That's what my philosophy prof told me in a senior-level class when I went to his office and complained that I was having real problems trying to unde...
“The Moving Finger writes; and, having writ, Moves on: nor all thy Piety nor Wit Shall lure it back to cancel half a Line, Nor all thy Tears wash out ...
Yes, I'm curious about this. In mathematics, academic institutions have a very powerful influence of what gets published in important journals. The re...
For me, this is a very interesting thread. It's more relevant to my own experiences as a math prof than other threads about mathematics, especially th...
There was a movie some time back in which the central character had no short-term memory, but solved some sort of mystery, taking copious notes contin...
I was speaking of completely automated proofs by computer programs. Formal mathematics is simply that employed by research math people these days. You...
Markus Gabriel: the Wise Philosopher Wikipedia: "In an April 2020 interview he called European measures against COVID 19 unjustified and a step toward...
I never knew heuristics was so complicated. I frequently used what mathematicians consider heuristics when teaching, particularly in a course in compl...
Your original premise seems to resemble the ongoing arguments on this forum about identity and equality. Does A=B mean that A and B are the same? Is 2...
If these are parallel worlds that are identical, then they have the same "histories", and person A in one world would have the same memories and histo...
Of course. In my years as a prof the only times I recall discussing the equal symbol is in elementary set theory. If we had had an actual course in fo...
Gosh, you are so confident! Wikipedia on Equation: "There are two kinds of equations: identities and conditional equations. An identity is true for al...
I agree. But some would separate the physical universe from its mental counterpart and suggest "universe" is only the physical universe. Same with "ob...
These represent two types of equations in mathematics. But you are correct in a fundamental sense of the symbol "=". (just another small reason I've s...
It's unfortunate that the law of identity uses the equation symbol, = , since in math the equality symbol has two meanings: (1) 2=2, identical, and (2...
How pleasantly wrong you are, MU. There are cliques within the broad structure of math in which participants work towards common goals. I was in such ...
Sometimes games are played for money or prestige. The professional mathematician finds his activities entertaining, frequently fascinating, and he def...
I was thirty years in a math department, and I cannot recall any sort of serious discussion condemning philosophers for meddling in our subject. Occas...
You appear to suggest that mathematical axioms are similar to theory in physics. String theory, however, seems un-testable at present. Does it then le...
From the perspective of appearances of symbols you have a point. Clearly, 2+2=3+1 displays symbols on either side that are not the same as symbols on ...
You are thinking too small. One mythical triangle, a hundred triangles, immaterial. Consider a structure akin the Tegmark's mathematical universe that...
As I mentioned, professional philosophy appears to be much like professional mathematics. Even in youthful days it was not easy for me to keep abreast...
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