1,799 reputation
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location Melbourne, Australia
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visits member for 4 years, 4 months
seen Nov 12 at 19:52

Jul
29
accepted How do you determine if a point sits inside a polygon?
Jul
29
accepted Why is $x^0 = 1$ except when $x = 0$?
Jul
28
accepted Why is the volume of a cone one third of the volume of a cylinder?
Jul
28
answered Optimal Strategy for Deal or No Deal
Jul
28
accepted Is $0$ a natural number?
Jul
28
comment Why is the “finitely many” quantifier not definable in First Order Logic?
Yes, I agree that the fact that I could define $P_3$ was irrelevant because of the inability to form an infinite disjunction, but I included it to give the question a bit of a context.
Jul
28
asked Why is the “finitely many” quantifier not definable in First Order Logic?
Jul
28
comment If $A$ is a subobject of $B$, and $B$ a subobject of $A$, are they isomorphic?
I don't know the answer to your question but being antisymmetric is stronger than what you have here. If 'being a subject of' is antisymmetric then A and B should not just be isomorphic but identical.
Jul
28
comment How do the Properties of Relations work?
@Charles: (Deleted old comment too). To tell you the truth, I felt as though the question didn't make much sense -- it was more like "please explain the entire theory of relations including all relevant distinctions". So I thought I'd at least define the terms properly.
Jul
27
awarded  Beta
Jul
27
awarded  Nice Question
Jul
27
comment Why is the derivative of a circle's area its perimeter (and similarly for spheres)?
I hadn't thought of this. Does this also explain why it works in 3 dimensions?
Jul
27
awarded  Critic
Jul
26
comment How do the Properties of Relations work?
I think you have mixed up the definitions of asymmetric and antisymmetric in this -- could you edit your post to fix this? (or indicate a reference which uses the words in the way you have).
Jul
25
comment Is $1$ a prime number?
You can still edit though, can't you?
Jul
24
accepted Is $1$ a prime number?
Jul
24
comment Why is the derivative of a circle's area its perimeter (and similarly for spheres)?
(I realise that it might not be clear what the $n$-dimensional generalisation is of this, but perhaps this would happen even in different geometries or metric spaces?).
Jul
24
asked Why is the derivative of a circle's area its perimeter (and similarly for spheres)?
Jul
24
asked Why is the volume of a cone one third of the volume of a cylinder?
Jul
24
comment Is $0$ a natural number?
@Justin, I know that there are mixed views (as indicated in the second paragraph of my question). But for the case of 1 being classified as a prime number, it seems the consensus view of the Mathematical community is that it should not count as a prime number. My actual question is 'Is there a consensus on whether zero is a natural number?' (although the question's title is simpler), so a suitable answer would be 'No, there is no consensus' combined with a quick demonstration from a few Mathematical dictionaries or articles that there are conflicting definitions.