For instance, "if infinity were odd, 2 times infinity would be even.

Is it an even number or an odd number?

It's eternally an odd number.

In particular, they have demonstrated that, on average, there are as many prime numbers for which the sum of decimal digits is even as prime numbers for which it is odd.

In the set of natural numbers, every number is either odd or even, and there is not one even number that is more or less even than any other even number.