Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Miscellaneous Observations' and 'The Rationality of Science'

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31 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
For science to be rational, we must explain scientific change rationally [Newton-Smith]
We do not wish merely to predict, we also want to explain [Newton-Smith]
The real problem of science is how to choose between possible explanations [Newton-Smith]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Critics attack positivist division between theory and observation [Newton-Smith]
Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith]
3. Truth / A. Truth Problems / 3. Value of Truth
If man sacrifices truth he sacrifices himself, by acting against his own convictions [Novalis]
3. Truth / A. Truth Problems / 6. Verisimilitude
More truthful theories have greater predictive power [Newton-Smith]
Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Delusion and truth differ in their life functions [Novalis]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
9. Objects / D. Essence of Objects / 3. Individual Essences
Refinement of senses increasingly distinguishes individuals [Novalis]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
De re necessity arises from the way the world is [Newton-Smith]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We must assess the truth of beliefs in identifying them [Newton-Smith]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Experiences tests reason, and reason tests experience [Novalis]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith]
14. Science / A. Basis of Science / 1. Observation
A full understanding of 'yellow' involves some theory [Newton-Smith]
14. Science / A. Basis of Science / 5. Anomalies
All theories contain anomalies, and so are falsified! [Newton-Smith]
The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith]
Anomalies are judged against rival theories, and support for the current theory [Newton-Smith]
14. Science / B. Scientific Theories / 1. Scientific Theory
Why should it matter whether or not a theory is scientific? [Newton-Smith]
14. Science / B. Scientific Theories / 5. Commensurability
If theories are really incommensurable, we could believe them all [Newton-Smith]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The seat of the soul is where our inner and outer worlds interpenetrate [Novalis]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Explaining an action is showing that it is rational [Newton-Smith]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Only self-illuminated perfect individuals are beautiful [Novalis]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion needs an intermediary, because none of us can connect directly to a godhead [Novalis]