Your post made no sense to me at all.
Without trying to sound cute, I think that is part of the point - what I'm saying doesn't make sense to you because the axioms upon which we both base our logical systems appear to be at odds. Right now, we are talking across each other, discussing apples and oranges, and neither of us can get our point across to the other. I'm trying to make a conscious effort at explaining non-Euclidean geometry to an Euclidean, by framing concepts in ways similar to, but not identical, to Euclidean concepts. It's a real challenge.
Are you saying that the reason that we have to base our knowledge on the fact that existence exists is just a definition and has nothing to do with facts of reality?
Yes and no...you have constructed the above sentence in a way that actually includes two contradictory statements within my own logical system. Let me break them down:
"We base our knowledge on the fact that existence exists is just a definition..."
Existence exists _is_ an axiomatic definition. It may or may not be true, depending on whether or not the axiom is identical to one in the 'real world'. For this specific axiom, I agree that existence exists, both in the real world and in Rand's philosophy. So yes, this is a true statement. In my logical system, I believe it is a true statement based on the evidence of my senses. I perceive that I exist, and that must be true, in order for me to perceive it.....Cogito ergo sum.
The point is, the axiom does not _necessarily_ contain the condition of truth. One can construct an axiom - God Exists - which might, in fact, be false. Whether or not an axiom is true is dependent on its conditional relationship to reality, something which can be ascertained by observation (the evidence of the senses).
I guess the disconnect is this - there are two kinds of truth being discussed here. The first is 'truth within a logical system'. An axiom always contains this type of truth as a condition, because an axiom within a logical system is the _definition_ of what is considered truth within that system.
There is also 'truth' as defined as the relationship between the axioms of a specific logical system and 'reality'. A logical system can be stated to be 'true' or 'correct' IF and ONLY IF its axioms are identical to the axioms which define objective reality. It is therefore possible for an axiom to be true within its logical system and false in regard to reality. The reason this contradiction is possible is because the definition of the word axiom is flawed.
"is just a definition and has nothing to do with reality?"
This is the contradiction in your statement. I never said that an axiom has nothing to do with reality. I said the truth of an axiom is dependent upon its relationship to reality, which can only be ascertained by direct observation. Axioms do not automatically contain the condition of truth. Anyone who uses axiom as an 'automatic truth' is mistakingly granting a status to a definition which may be incorrect.
How are these definition you speak of are based on knowledge by provided by senses? All I see is that you are describing somebody standing up and making a random definition. How is this related at all to reality?
Again, you create a contradiction of yourself. So I split your statements -
"How are these definitions you speak of based on knoweldge provided by the senses?"
Within my logical framework, they are completely dependent upon physical observation. I accept Rand's empirical foundationalism. I reject her dual foundationalism because it includes rational foundationalism - it establishes certain logical foundations as axioms. I consider such rational foundations NOT as axioms, but as useful hypothesis based on physical observations, and then abstractions. Reason is a derivative, not an independent axiom.
Some philosophers may consider that to be hair splitting, but I believe it is an important distinction to maintain. The reason it is important is because it is a necessary condition for skepticism. Knowledge derived from sources
other than direct observation can be flawed if the condition exists that an axiom upon which the knowledge is based is, itself, flawed. And, by flawed, I mean the second definition of truth - the axiom does not actually reflect an axiom in 'reality'.
Falsification is also dependent on this condition. A statement cannot be falsified if it is based on an 'absolute' axiom. By holding all axiomatic truths as suspects, using them purely as definitions (as a kind of logical hypothesis used until it is, itself, falsified), it is possible to derive knowledge and correct it when that knowledge is later shown to contradict reality.
"All I see is that you are describing somebody standing up and making a random definition."
And here is your contradiction. A definition based on physical observation cannot be random. It is bounded by the observation itself.
There are logical system which propose axioms which are not based on physical observation (like Theism); I consider this to be flat wrong, and, in your words, could very well be creation definitions at random. But no system of knowledge to which I personally hold can be random, because it is strictly defined by physical observation.
In fact, Objectivism is more random than my own form of empiricism, becuase it claims to hold certain axioms which are based in rational foundationalism, which is itself not dependent strictly on physical observation.
AT