| | Hi Jordan,
You wrote:
I don’t think Objectivists think that axioms are justified by the facts. Like Rand was saying, an axiom is a “primary fact” that can’t be “reduced to other facts.”
What Rand said makes sense to me only if she is speaking on two levels at once -- general and specific. Axioms are clearly general. While they may not be "reduced to" specific facts, they are generalizations from specific facts. Specific facts do explain and justify them.
Peikoff said as much in OPAR. He said something like, “axioms can’t be proved, just validated.” In other words, reference to other facts won’t help justify (i.e., give reason to accept, believe, use, rely on - explain how you know) an axiom.
I agree on the first part, but not the last sentence. Validation is a kind of justification in my view. Also, Peikoff wrote:
One knows that the axioms are true not by inference of any kind, but by sense perception. When one perceives a tomato, for example, there is no evidence that it exists, beyond the fact that one perceives it; there is no evidence that it is something, beyond the fact that one perceives it; and there is no evidence that one is aware, beyond the fact that one is perceiving it. ... What is true of tomatoes applies equally to oranges, buildings, people, music and stars. What philosophy does is to give an abstract statement of such self-evident facts. Philosophy states these facts in universal form. ... The above is the validation of the Objectivist axioms (OPAR, 8).
You wrote:
Then what are the axioms for? I thought Objectivists use them to justify perception, i.e., those concrete facts of reality.
I would turn the second sentence around -- perception justifies (validates) the axioms. Ayn Rand gave some answers to the question.
Axiomatic concepts are the constants of man's consciousness, the cognitive integrators that identify and thus protect its continuity" (ITOE, 56). It is axiomatic concepts that identify the precondition of knowledge: the distinction between existence and consciousness, between reality and awareness of reality, between the object and the subject of cognition. Axiomatic concepts are the foundation of objectivity" (ITOE, 57).
I also refer you to Tibor Machan's essay Evidence of Necessary Existence in Objectivity 1, 4 (1992), which includes:
Rand seem[s] to be simultaneously committed both to rationalist foundationalism, which seeks foundations in the broadest, most abstract principles, and to empiricist foundationalism, which seeks foundations in sensed or perceived particulars.
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