Ideas from 'Function and Concept' by Gottlob Frege [1891], by Theme Structure
[found in 'Translations from the Writings of Gottlob Frege' by Frege,Gottlob (ed/tr Geach,P/Black,M) [Blackwell 1980,0-631-12911-1]].
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expand these ideas
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
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18806
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Frege thought traditional categories had psychological and linguistic impurities [Rumfitt]
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5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
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8490
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First-level functions have objects as arguments; second-level functions take functions as arguments
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5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
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8492
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Relations are functions with two arguments
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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8487
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Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism
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7. Existence / A. Nature of Existence / 6. Criterion for Existence
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18899
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Frege takes the existence of horses to be part of their concept [Sommers]
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8. Modes of Existence / B. Properties / 10. Properties as Predicates
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4028
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Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver]
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9. Objects / A. Existence of Objects / 3. Objects in Thought
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8489
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The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place
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18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
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9947
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Concepts are the ontological counterparts of predicative expressions [George/Velleman]
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10319
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An assertion about the concept 'horse' must indirectly speak of an object [Hale]
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8488
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A concept is a function whose value is always a truth-value
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18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
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9948
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Unlike objects, concepts are inherently incomplete [George/Velleman]
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19. Language / B. Reference / 5. Speaker's Reference
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4972
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I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false
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28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
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8491
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The Ontological Argument fallaciously treats existence as a first-level concept
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