I 26ff
Concept/Frege/Geach: the meaning of "people" is not "many people", but the concept.
I 220
Concept/GeachVsFrege: Frege: "The concept horse is not a concept" - i.e. it must be an object: this is a fallacy! - Not objects are realized, but concepts. - (The former is not falsehood, but nonsense).
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Description level, >
Level/Order, >
Senseless, >
Object.
>Correct: E.g. "The concept human being is realized" is divided into "human being" and "the concept ... is realized" - the latter = "something is a...".
What cannot be divided like this, is meaningless: E.g. "the concept human being is timeless".
I 226
Concept/Frege/Geach: Frege has a purely extensional view - therefore he deals not with the "sense of the name", but the reference of the predicate.
((s) reference/(s): set of designated objects = extension.)
>
Extension.
But:
Extension/Frege/Geach: = object
Concept/Frege: not an object!
Reason: the concept is unsaturated, the object is saturated.
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Saturated/unsaturated/Frege.
"Red" does not stand for a concept, otherwise the concept would be a name.
>
Name/Frege.
I 228f
Concept/Geach: "The concept horse" is not a concept, because otherwise concepts would have names - (...+...) - Nor is a concept a logical unit. - No more than e.g. "Napoleon was a great general and the conqueror of Napoleon was a great general". - E.g. "A man is wise" is not an instance of "___ is wise" ("a man" is not a name), but of a derived predicate "a ... is wise".
Sentence/Geach: sentences from which "the concept of human being" cannot be eliminated are pointless! - E.g. "The concept human being is an abstract entity". - Sentences about concepts need a quantifier.
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Quantifier, >
Quantification, >
Sentence/Geach.
I 230
Concept/Geach: a concept cannot have a proper name. - Instead, we refer the concept with the predicate.
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Predicate/Geach, >
Predicate/Frege.
VsFrege: he uses pseudo-proper names for concepts: "The extension of the concept x cut the throat of x'." Pseudo-name: "the concept x cut x".
>
Names/Geach.
Geach: correct: the name of the extension is "the range of x for x cut the throat of x'."
I 234
Concept/Object/Quine: the distinction between concept and object is unnecessary!
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Concept/Quine, >
Object/Quine.
GeachVsQuine: it is necessary! - Quine's disguised distinction between class and element corresponds to it.
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Element relation/Quine, >
Class/Quine.