
Originally Posted by
logic
Math is just an arbitrary, symbolic, axiomatic system of equivalences and tautologies. You can prove whatever you want, if you choose the axioms....

Originally Posted by
Markus Hanke
theoretical issues, which I understood to relate to mathematics, not epistemology.

Originally Posted by
Markus Hanke
why don't you show me areal number the square of which is -1.....
If you are interested, start a separate thread and we can discuss all you want, Markus, but you ought to be prepared to discuss the logical foundations of your [
arbitrary*] system. If
it is flawed, you get yourself into a
cul-de-sac.
You should at least be prepared to question all your basic definitions of number, zero, rational, real etc. and abandon poetic licenses and figments (such as : 0 is a number,.. x^0 = 1...). If you start with false or flawed axioms you get in deep, irreversible trouble.
At
physicsforums they prove that 0.9999999...... = 1 , is that an idiocy of theirs or is it an acknolwedged conclusion
(mathematical fact, as you put it)? if that is official math and you agree, I hope you realize that, by that, you are implying that 2=1=836= ... that is sheer chaos!
I hope I made myself clear, this time.
*(for example) you surely know that current set theory (the logical foundations of math) accepts the "axiom of choice" which produces the Banach-Tarsky paradox that proves that 2=1