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May
11
awarded  Nice Answer
May
10
revised Is there any way to define arithmetical multiplication as other thing than repeated addition?
added 85 characters in body
May
10
revised Is there any way to define arithmetical multiplication as other thing than repeated addition?
added 85 characters in body
May
10
answered Is there any way to define arithmetical multiplication as other thing than repeated addition?
May
9
comment Best Fake Proofs? (A M.SE April Fools Day collection)
@SufyanNaeem That is exactly what makes it nice, at least in the context of teaching. I have seen way to many textbooks and instructors, either gloss over theses conditions or not even mention them. It is something of a pet peeve of mine.
Apr
26
comment Proving $ \neg ( \neg \alpha \wedge \neg \neg \alpha )$
@ZeRubeus There is "possibility" in modal logic. So maybe there is maybe in logic :D
Apr
21
awarded  Pundit
Apr
21
comment Some topologies are more equal than others
@DRF The argument that I was implicitly making is that different languages can and often do provide new insights into a statement or series of statements, even when the translation is rather trivial. I was being flippant about it though ;)
Apr
21
comment Some topologies are more equal than others
One could also argue that the difference between "je sues Baby Dragon" and "I am Baby Dragon" is just words, but one would not argue that one should not learn French.
Apr
16
comment Prove or disprove : $a^3\mid b^2 \Rightarrow a\mid b$
Your proof will work if you assume that $a^m|b^n$ and $m\geq n$.
Mar
3
comment Uniqueness of Solution in infinite linear programming
Just out of curiosity, Is there some practical reason for solving this or is it just interesting?
Feb
28
awarded  Yearling
Jan
5
comment Sum $\frac{1}{6} + \frac{5}{6\cdot 12} + \frac{5\cdot 8}{6\cdot 12\cdot 18} + \frac{5\cdot 8\cdot 11}{6\cdot 12\cdot 18\cdot 24}+\ldots$
I think that this @Ian is correct. I think that we should wait for the OP to tell us what is meant. I looked at the account of the OP and some of the questions and answers were incongruent with the type of mistake I attributed.
Jan
2
comment Is there a system of mathematics where everything is a function?
You could use an arrows only approach to category theory. You could also look at the lambda calculus.
Jan
1
comment Is Russell's paradox really about sets as such?
@Timbuc Many (not all) mathematicians do not really give much thought to foundations. If pressed on foundations, they may instinctively say "ZF (+/-Z) without too much thought. Even those who can name half of the axioms, much of the work can be done in many very different systems, of which ZFC is one of. So to say that most mathematicians work in ZFC might only be true in a nominal way. It may be more accurate to say that all the work one does can be carried out in ZFC (or in some occasions an extension, if one need Grothendieck universes for some things that require category theory).
Dec
31
comment Solving $\sqrt{x^2-5} = x-1$
It is implied in the LHS, not the RHS. On the other hand one could choose to make convection that when roots are involved in an equation (or string of equations) then the implication is propagated to the entire string. This is why I said misleading and not incorrect. When people know what they are doing, this is safe. On the other hand when people are learning, it is best to carry orotund the extra data about domains, as it will allow for quick checking of extraneous solutions. A real pedant(which I am not), however would say that $x$ is a different animal than $x,x\geq 0$.
Dec
31
comment Solving $\sqrt{x^2-5} = x-1$
Your hint is slightly misleading (it does not matter here, but could be good for catching extraneous solutions). It should be $(\sqrt{x})^2 , x \geq 0$.
Dec
31
comment Write $(1^3 −1)−(2^3 −1)+(3^3 −1)−(4^3 −1)+(5^3 −1)$ using summation or product notation.
It looks complicated because you are not yet used to looking at these things.
Dec
30
comment Intuition for Exotic $\mathbb R^4$'s
The best answers that I have heard seem to come down to low dimensional accidents. mathoverflow.net/questions/47569/…
Dec
28
comment Is Information Theory Mathematics?
There are entire Math books written on the subject, see amazon.com/Coding-Information-Theory-Graduate-Mathematics/dp/… .