A simple instance where infinity makes things simple is when proving that there exist trascendent numbers. Instead of having to come up with ways to tell a trascendent number from an algebraic one, you simply say «well, there are too many numbers for all of them to be algebraic, so there you have it».

A simple instance where infinity makes things simple is when proving that there exist transcendental numbers. Instead of having to come up with ways to tell a transcendental number from an algebraic one, you simply say «well, there are too many numbers for all of them to be algebraic, so there you have it».

As simple instance where infinity makes things simple is when proving that there exist trascendent numbers. Instead of having to come up with ways to tell a trascendent number from an algebraic one, you simply say «well, there are too many numbers for all of them to be algebraic, so there you have it».

A simple instance where infinity makes things simple is when proving that there exist trascendent numbers. Instead of having to come up with ways to tell a trascendent number from an algebraic one, you simply say «well, there are too many numbers for all of them to be algebraic, so there you have it».