Combining Texts

All the ideas for 'fragments/reports', 'The Structure of Paradoxes of Self-Reference' and '64: Gryllus - on Rationality in Animals'

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13 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]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Being manly and brave is the result of convention, not of human nature [Plutarch]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Animals have not been led into homosexuality, because they value pleasure very little [Plutarch]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle]