Combining Texts

All the ideas for 'The Rationality of Science', 'The Problem of Consciousness' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

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28 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
The real problem of science is how to choose between possible explanations [Newton-Smith]
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]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith]
Critics attack positivist division between theory and observation [Newton-Smith]
3. Truth / A. Truth Problems / 6. Verisimilitude
Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith]
More truthful theories have greater predictive power [Newton-Smith]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
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]
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
The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith]
All theories contain anomalies, and so are falsified! [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 / D. Property Dualism / 6. Mysterianism
McGinn invites surrender, by saying it is hopeless trying to imagine conscious machines [Dennett on McGinn]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Multiple realisability rules out hidden essences and experts as the source of water- and gold-concepts [McGinn]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
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]