Natural and formal infinities

作者: David Tall

DOI: 10.1023/A:1016000710038

关键词: MathematicsFormal relationshipsFormal scienceFormal systemFormal proofFormal derivativeObject languageFormal languageAlgebraFormal epistemology

摘要: … , embodied meanings are at the root of mathematics. However, a formal system may have more than one particular embodiment. In … , it is still imagination, but imagination founded on the …

参考文章(27)
David Tall, Looking at Graphs through Infinitesimal Microscopes, Windows and Telescopes The Mathematical Gazette. ,vol. 64, pp. 22- ,(1980) , 10.2307/3615886
David Tall, Márcia Maria Fusaro Pinto, Student constructions of formal theory: giving and extracting meaning ,(1999)
George Lakoff, Women, Fire, and Dangerous Things ,(1987)
Janet M. Duffin, Adrian P. Simpson, Natural, Conflicting and Alien. The Journal of Mathematical Behavior. ,vol. 12, ,(1993)
George Lakoff, Rafael E. Núñez, Where Mathematics Comes From ,(2000)
David Orme Tall, Advanced Mathematical Thinking ,(1994)
Israel Kleiner, HISTORY OF THE INFINITELY SMALL AND THE INFINITELY LARGE IN CALCULUS Educational Studies in Mathematics. ,vol. 48, pp. 137- 174 ,(2001) , 10.1023/A:1016090528065