A mathematical fact is any fact which can be proven mathematically.
Examples:
1 + 1 = 2
0 / 1 is undefined
The limit of 1/n as n approaches 0 is infinity.
One mathematical fact about number 23 is that number 23 is an odd number. Another mathematical fact about number 23 is that number 23 is prime number.
It is a composite number.
it's prime
tacos are delicious
Just the fact that she could publish mathematical papers under her own name in the 1840s and have other mathematicians read them was an accomplishment!
It could be termed a "law".
Neptune was the first planet found by mathematical prediction rather than by empirical.
To conclude, or deduce, as in, "from the fact that the triangle is equilateral, and the fact that a triangle is isoceles if and only if the base angles are equal, we can infer that it is also equiangular."
17 is a prime number because it has only two factors which are itself and one
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
Martin Gardner, who wrote for Scientific American. among others: Mathematical Carnival, Mathematical Circus, etc. They had various logical puzzles with explanations given. Gardner had a smooth and erudite style, something like Isaac Asimov in his many science Fact articles- such as in TV guide.
No they are not. In fact, the only way that the two are related is that under certain circumstances, one is the mathematical opposite of the other.