Because every transcendental number is irrational, any proof showing that pi is transcendental also proves that pi is irrational.

Without the theorem of the excluded middle, all kinds of difficulties arise. In fact, many mathematical proofs are based on ...

A U.S. computer storage company has calculated the irrational number pi to 105 trillion digits, breaking the previous world record. The calculations took 75 days to complete and used up 1 million ...