Saturday, September 17, 2011

[Chat] of Reducibility

We need a new [chat], I am reading about the axiom of reducibility, hence our new [chat] topic:

Thus a predicative function of an individual is a first-order function; and for higher types of arguments, predicative functions take the place that first-order functions take in respect of individuals. We assume then, that every function is equivalent, for all its values, to some predicative function of the same argument. This assumption seems to be the essence of the usual assumption of classes [modern sets] . . . we will call this assumption the axiom of classes, or the axiom of reducibility.

It's just that simple.

14 comments:

_J_ said...

Because I just realized that my paper on zero isn't about zero so much as it is about the ontological status of logical objects.

But since I'm a shithead, I didn't realize that fact until just now.

Madame La Flour would have realized this months ago!

Roscoe said...

... so.. it's about.... Less than Zero?


If so.. then.. you must fix it, so that you might be Saved By Zero.

_J_ said...

It's about much less than Zero, as Zero seems to be a very rhobust category mistake.

Roscoe said...

Man, I just wanna make Elvis Costello and The Fixx jokes.

_J_ said...

Did you get those books yet?

I'd like to revise my previous claim of "give them all to me, give them to me now, why are you not giving them to me now?!" with "get me all the books with marginalia, and if there are not many of those, then at least the philosophy books."

You didn't indicate how many books there are, so, feel free to add the "marginalia" criteria if that is sensible.

But at the very least I'd like one of the books simply because they belonged to The World's Foremost Authority on Latin Vulgarity.

_J_ said...

Though, now that I think about it, owning his artifacts may impart his powers onto me...

Ok, yeah, ignore my revision: GET ME ALL OF THE BOOKS WHY DO I NOT HAVE THEM YET!!!

Roscoe said...

I'm working on it. Suffice it to say others are NOT working on it, and that his copy of the Little Red Book is MINE, fool!

_J_ said...

Dick move!

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