Combining Texts

All the ideas for 'Boole calculus and the Concept script', 'Equality' and 'Mathematics without Numbers'

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12 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
We don't judge by combining subject and concept; we get a concept by splitting up a judgement [Frege]
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]
The ideal of acceptability to each individual underlies the appeal to equality [Nagel]
In judging disputes, should we use one standard, or those of each individual? [Nagel]
25. Social Practice / B. Equalities / 2. Political equality
Equality can either be defended as good for society, or as good for individual rights [Nagel]
Equality nowadays is seen as political, social, legal and economic [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]