No? How about "acting in one's self-interest is inherently rational"?
Objectivism does not regard, "acting in one's self-interest is inherently rational," as an axiom, and you will never find it described as such. It is a derivative concept. But don't worry about it. It requires some very regorous logic which may be too difficult for you.
No, actually it's not axiomatic - you just used the law of non-contradiction to logically prove that existence exists. Given that ~(P & ~P) is true, ~P being false logically implies that P is true. And if you can prove that something is true, there's no need to regard it as an axiom.
I do not believe most objectivists would regard you as the God of what can and cannot be regarded as something. You may ragard it any way you please, that's what objectivists believe. Objectivists regard "existence exists" as axiomatic because it is an irreduceable primary that cannot be denied without being self-contradictory.
Hank
I'll take my chances - go ahead and make your case.
I do not believe most objectivists would regard you as the God of what can and cannot be regarded as something. You may ragard it any way you please, that's what objectivists believe. Objectivists regard "existence exists" as axiomatic because it is an irreduceable primary that cannot be denied without being self-contradictory.
I do not think "axiom" means quite what you think it means - perhaps you will accept some source other than me as an authority on this?
Newspeak.
Main Entry: ax·i·om
Pronunciation: 'ak-sE-&m
Function: noun
Etymology: Latin axioma, from Greek axiOma, literally, something worthy, from axioun to think worthy, from axios worth, worthy; akin to Greek agein to weigh, drive -- more at AGENT
Date: 15th century
1 : a maxim widely accepted on its intrinsic merit
2 : a statement accepted as true as the basis for argument or inference : POSTULATE 1
3 : an established rule or principle or a self-evident truth