Combining Texts

All the ideas for '(Nonsolipsistic) Conceptual Role Semantics', 'Logicism Revisited' and 'Sophistical Refutations'

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


31 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Didactic argument starts from the principles of the subject, not from the opinions of the learner [Aristotle]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Reasoning is a way of making statements which makes them lead on to other statements [Aristotle]
2. Reason / A. Nature of Reason / 6. Coherence
Reasoning aims at increasing explanatory coherence [Harman]
Reason conservatively: stick to your beliefs, and prefer reasoning that preserves most of them [Harman]
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic aims to start from generally accepted opinions, and lead to a contradiction [Aristotle]
2. Reason / C. Styles of Reason / 3. Eristic
Competitive argument aims at refutation, fallacy, paradox, solecism or repetition [Aristotle]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
We have a theory of logic (implication and inconsistency), but not of inference or reasoning [Harman]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
'Are Coriscus and Callias at home?' sounds like a single question, but it isn't [Aristotle]
I might accept P and Q as likely, but reject P-and-Q as unlikely [Harman]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
7. Existence / D. Theories of Reality / 3. Reality
Reality is the overlap of true complete theories [Harman]
9. Objects / D. Essence of Objects / 10. Essence as Species
Generic terms like 'man' are not substances, but qualities, relations, modes or some such thing [Aristotle]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Only if two things are identical do they have the same attributes [Aristotle]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
There is no natural border between inner and outer [Harman]
We can only describe mental attitudes in relation to the external world [Harman]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
The way things look is a relational matter, not an intrinsic matter [Harman]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
Concepts in thought have content, but not meaning, which requires communication [Harman]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Take meaning to be use in calculation with concepts, rather than in communication [Harman]
The use theory attaches meanings to words, not to sentences [Harman]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Meaning from use of thoughts, constructed from concepts, which have a role relating to reality [Harman]
Some regard conceptual role semantics as an entirely internal matter [Harman]
The content of thought is relations, between mental states, things in the world, and contexts [Harman]
19. Language / F. Communication / 3. Denial
If one proposition negates the other, which is the negative one? [Harman]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Mastery of a language requires thinking, and not just communication [Harman]