About: Pluralism in geometry

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This article is concerned with the topics stemming from the problems with interpreting the devolopment of geometry in the nineteenth and early twentieth century. The emerging of hyperbolic and eliptic systems as alternatives to the classical Euclid's one posed a serious challenge to the opinions about geometry of that time, particularly to the stances of Kant, ho ascribed to the whole body of mathematics the status of synthetic apriori. I want to discuss to what degree the Kantian position may be defended and what should be changed in it. The relation with the development of modern logic is also hinted, particularly when dealing with the debate between Frege and Hilbert. Thus the problems of philosophy of geometry flow into broader issues about logic and mathematic knowledge and ultimately about the possibility and character of a priori knowledge in general. This article is concerned with the topics stemming from the problems with interpreting the devolopment of geometry in the nineteenth and early twentieth century. The emerging of hyperbolic and eliptic systems as alternatives to the classical Euclid's one posed a serious challenge to the opinions about geometry of that time, particularly to the stances of Kant, ho ascribed to the whole body of mathematics the status of synthetic apriori. I want to discuss to what degree the Kantian position may be defended and what should be changed in it. The relation with the development of modern logic is also hinted, particularly when dealing with the debate between Frege and Hilbert. Thus the problems of philosophy of geometry flow into broader issues about logic and mathematic knowledge and ultimately about the possibility and character of a priori knowledge in general. (en)
Title	Pluralism in geometry Pluralism in geometry (en)
skos:prefLabel	Pluralism in geometry Pluralism in geometry (en)
skos:notation	RIV/00216208:11210/13:10173530!RIV14-MSM-11210___
http://linked.open...avai/predkladatel	Filozofická fakulta
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Arazim, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Filozofická fakulta
http://linked.open...dnocenehoVysledku	96513
http://linked.open...ai/riv/idVysledku	RIV/00216208:11210/13:10173530
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	logic; experience; holism; structuralism; pluralism; geometry (en)
http://linked.open.../riv/klicoveSlovo	pluralism holism experience geometry structuralism logic
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[229D5E3D1774]
http://linked.open...i/riv/nazevZdroje	Acta Universitatis Carolinae. Philosophica et Historica
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	2010
http://linked.open...iv/tvurceVysledku	Arazim, Pavel
issn	0567-8293
number of pages	15 (xsd:int)
http://localhost/t...ganizacniJednotka	11210

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