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.
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    Didn't sleep well. Long day of work. Dinner with akiva at hanamichi.

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    K was going to do a thing for her dad's birthday, but scheduling kept slipping and slipping so I guess we're going to try doing it tomorrow instead.

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    Had a pleasant lunch with paul and gabe back from working-at-facebook times. Discussed the important issues of the day, by which I mean video games…

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