Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Logicism Revisited' and 'Philosophy and the Nature of Language'

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22 ideas

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 / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE]
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 / E. Categories / 5. Category Anti-Realism
If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE]
A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE]
The verification principle itself seems neither analytic nor verifiable [Cooper,DE]
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE]
'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE]
19. Language / B. Reference / 1. Reference theories
Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE]
Reference need not be a hit-or-miss affair [Cooper,DE]
19. Language / C. Assigning Meanings / 3. Predicates
If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE]
19. Language / E. Analyticity / 2. Analytic Truths
An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]