Combining Texts

All the ideas for '67: Platonic Questions', 'Number Determiners, Numbers, Arithmetic' and 'Mr Strawson on Logical Theory'

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21 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]
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 / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
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 / A. Nature of Mind / 2. Psuche
When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
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]