Jason (jcreed) wrote,
Jason
jcreed

Math kind of came crashing down today; I'm back to where I started when I first tried revising the (apparently successful still) first completely constructive (but still aesthetically imperfect) proof I came up with. That is, all of my aesthetic improvements have failed, but the basic proof still seems correct. Well, one aesthetic improvement worked; it was just capturing a whole bunch of inductive lemmas in one, überlemma that quantifies over pairs of second-order propositional functions. You heard me right. It's essentially a function of type
((prop → prop) → prop) * ((prop → prop) → prop) * (prop → prop) → bool
that I prove to be constantly true under the right assumptions.

Went to D's in the evening. Some people were actually there! It was pleasant to talk to them.
Tags: social
Subscribe

  • (no subject)

    Walked around UW-madison campus yesterday. It was almost entirely deserted, peaceful, cold. The passageways between buildings were as often as…

  • (no subject)

    Today I saw a really aesthetically great scene: there was a guy shuffling along the sidewalk, and the wind picked up and the rainwater falling from…

  • (no subject)

    About ten years ago, in the beginning of the calendar year 2000, 19-year-old me took some classes including "15-312" * and "Category Theory", and…

  • Post a new comment

    Error

    Anonymous comments are disabled in this journal

    default userpic

    Your reply will be screened

    Your IP address will be recorded 

  • 2 comments