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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 est. You might want to reexamine those. 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-.

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You'll need to complete a few actions and gain 15 reputation points before being able to upvote A reason that we do define $0!$ to be $1$ is so. Upvoting indicates when questions and answers are useful

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You are describing the computation of the volume of a cylinder But the logic is here 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?

I don't understand what's happening The theorem that $\binom {n} {k} = \frac {n!} {k Otherwise this would be restricted to $0 <k < n$