Combining Texts

All the ideas for 'The Rationality of Science', 'Maths as a Science of Patterns' and 'Primitive Thisness and Primitive Identity'

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37 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 / 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]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
There are too many mathematical objects for them all to be mental or physical [Resnik]
Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
A 'thisness' is a thing's property of being identical with itself (not the possession of self-identity) [Adams,RM]
There are cases where mere qualities would not ensure an intrinsic identity [Adams,RM]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essences are taken to be qualitative properties [Adams,RM]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If the universe was cyclical, totally indiscernible events might occur from time to time [Adams,RM]
Two events might be indiscernible yet distinct, if there was a universe cyclical in time [Adams,RM]
Black's two globes might be one globe in highly curved space [Adams,RM]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
De re necessity arises from the way the world is [Newton-Smith]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Are possible worlds just qualities, or do they include primitive identities as well? [Adams,RM]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Possible worlds are world-stories, maximal descriptions of whole non-existent worlds [Adams,RM, by Molnar]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Adams says anti-haecceitism reduces all thisness to suchness [Adams,RM, by Stalnaker]
Haecceitism may or may not involve some logical connection to essence [Adams,RM, by Mackie,P]
Moderate Haecceitism says transworld identities are primitive, but connected to qualities [Adams,RM]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We must assess the truth of beliefs in identifying them [Newton-Smith]
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]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
Direct reference is by proper names, or indexicals, or referential uses of descriptions [Adams,RM]
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]