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There are twin primes, and the number of twin primes is infinite, so now, the number of twin primes should be even... because by definition they always are. Als
by ForOldHack 3y ago
There are twin primes, and the number of twin primes is infinite, so now, the number of twin primes should be even... because by definition they always are. Also the number of primes is infinite, so there is both a even number of primes, and an odd number of primes.
Infinite sets are indivisible, and also have infinite magnitude. i.e. you cannot sub divide them into anything, and loose its infinite property, you also cannot multiply them, and change the infinite property,
so, If someone says Infinity = 1/12 its useful, but tricky.
if you multiply both sides of that you get infinity * infinity = 1/12 * infinity. i.e. it reduces to infinity = infinity.