| | Anthony, we seem to be talking past each other.
This is what you said.
"A philosophy such as Objectivism, that begins with an axiomatic approach to existence, identity, and consciousness, cannot easily be refuted."
OK. Lets try again.
Kurt Godel showed us in 1931 that there exists some statements that cannot be proven true, in essense the "excluded middle" (the undecidable) as Tremblay put it, comes into play at least in "reality" (and bizzarely in maths). Certainly within a *closed* axiomatic system all the statements can be made true, but OUTSIDE of that system there will be other statements that are unprovable. This results in an outright inability of any axiomatic system (yes that includes your one Anthony) to provide proof of itself.
Hence, any attempt to use the axiomatic system to justify itself is circular or at least question begs.
And, thus, ALL attempts to axiomatise identity, existence and consciousness will fail. They fail not because they are bad ideas or they might be false or they seem incorrect, or whatever, but because these types of concepts are not axiomatisable.
The reason why they are not axiomatisable is because there is much contention as to what consciousness is, what is existence, (objectivists certainly don't have a monopoly on the definition of these concepts), there is disagreement over identity, hence these concepts are open to interpretation - there certainly is no unanimous consensus.
The kinds of things that *are* axiomatisable are algebraically closed systems. But they don't prove themselves!
Bottom line is - you can't axiomatise reality (let alone math or science). No one in their right mind believes you can. And everyone who has done a little study, realises it is a hopeless endeavour to even try.
The mere fact that you claim objectivism is an axiomatic system automatically tells me (according to Godel, that it is incomplete and inconsistent), thus (as I have said several times already) there is no need to show any refutation of any of your axioms.
Anthony, these issues turn up time and time again with axiomatic systems, and have been written about at length by Turing, Church, Quine, Penrose, Heisenberg, Einstien, Frege, Davidson, Ramsey, Dennett, etc etc etc... ad infinitum.
Mate you can't axiomatise life. Not only is it a bad idea it is simply logically impossible. There are no sets of valid and complete axioms of existence, identity, and consciousness, hence there is nothing to refute.
Steve.
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