On 12 Aug 99, Zim Olson wrote re. I see wholes in all Mathematical theory also:
Mr. Olsen, Unlike fellows like me, known for sharp words and sharp tone, Mr. Newton Liebniz was gently trying to suggest you do some more study because creativity in math has nothing to do with the free wheeling impressionist stuff you purvey. Rather that creativity is the implementation, and on occasion, development of mathematical concepts to tease out the facts of the concrete reality of the universe in which we exist. Just as the anti-evolutionists assert, there are in fact "holes" in all science since all we know at any one historical point is only that which we have discovered or teased out up till now. Our knowledge is neccesarily limited because in historical time we are limited and as well all reality is constantly in motion and developing. But our science benefits from our mistakes because of a function of thinking called the negation of the negation, i.e., by making mistakes we approach closer to the truth of the real, albeit, changing universe. In math, the negation of the negation is the conceptual idea, an idea all too many math teachers don't even think about much less express, when they teach mechanically that a minus times a minus equals a plus. Mr. Liebniz was gently trying to tell you that it is nice that you want to discover and learn things about math and math instruction. Nonetheless he was telling you also, much more politely then this my response because of your offhand dismissal of Mr. Liebniz, that you need to do a great deal of work instead of just mouthing off with snakeoil like phrases and comments. An example is your assertion that mathematics is based on time or some axiom of such. Pity you hadn't really thought about it because all things are based in time insofar as time is nothing more, nor less, than energy/matter in motion, which is all. And, anybody that knows anything, would not possibly misspell the name Mr. Newton Liebniz has taken after that of the great and early physicist.
> Dear Leniz/Newton: I see holes in all Mathematical theories as well. > Sometimes you just have to engage your brain a little bit. (See my > comments on the axiom of time, on which Mathematics is based). This > mathematics is just my response to the many holes I see in Mathematics > taught in schools. Thank you for your feed back, however, I really > appreciate them. > > Zim Olson, BS, MAA member. >