Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Nature and Utility of Religion' and 'The Philosophy of Mathematics'

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16 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
We don't get a love of 'order' from nature - which is thoroughly chaotic [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Evil comes from good just as often as good comes from evil [Mill]
Belief that an afterlife is required for justice is an admission that this life is very unjust [Mill]
No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
Nature dispenses cruelty with no concern for either mercy or justice [Mill]
Killing is a human crime, but nature kills everyone, and often with great tortures [Mill]
Nature makes childbirth a miserable experience, often leading to the death of the mother [Mill]
Hurricanes, locusts, floods and blight can starve a million people to death [Mill]