000			03718nam a22005295i 4500
001			978-1-4020-3335-3
003			DE-He213
005			20251006084454.0
007			cr nn 008mamaa
008			100301s2005 ne | s |||| 0|eng d
020			_a9781402033353
020			_a99781402033353
024	7		_a10.1007/1-4020-3335-4 _2doi
082	0	4	_a510 _223
100	1		_aMancosu, Paolo. _eeditor.
245	1	0	_aVisualization, Explanation and Reasoning Styles in Mathematics _h[electronic resource] / _cedited by Paolo Mancosu, Klaus Frovin Jørgensen, Stig Andur Pedersen.
264		1	_aDordrecht : _bSpringer Netherlands, _c2005.
300			_aX, 300 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 ; _v327
505	0		_aMathematical Reasoning and Visualization -- Visualization in Logic and Mathematics -- From Symmetry Perception to Basic Geometry -- Naturalism, Pictures, and Platonic Intuitions -- Mathematical Activity -- Mathematical Explanation and Proof Styles -- Tertium Non Datur: On Reasoning Styles in Early Mathematics -- The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento -- Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice -- The Varieties of Mathematical Explanation -- The Aesthetics of Mathematics: A Study.
520			_aThis book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity? What are the different epistemic virtues (explanatoriness, understanding, visualizability, etc.) which are pursued and cherished by mathematicians in their work? The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis.
650		0	_aMATHEMATICS.
650		0	_aSCIENCE _xPHILOSOPHY.
650		0	_aVISUALIZATION.
650		0	_aMATHEMATICS_{DOLLAR}XHISTORY.
650		0	_aLOGIC, SYMBOLIC AND MATHEMATICAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aMATHEMATICS, GENERAL.
650	2	4	_aVISUALIZATION.
650	2	4	_aHISTORY OF MATHEMATICS.
650	2	4	_aMATHEMATICAL LOGIC AND FOUNDATIONS.
650	2	4	_aPHILOSOPHY OF SCIENCE.
700	1		_aJørgensen, Klaus Frovin. _eeditor.
700	1		_aPedersen, Stig Andur. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402033346
830		0	_aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; _v327
856	4	0	_uhttp://dx.doi.org/10.1007/1-4020-3335-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c60418 _d60418