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The herd (Wikipedia) says:
The major problem of mathematical platonism is this: precisely where and how do the mathematical entities exist, and how do we know about them? Is there a world, completely separate from our physical one, that is occupied by the mathematical entities? How can we gain access to this separate world and discover truths about the entities? (excerpt from Philosophy of Mathematics, on Wikipedia).
Here we're talking about triangles and other obviously abstract things — definitions of abstractions???? —: so these careful wikipedians, careful not to be fooled by some fascist ideologs, are asking: "Is there a world, completely separate from our physical one, that is occupied by the mathematical entities?" But who said it was completely separate, or that it was "a world" (perhaps it's OUR world), or that they are entities (why not constitutive parts of ourselves, as Plato said?)
Then, the most idiotic question: "how do we know about them?" Well, buddy, 1+1=2, what do you think about that?
The most embarassingly idiotic question remains this wondering about where this "completely separate" world exists. We all know that the triangle and a triangle are not the same, and so close at the same time. Don't insult Plato, you sheepish wikipedestrian.
