Straight out of the textbook, haha

adrian

Joseph Polanik wrote:
> 1. The Axiomatic System and its Domain of Application
> 
> an axiomatic system is not itself about anything; so, facts neither
> support nor challenge it; and, consequently, the system says nothing
> about anything.
> 
> when an axiomatic system is linked to some other domain which it is said
> to model, facts about that domain become relevant.
> 
> here's how it works. I'll start with one of my axioms: (x)(-Nx)
> 
> that's it. you have no idea what it's about because I haven't specified
> the domain to which I'm applying this axiom; and, since I have not yet
> specified what 'N' represents, you have no idea what I'm saying about
> that domain.
> 
> of course, you know just from logic that I'm saying 'for any x that is x
> is not 'N'. you also know the following equivalence:
> 
> (x)(-Nx) <-> -(Ex)(Nx)
> 
> now you know how to falsify my claim (once you find out what domain it
> applies to and which facts become pertinent): you show (Ex)(Nx) --- you
> prove that there is an x that is N.
> 
> okay, now I'll link this axiom to the domain to which I apply it, the
> language of psycho-philosophical inquiry. it is the definition of 'is'.
> 
> where N = not nothing, (x)(-Nx) translates into 'for any x that is, x is
> not nothing'. this is logically equivalent to the right side; -(Ex)(Nx)
> translates into 'it is not the case that there is an x such that x is
> nothing'.
> 
> now that I've linked the axiom to its domain of application, you know
> how facts are relevant. you can only falsify my axiom by demonstrating
> (Ex)(Nx) --- by presenting an x that is, but which is nothing.
> 
> good luck with that.
> 
> 2. Comparison with the Metanomski Axiom of Awareness, MAA
> 
> [Georges, until you tell us what you've named your axiom, I'm calling it
> the Metanomski Axiom of Awareness or MAA.]
> 
> your axiom is: all elements of the human universe are relative,
> excepting awareness, its utmost absolute foundation.
> 
> this is not stated in a very abstract manner, so it is difficult to
> distinguish the axiom from the domain of application; and, to see when
> facts are relevant to the issue at hand: whether the axiom adequately
> describes the domain to which it allegedly applies.
> 
> 3. Confronting DoubleSpeak
> 
> now, Georges, let us confront the doublespeak (using 'doublespeak' in
> the classic orwellian sense).
> 
> on the one hand you say that one of the ways in which to challenge an
> axiomatic system is to use facts to show that it is false (ie that it
> does not adequately describe its domain of application). however, when
> presented with a fact that challenges your system you have avoided
> rising to the challenge. instead you have
> 
> * invented a rule that your viewpoint can only be challenged from inside
> itself.
> 
> this rule is obviously bogus; and, is adopted by astrologers and other
> pseudo scientists to avoid having to deal with skeptical scientific
> challenges.
> 
> * you have 'defined' the claimed fact 'I am self-aware' as tautologous.
> 
> you do no explain the basis for this judgement. you identified two uses
> of 'tautology', one from logic and one from rhetoric, but decline to say
> which you are using. furthermore, since a tautology is true under all
> circumstances, one would normally think that your axiomatic system would
> not have to commodate itself to a tautology; but, you seem to be saying
> that your axiom doesn't have to be consistent with a tautology.
> 
> * you have 'defined' the awareness described by 'I am self-aware' as
> 'non-thematic'.
> 
> here, again, you refuse to confront the facts. the fact is that you
> admit that awareness of a tree is thematic awareness; but, that
> awareness of self as subject while simultaneously aware of that same
> tree --- somehow that self-awareness is non-thematic.
> 
> how is that possible? you've declined to answer.
> 
> * you have defended your axiomatic system by introducing facts
> 
> you've indicated that awareness is necessarily thematic but without
> showing where that conclusion came from. is it a separate axiom? is it a
> deduction from the MAA. if so, would you please present the derivation?
> is this a conclusion based on facts?
> 
> you point to Bachelard in defense of your claim that awareness is
> necessarily thematic. but, you've additted that Bachelard didn't say
> that. he just spoke about states of awareness that we both recognize as
> thematic awareness.
> 
> so it is still up to you --- if you are citing Bachelard's observations
> as evidence --- to show how Bachelard's discussion of thematic awareness
> proves that all awareness is necessarily thematic.
> 
> instead, you've tried to obfuscate the issue by claiming I need to show
> that Bachelard claimed that non-thematic awareness is possible. that's
> ridiculous. I'm not claiming that self-awareness is non-thematic. you
> are.
> 
> so, it's up to you to show how self-awareness is non-thematic. is that a
> separate axiom or is that a deduction from the MAA?
> 
> Joe
> 


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