Combining Texts

All the ideas for 'Mechanisms', 'The Power of Words' and 'Knowledge and the Philosophy of Number'

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18 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
14. Science / B. Scientific Theories / 2. Aim of Science
Empiricist theories are sets of laws, which give explanations and reductions [Glennan]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan]
Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan]
Mechanisms are either systems of parts or sequences of activities [Glennan]
17th century mechanists explained everything by the kinetic physical fundamentals [Glennan]
Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan]
24. Political Theory / D. Ideologies / 3. Conservatism
National leaders want to preserve necessary order - but always the existing order [Weil]
24. Political Theory / D. Ideologies / 14. Nationalism
National prestige consists of behaving as if you could beat the others in a war [Weil]
25. Social Practice / E. Policies / 1. War / a. Just wars
Modern wars are fought in the name of empty words which are given capital letters [Weil]
26. Natural Theory / C. Causation / 4. Naturalised causation
Since causal events are related by mechanisms, causation can be analysed in that way [Glennan]