It says that we discover mathematical facts by empirical research, just like facts in any of the other sciences.

Now he denied there were any mathematical facts to be discovered.

This statement is a mathematical fact, requiring no model assumptions.

The only values he recognized were mathematical and scientific facts.

Problems usually corresponds to non-trivial mathematical facts, often to recent discoveries or their particular cases.

More than 180 named mathematical facts have so benefited from formal codification.

It's a mathematical fact that he was the deciding vote for the largest tax increase in the history of the country.

This is a mathematical fact derived from the definitions of serializability and a transaction.

George Booth says that his first step in coming up with an idea is to draw a dog: It's a mathematical fact!

On one level, the reaction arises out of a simple mathematical fact.