Month: May 2020

[Soft Question] Category theory and set theory: just a different language, or different foundation of mathematics?

A question about the philosophy of mathematics for casual reading:

Bach on the Classical Guitar
Brauer Lifting in Algebraic K-Theory of Finite Fields
Counterexamples about Infinitely Generated Modules over Commutative Rings
Counterexamples that Tensor Product of a Non-finitely Generated R-module M with the Completion of R is not the Completion of M
Depth and Dimension of the Fibre of a Local Ring Homomorphism
Hartshorne’s Connectedness Theorem: Connectedness of Punctured Spectrum of a Local Ring of Depth >=2
Checking the ring k[x,y,u,v]/(xy-uv) is a normal domain
Exploring the Grothendieck ring K0 of endomorphisms
Our freedom does not lie outside us- Carl Jung
On the Lichtenbaum-Quillen Conjectures (Updated 10/30/2021)