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All the ideas for 'Frege on Apriority (with ps)', 'Mathematics, Science and Language' and 'Philosophy of Science'

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14 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
14. Science / A. Basis of Science / 6. Falsification
If a theory is more informative it is less probable [Gorham]
Why abandon a theory if you don't have a better one? [Gorham]
14. Science / B. Scientific Theories / 1. Scientific Theory
Is Newton simpler with universal simultaneity, or Einstein simpler without absolute time? [Gorham]
Structural Realism says mathematical structures persist after theory rejection [Gorham]
Structural Realists must show the mathematics is both crucial and separate [Gorham]
14. Science / B. Scientific Theories / 3. Instrumentalism
Theories aren't just for organising present experience if they concern the past or future [Gorham]
For most scientists their concepts are not just useful, but are meant to be true and accurate [Gorham]
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
Consilience makes the component sciences more likely [Gorham]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Aristotelian physics has circular celestial motion and linear earthly motion [Gorham]