claims, or appeal to theses that properly belong to a theory of meaning. Those lines of argument should be investigated in order to find what their assumptions are, whether intuitionistic consequences really follow from those assumptions, and finally, whether the premises are sound and not absurd. The intention of this book is thus to consider seriously the arguments of mathematicians, even if philosophy was not their main field of interest. There is little sense in disputing whether what mathematicians said about the objectivity and reality of mathematical facts belongs to philosophy, or not.
532 8 |aAccessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format.
532 8 |aInaccessible, or known limited accessibility
532 8 |aNo reading system accessibility options actively disabled
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650 0|aScience|xPhilosophy.
650 0|aMathematics.
650 0|aHistory.
650 0|aLogic.
650 0|aMathematical logic.
650 0|aKnowledge, Theory of.
650 14|aPhilosophy of Science.
650 24|aHistory of Mathematical Sciences.
650 24|aLogic.
650 24|aMathematical Logic and Foundations.
650 24|aEpistemology.
710 2 |aSpringerLink (Online service)
773 0 |tSpringer Nature eBook
776 08|iPrinted edition:|z9780792356301
776 08|iPrinted edition:|z9789048151875
776 08|iPrinted edition:|z9789401593168
830 0|aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v279
856 40|uhttps://doi.org/10.1007/978-94-015-9315-1
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950 |aHumanities, Social Sciences and Law (SpringerNature-11648)
950 |aPhilosophy and Religion (R0) (SpringerNature-43725)