| 
|
QuoteRef: daviPJ_1981
topics >
all references >
ThesaHelp:
references c-d
Group:
philosophy of mathematics
Topic:
science as mathematics
Topic:
mathematical proof
Topic:
problems with analytic truth
Topic:
abstraction
Reference
Davis, P.J., Hersh, R., The Mathematical Experience, Boston, Houghton Mifflin, 1981. Google
399 ;;Quote: in the realm of ideas, the reproducible ideas are mathematical objects; similar to science being about reproducible, physical results
406 ;;Quote: even though formalism, platonism, and constructivism treat mathematics as indubitable truth, mathematical truth is fallible and corrigible
406 ;;Quote: the essence of mathematics is freedom to construct and make assumption; then these constructions impose their order on us
409 ;;Quote: mathematics is an objective, ideal reality that is neither subjective nor physical
ThesaHelp: references c-d (337 items)
Group: philosophy of mathematics (11 topics, 330 quotes)
Topic: science as mathematics (26 items)
Topic: mathematical proof (23 items)
Topic: problems with analytic truth (20 items)
Topic: abstraction (62 items)