Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Continuity and Irrational Numbers' and 'Equality'

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14 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
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]