The fact that it is hard to be rationally discursive about mathematical understanding was already familiar in antiquity, if we are to trust Hannah Arendt. In The Human Condition (1958), she cites Aristotle’s Nicomachean Ethics to defend her claim that the “chief characteristic” of νοῦς “is that its contents cannot be rendered in speech.” But when you dig through the mutually incompatible translations of that passage in Aristotle, you find that he illustrates this elusive quality of νοῦς by comparing it to the immediate perception of a triangle—the paradigm of a mathematician’s understanding, not accessible to ratio, or what the Greeks called λογος.
Knowledge Collapse - Boston Review
So that slippery ratio between means and ends eluded us then. But that's no matter. Tomorrow we'll run faster. Stretch out our arms further.
LANGLANDS and the FLYSPECK PROJECT
Thomas Callister Hales - Wikipedia
Ray Kurzweil himself has advanced some of his predictions, or at least nudged them along a bit.
And in 2019 Christian Szegedy, then at Google, predicted a superhuman mathematician would emerge by 2029
When the facts change (harrumph )I change my mind ( harrumph.) What do you do sir Harrumph?
Some of these problems in demonstrating a proof are seriously embodied in the ABC conjecture
No comments:
Post a Comment