"Infinity is that which can be put in one-to-one correspondence with a subset of itself."
If you're saying that infinity is not directly realizable in what we perceive, then I agree. But this has little to do with how it's defined (or even its metaphysical significance); positive and negative definitions are for all intents and purposes equivalent.
If you're saying that infinity is not directly realizable in what we perceive, then I agree. But this has little to do with how it's defined (or even its metaphysical significance); positive and negative definitions are for all intents and purposes equivalent.