18
votes
Accepted
How did the shift from constructed mathematical objects to modern mathematics occur?
TL;DR It is important to distinguish different senses of "constructiveness", the technical one, as in constructivism, and the one of approach to mathematics as primarily problem-solving. ...
- 73.2k
9
votes
How did the shift from constructed mathematical objects to modern mathematics occur?
This change apparently occurred in the middle of 19th century.
Let me cite Carl Ludwig Siegel about it:
It is completely clear to me which conditions caused the gradual decadence of mathematics, from ...
- 47.5k
6
votes
Accepted
Has Penrose ever acknowledged criticism of the Penrose-Lucas argument?
Penrose responded to various commentaries made regarding his 1994 book "Shadows of the Mind" in his Beyond the Doubting of a Shadow. I never spent much time reading over this since my ...
- 1,443
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