The problem I’m having is, an axiom is something that exists in our minds, it’s a human concept. It doesn’t make much sense to me to impose that on the external world.
*There is no such thing as a non-human concept. Concepts are all human. Concepts are the human mode of consciousness. If we, as humans, are communicating, we are doing it in concepts.
As I stated I am not trying to ’ impose’ a concept on the external world. This will not work. The external world is what it is, independent of any consciousness of it.
In this case, the concept of “external world,” or “existence,” or "the universe,” all have a certain meaning; a meaning used to describe the way we observe things in existence. E.g., the universe means, everything that exists.
If you claim the “universe” has a beginning, then the meaning you are giving to the concept of universe for you is not everything that exists, but is only everything that exists up until some arbitrary point.
What is being stated in effect is “I arbitrarily designate as the ‘beginning’: X." This does not include all the antecedent factors, which proceeded the arbitrarily chosen, arbitrarily delimited version of the concept of “universe.”
So, for you the “external world” is the “external world”, plus the “external-external world” on the outside of that one, which caused it. The moment you attempt this conceptually, you have the need for an “external-external-external world” on the outside of that to explain the cause of that one. In your attempt to explain the first, you need a second to explain it, and then you need a third to explain the second, etc. etc. etc. ad infinitum.
If any procedure is attempting to ’ impose’ a concept on the “external world” this procedure is. You impose your emotional need to have “beginnings,” and “ends” on your “human concept” of the external world.
Furthermore, if one does not like the infinite regress this procedure produces, and they arbitrarily just substitute “ nothing ,” to replace antecedent factors to explain the first world, there are still inescapable problems.
Such an attempt to arbitrarily delimit the concept of ‘universe,” by inventing a ‘beginning’, destroys the concept of ‘beginning,’ making it mean a event, which is proceeded by NOTHING. It destroys the concepts of ‘cause and effect,” by inventing a new type of effect that can proceed from NOTHING.
Concepts are tools for understanding existence, not the reverse
For O’ism the concept of an axiom is not made up, and then used to arbitrarily delude ourselves into believing the universe cannot have a beginning.
No, the procedure is reversed. All concepts including axiomatic concepts are selected to describe what we, first, observe about the nature of reality.
In this case, the concept of ‘universe’ is used to describe everything that is.
In the case of the concept of axiom, it to is not arbitrarily invented, it is a tool to describe what we find when we observe and conceptualize existence. It is no different from observing an object which moves its self around, hops, and has long ears, then needing a concept to differentiated from all other animals, and using the concept “rabbit.” So, what fact of reality does an axiom identify?
In ITOE, Ayn Rand puts the point:
“An axiomatic concept is the identification of a primary fact of reality, which cannot be analyzed, i.e., reduced to other facts or broken into component parts. It is implicit in all facts and in all knowledge. It is the fundamentally given and directly perceived or experienced, which requires no proof or explanation, but on which all proofs and explanations rest” (55)
Granted this is very abstract, and difficult to understand, but an axiom is a concept designating a certain kind of fact which is first observed. When we look out into the world, we find certain phenomena, which can not , by their nature, be analyzed any further. Existence is such a concept. There is no way to analyze the concept of existence any further, because all we can relate existence to, is other existence, which doesn’t help us. Therefore, we need a concept to describe this phenomena. The concept of axiom is such a concept.
The concept of universe is such a primary concept.
Again, the proper use of concepts is not the other way around. It is not, first make-up concepts, then impose them on reality. NO. It is look out at reality, and select and utilize concepts to describe what we find.
In the case of axioms, and/or axiomatic concepts: these concepts, like all other concepts are selected and applied to make sense of what we observe
AGAIN: not the other way around!
External world then concepts, NOT concepts then external world.
Existence first, consciousness next.
Not consciousness first, then the external world.
In Galt’s Speech, in “Atlas Shrugged”, Ayn Rand states the point this way,
"If nothing exists, there can be no consciousness: a consciousness with nothing to be conscious of is a contradiction in terms. A consciousness conscious of nothing but itself is a contradiction in terms: before it could identify itself as consciousness, it had to be conscious of something. If that which you claim to perceive does not exist, what you possess is not consciousness” (933).