Hi Brendan,
My apologies for the delay in replying. No problem-- I've been busy lately, so I've needed the extra time.
"Mental entities which subsume referents" and "meaningful mental entities" are very general terms, and trotting out the definition is insufficient as a demonstration, since the definition can be obtained from the dictionary. What I was looking for was a demonstration of the derivation of “definite” using Rand’s method: percept, differentiation, similarity, unit, definition, word.
That would require choosing an example of a concept based on a real world object -- “table” would do -- and showing how we could derive the concept of “definite” from that example.
Well, we don't really 'derive' concepts from examples, we take a group of existents that have something in common and regard them, mentally, as an abstract concept of which each such existent is a unit. Of course, this is possible, simply by tracing through referents until you reach concepts whose referents are first-level. First-level concepts are those with referents which are directly perceived, like the concept "table" you mention.
The reason I ask is because Rand is a radical empiricist, who claims that all knowledge is derived from experience of the external world.
Well, yes, but also you have logic (the art of non-contradictory identification) to help yourself along, too. While it's true that the laws of logic are also derived from experience, but they become powerful tools in deriving truth in an abstract setting (such as mathematics, or epistemology).
Given that claim, a concept such as “definite” must be ultimately grounded in the experience or observation of a real-world object. So let us see a demonstration of that. Okay. Note that for most concepts, this would involve an extremely long chain of unpacking referents from concepts, but in this case I think I can do it in three levels of abstraction.
First, I'll find referents for "definite." I'll do this from my own perspective. By my last post, the concepts "red" and "green" are subsumed under "definite", since I can tell the difference between red and not red, green and not green. You can find two red objects and two green objects from which to form these concepts, I trust.
The next part is what I differentiate "red" and "green" from. This will be a mental entity which I do not know exactly to what in reality it refers. Take, for example, Sartre's example of a "noughting-nought". I have no idea to what this refers, but it's clear that Sartre meant something by it (or at least he thought so). Therefore, as a mental entity, I can recognize "noughting-nought" without knowing exactly to what it refers (it's one of those anti-concepts). As such it is indefinite, by the definition in my last post. Moreover, this is a mental entity which is directly perceivable via introspection (and I first formed the 'idea', if you can call it that, by reading about it in Rand's IOE).
So there you go: two red objects, two green objects, and the anti-concept of "noughting-nought" that Sartre tried to delude people with can form the concept "definite". Even though I gave you an example this time, don't expect me to go through this process for any word you claim, since it could get much more complicated than this. This illustrates the point of why we have concepts in the first place-- without them we could never reach the levels of abstraction needed to understand this world, let alone to live in it.
While you are thinking about it, you may like to reconcile the following claims: 1) “A mental entity is 'definite' if you know to which existents it refers.” 2) “A mental entity is 'open-ended' if it subsumes an unlimited number of referents.”
You seem to be claiming knowledge not only of the objects that you can observe but also of those you cannot. What observations lead you to conclude that a mental entity can subsume an “unlimited number of referents?
No that's not what I'm saying-- how can I make an honest claim about something I haven't observed yet? I'm merely saying by open-ended that the concept doesn't just refer to a fixed number of referents, and that another existent may come along which is a referent of the concept. By definite, I mean that when I observe an existent, I can determine whether it is a referent of the concept or not, not that I somehow know all of the referents of a concept beforehand.
I suppose that the use of the term "unlimited" needs to be further explained here-- it doesn't necessarily mean infinite. That was why I gave that example of tires to Daniel-- there are only a finite number of tires in the world at a given time, but you could always make a new one which could be correctly identified as a tire.
Nate
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