Mathematicians and scientists have vague folk theories of what math and science are that both are blurred ancestral memories of pre-WWII logical positivism.
These theories are totally wrong, but do little *direct* harm because they are mainly ignored in practice.
-
-
"Of course we know how to do mathematics! We are mathematicians!" But there's good evidence you don't, and so you can't teach it clearly, and you can't reflect on whether you are doing it well or badly. https://personalpages.manchester.ac.uk/staff/hung.bui/ideal.pdf …pic.twitter.com/YsL16YdGVe
Show this thread -
A better understanding of what math is and how we do it might improve the rate at which mathematical understanding increases, its dissemination to other fields, and its relevance and usefulness.pic.twitter.com/POO3njXgfj
Show this thread -
OK, maybe mathematics DOES have a broad replicability problem! Seemingly strong evidence and arguments from
@XenaProject, whose post I tweeted yesterday. Great slides! (h/t@vonbladet,@aelkus) (“Seemingly”: I’m not qualified to have an opinion here) http://www.andrew.cmu.edu/user/avigad/meetings/fomm2020/slides/fomm_buzzard.pdf …pic.twitter.com/UDQLsKoph3
Show this thread
End of conversation
New conversation -
-
-
Just remembered that
@drossbucket put me onto this paper (“The Ideal Mathematician”); I should have h/t’d her earlier!Show this threadThanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
I recently attended a talk from a pure Mathematician - he said ever larger chunks of Mathematics are no being proven formally because the proof is so long people aren't prepared to put the years in to solve because everybody "knows" it's true and hence no career progression...
-
That’s now how it should work…!
- 1 more reply
New conversation -
-
-
Most modern mathematicians make a mockery of rigor. They focus on logical rigor, but ignore entirely semantic rigor. They feel free to alter definitions of key so-called "atomic" terms midway through an argument. Nothing is defined clearly enough: number, point, function, etc.
-
At the risk of coughing even more heretical claims onto this thread, here's a good thread to pull on:https://youtu.be/REeaT2mWj6Y
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.