| | Replying to Ed Thompson, Joel Catala wrote as follows: Now, let's take an example. When an Objectivist says "infinite", to what concrete is that person referring? from what material existent an Objectivist forms the concept of "infinity"? Obviously, to none, and from none. As Aristotle pointed out, there is no such thing as actual infinity. In order for something to exist, it must be something specific, and therefore have limits. Therefore, the concept of "infinity" is what Objectivism calls an "anti-concept" -- an oxymoron -- a self-contradiction, like the concept of "God," or the concept of a "disembodied soul." How is it possible to conceptualize these concepts, if they have no concrete referent in reality? Because they are contradictory composites of concepts that do have concrete referents. The concept of "infinity" incorporates the concept of a limit and the concept of negation, both of which are grasped perceptually. The concept of a disembodied soul incorporates the concept of consciousness, which is grasped by direct introspection, the concept of a body and the concept of negation (i.e., dis-embodied), which are grasped perceptually.
As for the concept of "potential infinity" as it applies to mathematics, it simply refers to the idea that as long as one is able to count, there is nothing in the number system that prevents one from adding another number to an existing total, and that idea is verified by reference to concrete reality - by reference to any act of counting. For example, suppose I have a bunch of apples in front of me, and count 10 of them. I know that if I had an extra one, I could count 11. The concept of number is derived initially from observation. For example, the referent of the number 5 is five units of anything, i.e., | | | | |. After abstracting from our observation, we can enumerate any objects we choose - apples, pears, men, women, dogs, cats, etc. Ever consider reading Intro. to Objectivist Epistemology? A referent of the concept "infinity" is not a concrete, but an immaterial entity. That immaterial entity referent of the concept "infinity" must somehow exist to make possible the formation of the same concept. This is nonsense. There is no "immaterial entity" to which the concept of "infinity" refers, just as there is no immaterial entity to which the concept of "God" refers. The same logic applied to concepts as "immateriality" or "falsehood" are perhaps more enlightening: when a person says "immateriality" from what concrete he forms the concept "immateriality"? He forms it from the concepts of "materiality" and "negation," both of which are based on an observation of reality. The concept of "falsehood" is based on the recognition that a statement or idea is at odds with the facts of reality. Immaterial entities --no "concrete" entities-- may be "in" two places at the same time... There are no immaterial entities external to the mind, which is itself an attribute of a material organism possessing physical sense organs, a brain and central nervous system. If you claim there are, then the burden of proof is on you to demonstrate their existence. Show me a disembodied consciousness; show me an immortal soul. Since you can't do it, my suggestion is to stop defending these floating abstractions. so the epistemologies departing from metaphysical naturalism, which deny the existence of immaterial entities, are necessarily wrong. (BTW, the fact that Karl Marx and the majority of leftists defend the same brand of metaphysical materialism as Objectivism perhaps should make you think it twice.) This is an argument from guilt by association. The fact that Einstein was a socialist does not render his views on physics untenable. Similarly, the fact that Marx was a communist does not render his views on the existence of God untenable. Comprehension of reality requires entities both "out there" and "in your mind." No one here is denying the existence of mental entities (i.e., concepts); what we're saying is that they must refer ultimately to some aspect of concrete reality. Morality should be recognized as fundamentally a question of metaphysics. Objectivism does not deny that morality is based ultimately on one's metaphysics. Before you can understand what actions are appropriate for human beings, you have to understand the nature of reality, which is a question of metaphysics. Is there a God, a supernatural reality over and above the natural world, or is the latter all there is. The answer to that question is crucial for determining the kind of ethics that are appropriate for living on earth. But Objectivism says that morality can be deduced from epistemology No, it doesn't! Who told you that?! For one thing, the very idea of "deducing" morality from epistemology is itself contrary to Objectivist epistemology! Objectivism isn't a rationalist philosophy. It bases its morality on an observation of what is required for man and woman to live successfully on earth. There is no "deduction" about it! (Again, the similarities between Marxist ethics and Objectivist ethics are pretty revealing.) What?? The two ethics are as far apart as one could imagine. The Marxist view of ethics - "From each according to his ability to each according to his need" - is the antipode of the Objectivist ethics - the antithesis of the virtue of selfishness! Really, Joel, this dialogue is getting tiresome. If you want to criticize Objectivism, at least take the trouble to learn what it says! From here arises the Objectivist moral short-sightedness, in where every individual must define his own ethics, thus blocking the embrace of a truly universal standard of morality for all mankind. Amazing! Again, this is a complete misrepresentation of the Objectivist ethics. According to Rand, the Objectivist ethics does indeed apply to all mankind. What did you think she was advocating - an ethics for half of mankind? Her morality applies to every single human being on earth in virtue of his or her nature as a certain kind of living organism. If you don't understand this much, then there really isn't much point in continuing to debate you. Please, go read what Rand says before you presume to criticize her. The kind of strawman arguments you are making are beyond the pale!
- Bill
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