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All the ideas for 'thirty titles (lost)', 'Thinking About Mechanisms' and 'Maths as a Science of Patterns'

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23 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
6299 Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
6304 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
6300 Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
6303 Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
6295 There are too many mathematical objects for them all to be mental or physical [Resnik]
6296 Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
6301 Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
7. Existence / B. Change in Existence / 2. Processes
16554 Activities have place, rate, duration, entities, properties, modes, direction, polarity, energy and range [Machamer/Darden/Craver]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
16556 Penicillin causes nothing; the cause is what penicillin does [Machamer/Darden/Craver]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
594 Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle]
11. Knowledge Aims / A. Knowledge / 2. Understanding
16562 We understand something by presenting its low-level entities and activities [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
16563 The explanation is not the regularity, but the activity sustaining it [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
16555 Functions are not properties of objects, they are activities contributing to mechanisms [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
16529 Mechanisms are systems organised to produce regular change [Machamer/Darden/Craver]
16530 A mechanism explains a phenomenon by showing how it was produced [Machamer/Darden/Craver]
16553 Our account of mechanism combines both entities and activities [Machamer/Darden/Craver]
16559 Descriptions of explanatory mechanisms have a bottom level, where going further is irrelevant [Machamer/Darden/Craver]
16528 Mechanisms are not just push-pull systems [Machamer/Darden/Craver]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
16564 There are four types of bottom-level activities which will explain phenomena [Machamer/Darden/Craver]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
16561 We can abstract by taking an exemplary case and ignoring the detail [Machamer/Darden/Craver]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
16558 Laws of nature have very little application in biology [Machamer/Darden/Craver]
28. God / C. Attitudes to God / 5. Atheism
2632 Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero]