It is a figment of the imagination. Logic takes place in human minds. That is what my mind does - it imagines stuff. Some of the stuff my mind imagines is logic.Speakpigeon wrote: ↑Sun Oct 11, 2020 5:55 pm The result is for all of us to see today: mathematicians now believe that logic in the sense it was understood in the Aristotelian tradition is a figment of the imagination, a philosophical construct, and claim instead that there is an infinite number of logics.
It's part and parcel of the whole "creativity" thing. I have absolutely no idea why you think that's a "bad" thing.
You see the democratization of logic as a "massive failure" of logic?!?!? You see the accessibility of higher order logic to millions of people as a bad thing ?Speakpigeon wrote: ↑Sun Oct 11, 2020 5:55 pm They essentially started out with Boole, Pierce and Frege trying to produce a model of the logic of human reasoning. Then they failed. Then they disagreed as to which model was best. Then they went their separate ways, and now any mathematicians can make up their own private pseudo-logic, from 1st order, to 2nd order, to intuitionistic, to paraconsistent, to whatever they fancy when they get up in the morning. This has to be the most massive failure of the rational mind ever.
What sort of elitist ethic are you making this claim from?
What sort of cookie-cuttter robotic politburo "rational mind" would you rather impose on us?
For as long as Philosophers exist, Mathematicians are at no risk of becoming a laughing stock.