Surely You're Joking Mr. Feynman has Feynman ascribing to Onsager the following quote (during the International Conference of Theoretical Physics in Kyoto, in 1953):
"We should tell Feynman that nobody has ever figured out the order of any transition correctly from first principles."
Is there reason to believe/disbelieve Onsager said this? Was this true at the time? When did someone first correctly show the order of a phase transition from first principles? (I realize "show" probably has in this case multiple interpretations corresponding to different levels of rigour required I would leave this open to those answering.)