Combining Philosophers

All the ideas for Charles Parsons, Alan Turing and Tim Button

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20 ideas

3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The coherence theory says truth is coherence of thoughts, and not about objects [Button]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Permutation Theorem: any theory with a decent model has lots of models [Button]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 2. Realism
Realists believe in independent objects, correspondence, and fallibility of all theories [Button]
7. Existence / D. Theories of Reality / 4. Anti-realism
Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button]
An ideal theory can't be wholly false, because its consistency implies a true model [Button]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button]
14. Science / A. Basis of Science / 4. Prediction
Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
Turing showed that logical rules can be specified computationally and mechanically [Turing, by Rey]
The Turing Machine is the best idea yet about how the mind works [Fodor on Turing]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test
In 50 years computers will successfully imitate humans with a 70% success rate [Turing]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A sentence's truth conditions are all the situations where it would be true [Button]