Zero is not nothing. Zero is an integer. Just like one, two, three etc. It's a number. It's a special number, just like 1, in that it's central to various mathematical concepts. But it's still just a number. It wouldn't be usable in functions and such otherwise.BGH122 said:I think he's trying to say that zero and infinity are both defined by their absence of a fixed integer. Zero is the absence of an integer to indicate that there simply isn't an integer, and infinity is the absence of an integer to indicate that the concept being relayed cannot be made precise.
His separate point about infinity meaning that we're all possessing contradictory properties (I'm rich poor, fat slim etc) is valid insofar as directly applied infinity to an individual would result in all possible traits being present and hence individuals being in possession of contradictory traits. However, this rationale doesn't actually explain why one would apply infinity to the characteristics of an individual or how this ties into the previous argument.
Nothing, in mathematics, is the empty set. It's denoted as {} or Ø. It's not a number. It's a collection with size 0.