I don't feel qualified to talk about the "time" problem, but I have thought a lot about the "mathematics" problem. Here is my take on whether mathematics is "invented".
I think that certain branches of mathematics, such as the arithmetic of natural numbers and geometry, have very plausible interpretations as being "about" real things. For example, the mathematical statement
Quote:
2+2=4.
can be plausibly interpreted as meaning
Quote:
If you take a collection of two objects and combine it with a collection of two objects then you obtain a collection of four objects.
However, even though mathematics occasionally has a plausible interpretation like this, I don't think that this is what mathematics is really about. Rather, mathematics is about
determining the outcomes of formal systems. So, I think that a superior interpretation of
Quote:
2+2=4.
is
Quote:
"2+2=4" is a theorem of Peano arithmetic.
When you look at it this way, mathematics is both "created" and "discovered". We "create" the formal systems, and then "discover" their consequences.
Of course, this just passes the Platonic buck and raises the question of whether "formal systems" really exist or not. I think they they do, since formal systems are simply a collection of symbols and rules for manipulating symbols. I am quite happy to say that such a thing exists, in much the same way as the game of chess exists.