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Who first defined truth as adæquatio rei et intellectus? António Manuel Martins claims (@44:41 of his lecture quot;Fonseca on Signs quot;) that the origin of what is now called the correspondence theory of truth, Veritas est adæquatio rei et intellectus
Difference between PEMDAS and BODMAS. - Mathematics Stack Exchange 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 left to right; the same goes for addition and subtraction Therefore, PEMDAS and BODMAS are the same thing To see why the difference in the order of the letters in PEMDAS and BODMAS doesn't matter, consider the
Why is $\infty\times 0$ indeterminate? - Mathematics Stack Exchange "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 particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form Your title says something else than
What are the criteria for bad faith questions? The main criteria is that it be asked in bad faith ;-) I'm not entirely insincere: The question is rather how can we tell that, and a big part of the answer is "context"; it's not mainly the question itself
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 $$\big (1+2+\ldots+k+ (k+1)\big)^2- (1+2+\ldots+k)^2\; $$ That’s a difference of two squares, so you can factor it as $$ (k+1)\Big (2 (1+2+\ldots+k)+ (k+1)\Big)\; \tag {1}$$ To show that $ (1)$ is just a fancy way of writing $ (k+1)^3$, you need to
Good book for self study of a First Course in Real Analysis 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 instructor used "Introducti
Are we sinners because we sin or do we sin because we are sinners? 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 can understand that But when it's connected with Original Sin, am I correct if I make the bold sentence become like this "By reason of the fact that Adam Eve sin, human (including Adam and Eve) are sinners" ? Please CMIIW
Taylor Series for $\log (x)$ - Mathematics Stack Exchange the Taylor series for ln (x) is relatively simple : 1 x , -1 x^2, 1 x^3, -1 x^4, and so on iirc log (x) = ln (x) ln (10) via the change-of-base rule, thus the Taylor series for log (x) is just the Taylor series for ln (x) divided by ln (10)