Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Basing Relation' and 'The Rationality of Science'

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

25 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
3853 For science to be rational, we must explain scientific change rationally [Newton-Smith]
3859 We do not wish merely to predict, we also want to explain [Newton-Smith]
3870 The real problem of science is how to choose between possible explanations [Newton-Smith]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
3855 Critics attack positivist division between theory and observation [Newton-Smith]
3854 Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith]
3. Truth / A. Truth Problems / 6. Verisimilitude
3869 More truthful theories have greater predictive power [Newton-Smith]
3861 Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith]
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 / 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 / C. Sources of Modality / 1. Sources of Necessity
3867 De re necessity arises from the way the world is [Newton-Smith]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
3872 We must assess the truth of beliefs in identifying them [Newton-Smith]
19696 There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]
19697 The basing relation of a reason to a belief should both support and explain the belief [Neta]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
3857 Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith]
14. Science / A. Basis of Science / 1. Observation
3858 A full understanding of 'yellow' involves some theory [Newton-Smith]
14. Science / A. Basis of Science / 5. Anomalies
3862 All theories contain anomalies, and so are falsified! [Newton-Smith]
3863 The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith]
3864 Anomalies are judged against rival theories, and support for the current theory [Newton-Smith]
14. Science / B. Scientific Theories / 1. Scientific Theory
3865 Why should it matter whether or not a theory is scientific? [Newton-Smith]
14. Science / B. Scientific Theories / 5. Commensurability
3866 If theories are really incommensurable, we could believe them all [Newton-Smith]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
3871 Explaining an action is showing that it is rational [Newton-Smith]