Combining Texts

All the ideas for 'fragments/reports', 'Is There a Marxist Doctrine?' and 'Knowledge and the Philosophy of Number'

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13 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
3. Truth / A. Truth Problems / 3. Value of Truth
Most people won't question an idea's truth if they depend on it [Weil]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Weakness of will is the inadequacy of the original impetus to carry through the action [Weil]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
In a violent moral disagreement, it can't be that both sides are just following social morality [Weil]
25. Social Practice / E. Policies / 1. War / b. Justice in war
When war was a profession, customary morality justified any act of war [Weil]