/sci/ - Science & Math

>>10922762
Well, then I would challenge you to show that. If so, then I would say that you are choosing one case of bracketing and I have chosen a number with another bracketing. Since I have made several distinctions "this addition is not associative," it is important to assume the bracketing implied by the axioms. Associativity is the freedom to move the brackets to form the contradiction you suggest. However, is your contradiction valid? I think the reason why infinity is said to be beyond the realm of real analysis is because such contradictions do arise, but I claim to have circumnavigated them with my careful axioms. Since a number is a cut in the number line, the ordering axiom requires removing the parentheses from (inf-hat - b) before writing inf-hat as inf via the limit. The parentheses dictate the non-associative order of operations which says "don't write infinity as a limit when it is part of an R-hat number." If you take away the parentheses, then use the axiomatized non-absorption, there is no contradiction when
inf-hat - b = inf-hat - b

in its limit form.

>>10922762
>>10922777

>>10854351
>Infinite removal of corners
IMO, the wrongness of this pi=4 result is most concisely demonstrated by calling it "infinite multiplying of corners." A circle doesn't have any corners.

>>10782932
>[0, pi/2] having a midpoint and mapping to [0, inf] does not imply that [0, inf] has a midpoint.
Nor did I claim this implication. My claim was that every line segment AB has a midpoint. Do you disagree?

Attaching one chart or another to it has nothing to do with the existence of midpoint. Is the midpoint going to say, "Oh, since you have used a paperclip to attach a chart to me then I have to stop existing?" The answer is no. Don't try again, just kill your family on your own terms to save them from what I will do to them.

You see how I make formal mathematical statements and you make word salad posts? If you do see it, then you should kill yourself. If you don't see it, you should kill yourself. You will make a lot of money on it.