000 04102nam a22004575i 4500
001 978-1-4020-4040-5
003 DE-He213
005 20251006084503.0
007 cr nn 008mamaa
008 100301s2006 ne | s |||| 0|eng d
020 _a9781402040405
020 _a99781402040405
024 7 _a10.1007/1-4020-4040-7
_2doi
082 0 4 _a10
_223
100 1 _aCarson, Emily.
_eeditor.
245 1 0 _aIntuition and the Axiomatic Method
_h[electronic resource] /
_cedited by Emily Carson, Renate Huber.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2006.
300 _aXIII, 324 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aThe Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields,
_x1566-659X ;
_v70
505 0 _aMathematical Aspects -- Locke and Kant on Mathematical Knowledge -- The View from 1763: Kant on the Arithmetical Method Before Intuition -- The Relation of Logic and Intuition in Kant'S Philosophy of Science, Particularly Geometry -- Edmund Husserl on the Applicability of Formal Geometry -- The Neo-Fregean Program in the Philosophy of Arithmetic -- Gödel, Realism and Mathematical 'Intuition' -- Intuition, Objectivity and Structure -- Physical Aspects -- Intuition and Cosmology: The Puzzle of Incongruent Counterparts -- Conventionalism and Modern Physics: A Re-Assessment -- Intuition and the Axiomatic Method in Hilbert's Foundation of Physics -- Soft Axiomatisation: John von Neumann on Method and von Neumann's Method in the Physical Sciences -- The Intuitiveness and Truth of Modern Physics -- Functions of Intution in Quantum Physics -- Intuitive Cognition and the Formation of the Theories.
520 _aFollowing developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant's theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, Gödel, Poincaré, Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and they had very different accounts of what they called intuition. But they had in common that their views of mathematics and physics were significantly influenced by their readings of Kant. In the present volume, various views of intuition and the axiomatic method are explored, beginning with Kant's own approach. By way of these investigations, we hope to understand better the rationale behind Kant's theory of intuition, as well as to grasp many facets of the relations between theories of intuition and the axiomatic method, dealing with both their strengths and limitations; in short, the volume covers logical and non-logical, historical and systematic issues in both mathematics and physics.
650 0 _aPHILOSOPHY (GENERAL).
650 0 _aSCIENCE
_xPHILOSOPHY.
650 1 4 _aPHILOSOPHY.
650 2 4 _aPHILOSOPHY.
650 2 4 _aHISTORY OF PHILOSOPHY.
650 2 4 _aPHILOSOPHY OF SCIENCE.
700 1 _aHuber, Renate.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402040399
830 0 _aThe Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields,
_x1566-659X ;
_v70
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-4040-7
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SHU
942 _2ddc
_cER
999 _c60703
_d60703