RE: My current readings in Category Theory

2002-04-03 Thread Jim Choate
On Wed, 3 Apr 2002, Fisher Mark wrote: > Why it is that Perl has this large of a community is probably really OT for > cypherpunks, though... Cypherpunks write code. -- There is less in this than meets

Re: My current readings in Category Theory

2002-04-03 Thread dmolnar
In passing about category theory and ML: * ML supports generic programming by a language feature called a "functor." I don't know enough category theory to know how close ML's notion of "functor" is to a mathematician's. this page is a small intro http://ww

Re: My current readings in Category Theory

2002-04-03 Thread Tim May
On Wednesday, April 3, 2002, at 06:54 AM, Julian Assange wrote: > Category theory is nice, but would be nicer if could draw in > information theoretic and cognitive metaphors. Maths is a programming > language selected over time for execution on (perhaps slightly > modified) human brains. The fai

RE: My current readings in Category Theory

2002-04-03 Thread Fisher Mark
Tim May writes: > * object-oriented systems. In my view, this one _has_ > basically lived up > to its billing, largely because it works for building more complex > systems (and is arguably how Mankind has usually built > complex systems > like bridges and skyscrapers and chips). But some of t

Re: My current readings in Category Theory

2002-04-03 Thread Julian Assange
> 4. Perhaps even more strangely, but more practically, there may be some > very interesting uses for Cypherpunks visions. Weirder than Baez, > weirder than Egan...in some ways. The basic insight is that just as > category theory is about "objects/things" (called categories) and the > "transfo

Re: My current readings in Category Theory

2002-04-02 Thread Tim May
On Tuesday, April 2, 2002, at 02:58 PM, Sampo Syreeni wrote: > On Tue, 2 Apr 2002, Tim May wrote: > >> I've been having a lot of fun reading up on "category theory," a >> relatively new branch of math that offers a unified language for >> talking >> about (and proving theorems about) the transf

RE: Re: My current readings in Category Theory

2002-04-02 Thread Kurt
Sampo Syreeni said: | >* "game theory." We all know that most human and complex system | >interactions have strong game-theoretic aspects. | Cooperation, defection, | >Prisoner's Dilemma, Axelrod, etc. But thinking that "all crypto is | >basically game theory" has not been fruitful, so far. | | A

Re: My current readings in Category Theory

2002-04-02 Thread Jim Choate
On Wed, 3 Apr 2002, Sampo Syreeni wrote: > >The fact that we use "Alice and Bob" diagrams, with "Eve" and "Vinnie > >the Verifier" and so on, with arrows showing the flow of signatures, or > >digital money, or receiptswell, this is a hint that the > >category-theoretic point of view may be e

My current readings in Category Theory

2002-04-02 Thread Faustine
-BEGIN PGP SIGNED MESSAGE- Hash: SHA1 Tim wrote: >* "general systems theory," a la Bertanlanffy. I knew a guy who was >majoring in this as an interdisciplinary self-study program. Whatever >became of this? >(And this is kissing cousin to Operations Research, which is mostly a >high b

Re: My current readings in Category Theory

2002-04-02 Thread Jim Choate
On Tue, 2 Apr 2002, Tim May wrote: > Category theory is basically about the common categories (sets, > topologies, algebras, recursively-computable functions, stuff even from > computer science) and the diagrams that link them. There's more to it > than just saying "it's about talking about d

Re: My current readings in Category Theory

2002-04-02 Thread Sampo Syreeni
On Tue, 2 Apr 2002, Tim May wrote: >I've been having a lot of fun reading up on "category theory," a >relatively new branch of math that offers a unified language for talking >about (and proving theorems about) the transformations between objects. Baez convinced you, no? He seems to be a categor

My current readings in Category Theory

2002-04-02 Thread Tim May
Cypherpunks, I've been having a lot of fun reading up on "category theory," a relatively new branch of math that offers a unified language for talking about (and proving theorems about) the transformations between objects. I'll say a few words on why this is more than just the "generalized ab