Mar 28, 2022 · António Manuel Martins claims (@44:41 of his lecture "Fonseca on Signs") that the origin of what is now called the correspondence theory of truth, Veritas …

The theorem that $\binom {n} {k} = \frac {n!} {k! (n-k)!}$ already assumes $0!$ is defined to be $1$. Otherwise this would be restricted to $0 <k < n$. A reason that we do define $0!$ to be …

Dec 21, 2022 · Division is the inverse operation of multiplication, and subtraction is the inverse of addition. Because of that, multiplication and division are actually one step done together from …

Feb 16, 2016 · Prove the following statement by mathematical induction. $7^n-2^n$ is divisible by 5 for each integer $n \ge 1$ My attempt: Let the given statement be p (n). (1) $7-2 ...

"Infinity times zero" or "zero times infinity" is a "battle of two giants". Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In …

Dec 2, 2020 · So, here is a fundamental question, division by zero is undefined, there are some ways to prove this. Lets take the following limit $$\\lim_{x \\to 0^+} \\frac{1}{x} = +\\infty $$ but …

Nov 15, 2019 · Thank you for the answer, Geoffrey. From what you wrote : 'Are we sinners because we sin?' can be read as 'By reason of the fact that we sin, we are sinners'. I think I …

Perhaps, this question has been answered already but I am not aware of any existing answer. Is there any international icon or symbol for showing Contradiction or reaching a contradiction in …

Any number multiplied by $0$ is $0$. Any number multiply by infinity is infinity or indeterminate. $0$ multiplied by infinity is the question. Answer with proof required.

Sep 6, 2011 · Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the …