I have been fooling with getting up my nerve
to buy Mathematica computer algebra (Mathematica has a functional programming approach) software so I can simplify a study of category theory which in turn can simplify horrific algebraic topology which might simplify Balahandran's "Fuzzy Physics" which is attempting to approach quantum topology. Meanwhile I've been doing bench presses and feeling like a dumb athlete doing Maple computer algebra recipes intensively at my mom's from which I am back. I am embarrassed to write Balahandran the simple question : "Would category theory simplify your quest of quantum topology?" I am embarrassed to write or call Mathematica or Oxford and ask : "Do you have leads on a course I could make myself in category theory with Mathematica exercises" I am very very embarrassed to ask myself to make exercises all by myself. Wikipedia often gives me the gestalts I need to get out of such holes I step in. That the second link is doing data structures to navigate wikipedia is heartening for the future. As for now, I must simply e mail these people, perhaps be ignored and feel humiliated and then exercise like an athlete to make myself sleep to cure myself of the worry at being ignored so I can do my own "semantic reallignment". Very interesting. |
On 5/11/07, [hidden email] <[hidden email]> wrote:
> I have been fooling with getting up my nerve > to buy Mathematica computer algebra > (Mathematica has a functional programming approach) software > so I can simplify a study of category theory > which in turn can simplify horrific algebraic topology which might simplify > Balahandran's "Fuzzy Physics" which is attempting to approach > quantum topology. When I was in grad school, I heard a lot about category theory and even got a book that claimed to describe how to apply it to computer science, but I couldn't figure it out past the first few chapters. When I became a professor, someone from the math department advertised a course in category theory designed for computer scientists. It was a small class, three or four math grad students, three or four CS grad students, and three CS professors, of which I was one. I was lost after a couple of weeks, and dropped out half way through the course. One of the other professor stuck it out to the bitter end, but said that he still couldn't see how to apply it. Category theory is the theory about everything, and there isn't much you can say about everything. The more broad your theory, the more shallow. This was a long time ago, and perhaps people since then have figured out how to make category theory useful. But the people I talk to are not telling me that is so. I think category theory is still mostly interesting to mathematicians, and is not yet to the point where it is useful to engineers. It took me three attempts to figure out denotational semantics, but I did. So, I know I can figure out complex math if I need to. But I want to know that my effort will pay off, and what I know about category theory suggests that it won't. My suggestion is to be happy that you are ignorant of category theory, and to spend your time on things that are more likely to be enlightening. Mathematica is a wonderful tool if you want to do calculus or physics. Or algebra. I doubt it will teach you much about category theory. -Ralph Johnson |
On Fri, 2007-05-11 at 12:12 -0500, Ralph Johnson wrote:
> On 5/11/07, [hidden email] <[hidden email]> wrote: > > I have been fooling with getting up my nerve > > to buy Mathematica computer algebra > > (Mathematica has a functional programming approach) software > > so I can simplify a study of category theory > > which in turn can simplify horrific algebraic topology which might simplify > > Balahandran's "Fuzzy Physics" which is attempting to approach > > quantum topology. > > When I was in grad school, I heard a lot about category theory and > even got a book that claimed to describe how to apply it to computer > science, but I couldn't figure it out past the first few chapters. > When I became a professor, someone from the math department advertised > a course in category theory designed for computer scientists. It was > a small class, three or four math grad students, three or four CS grad > students, and three CS professors, of which I was one. I was lost > after a couple of weeks, and dropped out half way through the course. > One of the other professor stuck it out to the bitter end, but said > that he still couldn't see how to apply it. Category theory is the > theory about everything, and there isn't much you can say about > everything. The more broad your theory, the more shallow. Bert and Howard, While I do not understand a tenth of what these guys are writing about, you gotta be proud that there are folks on this list pushing the envelope here to carry Croquet to the 22nd Century. That lights me up! Ric |
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