Commentary by cpressey on Order Theory works ============================================ ### Was lattice theory central to mid-20th century mathematics? ### Introduction to Domain Theory ### Deriving Laws from Ordering Relations The thesis seems to be that the fact that some things form a lattice *induces* some of the laws and equations surrounding those things. For example, you get Bayes' Theorem *from* the algebraic properties of implication a la Cox. This is difficult to comprehend fully, but fascinating. ### Lattices to Logic It's only 100 pages. I should really try to digest it, but I have so far only skimmed it.