query: In which field of science that we can prove $0! =1$ and what i can say to studentof high school if he asked about it's prove ??
positive_passages.docid: 2959
positive_passages.text: Prove $0! = 1$ from first principles
negative_passages.docid: 46515
negative_passages.text: Proof of proficiency in mathematics
negative_passages.docid: 52322
negative_passages.text: Implication in mathematics - How can A imply B when A is False?
negative_passages.docid: 1444
negative_passages.text: Prove/Show that Limit is equal to 0.
negative_passages.docid: 154459
negative_passages.text: Constructing a HoTT proof term of 1≠0
negative_passages.docid: 120774
negative_passages.text: Show that $f$ has exactly one zero on the square $Q =$ {$x + iy ∈ \Bbb C : |x| < 1, |y| < 1$}.
negative_passages.docid: 48051
negative_passages.text: Proof related to natural numbers
negative_passages.docid: 39908
negative_passages.text: Finding the error in this proof that 1=2
negative_passages.docid: 68092
negative_passages.text: Does square difference prove that 1 = 2?
negative_passages.docid: 73807
negative_passages.text: Prove positive definiteness
negative_passages.docid: 118039
negative_passages.text: How prove $p!|(a+1)$ if $p!|a^p+1$
negative_passages.docid: 95057
negative_passages.text: Possible fake proof of $1= -1$
negative_passages.docid: 121544
negative_passages.text: Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$
negative_passages.docid: 14150
negative_passages.text: Zero to the zero power – is $0^0=1$?
negative_passages.docid: 75529
negative_passages.text: Series prove or disprove statement
negative_passages.docid: 152223
negative_passages.text: If $0<r<1$ show that $r^n$ goes to $0$ as $n$ goes to 1.
negative_passages.docid: 61117
negative_passages.text: Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$