Philosophy Now Forum

For Zhang and G.H. Hardy, the answer is a definite yes. (I'm wondering if this has a relationship to the different orders of infinity?)

Here's the article:

http://www.newyorker.com/magazine/2015/ ... uit-beauty

PhilX

Philosophy Explorer wrote:For Zhang and G.H. Hardy, the answer is a definite yes. (I'm wondering if this has a relationship to the different orders of infinity?)

Here's the article:

http://www.newyorker.com/magazine/2015/ ... uit-beauty

PhilX

From a distance, and without knowing much detail at all, it doesn't look as if it does involve higher infinities. For ordinals, there is no suggestion of sequences longer than omega. In fact, it looks as if all sequences in question will be finite. Re cardinality, number theory is only concerned with objects of an aleph null set, and, although heavier guns might be brought in to breach some wall, or go around it, nothing suggests that here.