Mathematics as a Cultural System
Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a f ...
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The nature of Culture and Cultural Systems
Evolution of a cultural artifact
The things that make up a culture
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19th century abstraction acceptance achieve algebra algebraic topology already analysis analytic apparently applications axioms basis become called capacity century Chapter cited classical complex concepts concerning considered consolidation constitutes continued contributions course created cultural system Desargues diffusion discovery discussion early effect elements environmental especially Euclidean evolution evolved example existence extended fact factors field followed forces function geometry given greater Greek growth hereditary stress ideas important individual infinite influence instance interest introduced intuition invention involved knowledge known later logic mathematical culture mathematicians means mentioned methods natural needs observed occur operations original particular patterns period phenomenon philosophy physics possible present problems projective geometry proof proved question recognized referred regarding remarks result seems selection sets significance similar social solution status symbols term theorems theory topology true United usually vector