Ideas from 'On Concept and Object' by Gottlob Frege [1892], by Theme Structure

[found in 'Translations from the Writings of Gottlob Frege' by Frege,Gottlob (ed/tr Geach,P. /Black,Max) [Blackwell 1980,0-631-12911-1]].

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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
A thought can be split in many ways, so that different parts appear as subject or predicate
6. Mathematics / B. Foundations for Mathematics / 4. Definitions of Number / c. Fregean numbers
There is the concept, the object falling under it, and the extension (a set, which is also an object)
7. Existence / A. Nature of Existence / 8. Criterion for Existence
Frege mistakenly takes existence to be a property of concepts, instead of being about things
8. Modes of Existence / B. Properties / 10. Properties as Predicates
It is unclear whether Frege included qualities among his abstract objects
9. Objects / A. Existence of Objects / 3. Objects in Thought
Frege's 'objects' are both the referents of proper names, and what predicates are true or false of
18. Thought / D. Concepts / 2. Ontology of Concepts / c. Fregean concepts
Frege equated the concepts under which an object falls with its properties
18. Thought / D. Concepts / 4. Concepts and Language / b. Concepts are linguistic
As I understand it, a concept is the meaning of a grammatical predicate
19. Language / B. Meaning / 2. Meaning as Mental
Frege felt that meanings must be public, so they are abstractions rather than mental entities
19. Language / E. Propositions / 4. Support for Propositions
For all the multiplicity of languages, mankind has a common stock of thoughts