Combining Texts

All the ideas for 'The Intrinsic Quality of Experience', 'Mr Strawson on Logical Theory' and 'Alfred Tarski: life and logic'

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


23 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Philosophy is largely concerned with finding the minimum that science could get by with [Quine]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Good algorithms and theories need many occurrences of just a few elements [Quine]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
The logician's '→' does not mean the English if-then [Quine]
4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
It is important that the quantification over temporal entities is timeless [Quine]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logical languages are rooted in ordinary language, and that connection must be kept [Quine]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 7. Decidability
'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
Qualities of experience are just representational aspects of experience ('Representationalism') [Harman, by Burge]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
If we understand a statement, we know the circumstances of its truth [Quine]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider]