Who first defined truth as "adæquatio rei et intellectus"?
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 …
Good book for self study of a First Course in Real Analysis
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 …
functions - Difference between multiplying and dividing numbers …
Feb 20, 2021 · Basically, what is the difference between $1000\\times1.03$ and $1000/.97$? For some reason I feel like both should result in the same number. I only ask because I'm working …
factorial - Why does 0! = 1? - Mathematics Stack Exchange
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 …
Is there an identity for cos (ab)? - Mathematics Stack Exchange
May 9, 2014 · I know that there is a trig identity for $\cos (a+b)$ and an identity for $\cos (2a)$, but is there an identity for $\cos (ab)$? $\cos (a+b)=\cos a \cos b -\sin a \sin b$ $\cos …
Prove that $1^3 + 2^3 + ... + n^3 = (1+ 2 + ... + n)^2$
HINT: You want that last expression to turn out to be $\big (1+2+\ldots+k+ (k+1)\big)^2$, so you want $ (k+1)^3$ to be equal to the difference $$\big (1+2+\ldots+k+ (k+1)\big)^2- …
logic - How can I prove that (p→q)∧ (p→r) ⇔ p→ (q∧r)
Apr 16, 2019 · How can I prove that (p→q)∧(p→r) compound statements and compound statement p→(q∧r) are logically equivalent? And can I use logical equivalences on this proof?
Show that $n^3-n$ is divisible by $6$ using induction
Aug 1, 2016 · This answer is with basic induction method... when n=1, $\ 1^3-1 = 0 = 6.0$ is divided by 6. so when n=1,the answer is correct. we assume that when n=p , the answer is …
Find volume of the cone using integration
Apr 6, 2018 · A cone can be though as a concentration of circles of radius tending to $0$ to radius $r$ and there will be infinitely many such circles within a height of $h$ units ...
Direct proof that integral of $1/x$ is $\ln (x)$ [closed]
Oct 3, 2021 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,