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 …
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 …
Difference between PEMDAS and BODMAS. - Mathematics Stack …
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 …
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 …
Taylor Series for $\log (x)$ - Mathematics Stack Exchange
Nov 29, 2013 · Does anyone know a closed form expression for the Taylor series of the function $f (x) = \log (x)$ where $\log (x)$ denotes the natural logarithm function?
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- …
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 …
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,
Why is $\infty\times 0$ indeterminate? - Mathematics Stack …
"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 …
Are There Any Symbols for Contradictions? - Mathematics Stack …
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 …