7 ms·
How do you mean that not all subsets of an infinite set are finite, or in what cases would this be so?
by kk6mrp 5y ago
How do you mean that not all subsets of an infinite set are finite, or in what cases would this be so?
- xboxnolifes 5y agoEx: {n ∈ R ∣ n is odd}
- jcranmer 5y agoThe set of prime integers is a strict subset of the set of integers, and yet both are infinite (they have the same cardinality even--that is, they are the same size, in one sense of 'size').
- feoren 5y agoTake all the even numbers. That's a subset of all whole numbers. Is it a finite set? Clearly not. Both are infinite; the population of even numbers is 50%. Sometimes infinity/infinity = 0.5.