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comment Does this compound interest problem coincide to the value of e by coincidence?
$(1 + 1/n)^n$ is what you end up with if you start with $1$, and you're credited interest equal to one $n$th of your current balance, $n$ times.
Apr
13
comment What does the term “undefined” actually mean?
Note that this answer is taken from math.wikia.com/wiki/Undefined
Apr
5
comment In math, when are there two equally strong, sound, but opposing, arguments?
Well, it depends on what you mean by "argument". It's not known whether or not there are infinitely many "perfect numbers", and surely you could come up with some good "arguments" in either direction. But no proof has been found either way.
Mar
22
revised How come, in this problem, the maximum product is always achieved using only $2$s and $3$s?
Rewrite question to use better English
Mar
22
suggested approved edit on How come, in this problem, the maximum product is always achieved using only $2$s and $3$s?
Mar
12
answered Can $f(\infty)$ be defined if the sequence $f(n)$ is divergent?
Jan
23
awarded  Good Answer
Jan
22
awarded  Mortarboard
Jan
22
awarded  Nice Answer
Jan
21
answered Why can a circle be described by an equation but not by a function?
Jan
19
answered What do mathematicians mean by “equipped”
Jan
12
awarded  Nice Answer
Jan
12
answered Is there a law that you can add or multiply to both sides of an equation?
Dec
8
comment How to prove this polynomial has an imaginary root?
I've spent a couple of minutes trying to think how to answer this question. I don't see how to prove that it's not the case that all of its roots are real. My only thought is the fact that by Descartes' rule of signs, not all of its roots are positive.
Sep
25
comment Is it true to say that “it's not logically possible to prove something can't be done”?
It looks like you're interpreting Asok's "can't be done" as "can't be proved within a formal system". I don't see any evidence that Asok is talking about formal systems; what's your reasoning?
Sep
2
answered Having hard time understanding proofs by contradiction.
Aug
31
comment How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
Well, it's the number of subsets that don't contain two consecutive integers, minus the number of subsets that don't contain two consecutive integers but do contain both $1$ and $n$.
Aug
13
awarded  Nice Answer
Aug
12
comment Proof of Existence of Algebraic Closure: Too simple to be true?
Answer to first question: "A is strictly smaller than B" means that there is no surjective function from A to B. Answer to second question: yes, it is; this shows that the collection of algebraic extensions of $K$ is not a small class.
Aug
12
answered Proof of Existence of Algebraic Closure: Too simple to be true?