Combining Texts

All the ideas for 'Theory of Knowledge (2nd edn)', 'Mr Strawson on Logical Theory' and 'Realism in Mathematics'

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


16 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Most philosophers start with reality and then examine knowledge; Descartes put the study of knowledge first [Lehrer]
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 / 4. Conceptual Analysis
You cannot demand an analysis of a concept without knowing the purpose of the analysis [Lehrer]
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 / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
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]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
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]
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]