Combining Texts

All the ideas for 'Reportatio', 'What Numbers Are' and 'Scientific Explanation and the Causal Structure of the World'

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Causation produces productive mechanisms; to understand the world, understand these mechanisms [Salmon]
Salmon's interaction mechanisms needn't be regular, or involving any systems [Glennan on Salmon]
28. God / A. Divine Nature / 3. Divine Perfections
God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
28. God / C. Attitudes to God / 4. God Reflects Humanity
We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]