Combining Texts

All the ideas for 'Symposium', 'The Structure of Paradoxes of Self-Reference' and 'Equality'

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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
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
23. Ethics / D. Deontological Ethics / 3. Universalisability
The general form of moral reasoning is putting yourself in other people's shoes [Nagel]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
An egalitarian system must give priority to those with the worst prospects in life [Nagel]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality was once opposed to aristocracy, but now it opposes public utility and individual rights [Nagel]
In judging disputes, should we use one standard, or those of each individual? [Nagel]
The ideal of acceptability to each individual underlies the appeal to equality [Nagel]
25. Social Practice / B. Equalities / 2. Political equality
Equality nowadays is seen as political, social, legal and economic [Nagel]
Equality can either be defended as good for society, or as good for individual rights [Nagel]
25. Social Practice / C. Rights / 1. Basis of Rights
A morality of rights is very minimal, leaving a lot of human life without restrictions or duties [Nagel]