000			01957nam a2200241Ia 4500
003			OSt
005			20250617122349.0
008			220926b |||||||| |||| 00| 0 eng d
037			_cReference
040			_aRTL _cRTL _beng
041			_2eng _aeng
084			_aB:(R1) K8/SC _qRTL
100			_aKac, Mark _9371229
245		0	_aMathematics and logic: Retrospect and prospects
260			_aNew York _b Frederick A. Praeger _c1968
300			_aix,170 p. _ccm. _bIncludes bibliographical references and index
520			_aWhat is mathematics? How was it created and who were and are the people creating and practicing it? Can one describe its development and role in the history of scientific thinking and can one predict the future? This book is a thought-provoking attempt to answer such questions and to suggest the scope and depth of the subject.The volume begins with a discussion of problems involving integers in which ideas of infinity appear and proceeds through the evolution of more abstract ideas about numbers and geometrical objects. The authors show how mathematicians came to consider groups of general transformations and then, looking upon the sets of such subjects as spaces, how they attempted to build theories of structures in general. Also considered here are the relations between mathematics and the empirical disciplines, the profound effect of high-speed computers on the scope of mathematical experimentation, and the question of how much mathematical progress depends on "invention" and how much on "discovery." For mathematicians, physicists, or any student of the evolution of mathematical thought, this highly regarded study offers a stimulating investigation of the essential nature of mathematics.
650			_aMathematics
650			_aMathematics- Logic _9812998
700			_a Ulam, Stanislaw M. _9371230 _eCo-author
942			_hB:(R1) K8/SC _cREF _2CC _n0
999			_c691452 _d691452