Logic . Philosophy . Other Fun Stuff
So, sabbatical is over, I'm back in Calgary, started to teach yesterday (history of analytic, and Gödel's incompleteness theorem--from Peter's book). I saved so many posts in my reader over the summer that now there's more saved posts than new posts every day. Let's clean house.
Tarski told me the following story. He tried to publish his theorem [If for all infinite sets X there exists a bijection of X to X × X, then the Axiom of Choice holds] in the Comptes Rendus Acad. Sci. Paris but Fréchet and Lebesgue refused to present it. Fréchet wrote that an implication between two well known propositions is not a new result. Lebesgue wrote that an implication between two false propositions is of no interest. And Tarski said that after this misadventure he never tried to publish in the Comptes Rendus. (p. 209)
I think there's a paper just in mathematicians' practice to show that this and that theorem are equivalent (usually, without any mention of what background theory they are equivalent over). I mean, why is it interesting to prove an implication between two (necessarily!) true propositions?
Just to share these two YouTube videos in which Kit Fine talks about how he does philosophy. Among other things, he tells us what the right approach to the methodology of metaphysics is: Part 1 and Part 2.
Phew.
Thanks for your kind though about POW. After long time having thought about it, I decided to break off from blogging for a while, and I made the, perhaps too radical, decision of simply removing the blog altogether rather than having stay online and indefinitely inactive. It is very likely that I will someday open another blog on philosophy, but for the time being I confine myself to reading other people's thoughts. Cheers, Andreas.