Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Barcan Formula and Metaphysics' and 'Mr Strawson on Logical Theory'

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

20 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
22438 Philosophy is largely concerned with finding the minimum that science could get by with [Quine]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
22436 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
22431 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
22435 The logician's '→' does not mean the English if-then [Quine]
4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
22433 It is important that the quantification over temporal entities is timeless [Quine]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
16186 The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
16187 The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
16190 BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
22437 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
22434 Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
22432 Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
16188 Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
22430 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
13713 Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider]