Formalism in the Philosophy of Mathematics (2015)(plato.stanford.edu)
plato.stanford.edu
Formalism in the Philosophy of Mathematics (2015)
https://plato.stanford.edu/entries/formalism-mathematics/
7 comments
Nice article, but too specialized and it can be a bit complicated to read it. So, if you need problems with understanding it, write me at https://handmadewritings.com and I will explain to you any tough moments!
The working mathematician is a Platonist on weekdays, a formalist on weekends. On weekdays, when doing mathematics, he’s a Platonist, convinced he’s dealing with an objective reality whose properties he’s trying to determine. On weekends, if challenged to give a philosophical account of this reality, it’s easiest to pretend he doesn’t believe in it. He plays formalist, and pretends mathematics is a meaningless game
Reuben Hersh
Reuben Hersh
This seems paradox. Did he perhaps say that on a weekend?
Most paradoxes are actually solvable, so I take issue with this metamathematical dissonance. I'll take it as a humble admission of ignorance and a resolution to (syn-)tactfully avoid getting into philosophical (sem-)antics to, instead, teach the first ground truth of the fight club by example (don't talk about it, do it).
Most paradoxes are actually solvable, so I take issue with this metamathematical dissonance. I'll take it as a humble admission of ignorance and a resolution to (syn-)tactfully avoid getting into philosophical (sem-)antics to, instead, teach the first ground truth of the fight club by example (don't talk about it, do it).
"An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Structure" by J. Franklin.
Let's not forget constructivism. https://plato.stanford.edu/entries/mathematics-constructive/
Argh..too much jargon, had to stop reading..