O.P.A.R. – Commentary: Definitions and Kant’s Analytic-Synthetic Mess

“As an aid to the conceptualizing process, men select from the total content of the concept a few characteristics; they select the ones that best condense and differentiate that content at a given stage of human development. Such a selection in no way shrinks the concept’s content; on the contrary, it presupposes the richness of the concept. It presupposes that the concept is an integration of units, including all their features.”
Leonard Peikoff, “O.P.A.R.”, pages 102-103.
(There is a lot that is wrong in Kant’s conclusion that “There must exist synthetic a priori judgements.”, but the “synthetic” part of it is due to a faulty theory of concepts, one that conflates a concept’s definition with its content.)

I don’t partake of Ayn Rand’s (and Leonard Peikoff’s) animosity toward Kant. Yet his theory makes no sense at all to me.

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O.P.A.R. – Chapter 3: Concept-Formation

“The experiment was an attempt to discover the ability of birds to deal with numbers. When crows were gathered in a clearing in some woods, one man entered the clearing and walked on into the woods. As soon as he appeared, the crows hid in the treetops; they would not come out until the man returned and left the area. Then three men entered; again the crows hid. This time only two of the men left, and the crows did not come out; they knew that one still remained. But when five men came and then four left, the crows came out, apparently confident that the danger was now over. These birds, it seems, could discriminate and deal with only three units; beyond that, the units blurred or merged in their consciousness. The crow arithmetic, in effect, would be: 1, 2, 3, many.”
Leonard Peikoff, “O.P.A.R.”, page 105.
(The “crow epistemology”, as Ayn Rand called it informally, is the principle that underlies the fundamental utility of concepts: to integrate a group of concretes into a single mental whole — a device to achieve unit-economy.)

An animal knows only a handful of perceptual concretes, and acts on them automatically. A man, by contrast, goes beyond his observations, he generalizes and identifies natural laws, he hypothesizes causal factors, and he projects alternative courses of action and long-range consequences. Man, in sum, is a conceptual being. That’s the theory, at least; in practice, we see animals all around.

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