Where is π today? The nature of the mathematical universe
According to Platonism, numbers, sets, functions etc live in the Platonic universe (PU) of mathematics (lately, set theory) independently of time and space. But it comes with a lot of constructivist baggage that results in severe constraints on the forms of reasoning (it allows assertions that are neither true nor false) and a very reduced mathematical universe (e.g. no discontinuous functions). Fictionalism holds that the mathematical universe is a collective fiction, like Star Trek or Game of Thrones.
Source: billwadge.wordpress.com