Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Remarks on axiomatised set theory' and 'Shame and Necessity'

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15 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
16. Persons / F. Free Will / 5. Against Free Will
It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B]
There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility involves cause, intention, state of mind, and response after the event [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
In bad actions, guilt points towards victims, and shame to the agent [Williams,B]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Greek moral progress came when 'virtue' was freed from social status [Williams,B]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
23. Ethics / D. Deontological Ethics / 2. Duty
The modern idea of duty is unknown in archaic Greece [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B]
If reason cannot lead people to good, we must hope they have an internal voice [Williams,B]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There is a problem of evil only if you expect the world to be good [Williams,B]