Combining Texts

All the ideas for 'Mathematics without Numbers', 'Models' and 'The Common-Sense View of Reality'

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16 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Metaphysics is hopeless with its present epistemology; common-sense realism is needed [Colvin]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / D. Theories of Reality / 2. Realism
We can only distinguish self from non-self if there is an inflexible external reality [Colvin]
Common-sense realism rests on our interests and practical life [Colvin]
7. Existence / D. Theories of Reality / 4. Anti-realism
Arguments that objects are unknowable or non-existent assume the knower's existence [Colvin]
If objects are doubted because their appearances change, that presupposes one object [Colvin]
The idea that everything is relations is contradictory; relations are part of the concept of things [Colvin]
14. Science / B. Scientific Theories / 7. Scientific Models
Theoretical models can represent, by mapping onto the data-models [Portides]
In the 'received view' models are formal; the 'semantic view' emphasises representation [Portides, by PG]
Representational success in models depends on success of their explanations [Portides]
The best model of the atomic nucleus is the one which explains the most results [Portides]
'Model' belongs in a family of concepts, with representation, idealisation and abstraction [Portides]
Models are theory-driven, or phenomenological (more empirical and specific) [Portides]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
General theories may be too abstract to actually explain the mechanisms [Portides]