Combining Texts

All the ideas for 'Function and Concept', 'The Problem of Knowledge' and 'Beyond Individualism'

expand these ideas     |    start again     |     specify just one area for these texts


22 ideas

2. Reason / F. Fallacies / 1. Fallacy
Induction assumes some uniformity in nature, or that in some respects the future is like the past [Ayer]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
To say 'I am not thinking' must be false, but it might have been true, so it isn't self-contradictory [Ayer]
'I know I exist' has no counterevidence, so it may be meaningless [Ayer]
Knowing I exist reveals nothing at all about my nature [Ayer]
14. Science / A. Basis of Science / 6. Falsification
We only discard a hypothesis after one failure if it appears likely to keep on failing [Ayer]
14. Science / C. Induction / 2. Aims of Induction
Induction passes from particular facts to other particulars, or to general laws, non-deductively [Ayer]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
A concept is a function whose value is always a truth-value [Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Passion for progress is always short-lived [Sandel]
24. Political Theory / D. Ideologies / 3. Conservatism
Conservatives are either individualistic, or communal [Sandel]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Modern liberalism fails to articulate a vision of the common good [Sandel]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]