Combining Texts

All the ideas for 'fragments/reports', 'Nature and Utility of Religion' and 'The Structure of Paradoxes of Self-Reference'

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17 ideas

5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
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]