Combining Texts

All the ideas for 'works', 'Utilitarianism' and 'Knowledge and the Philosophy of Number'

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26 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Do new ideas increase the weight of the brain? [Dance]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will, in the beginning, is entirely produced by desire [Mill]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
With early training, any absurdity or evil may be given the power of conscience [Mill]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Motive shows the worth of the agent, but not of the action [Mill]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtues only have value because they achieve some further end [Mill]
23. Ethics / D. Deontological Ethics / 2. Duty
Orthodox morality is the only one which feels obligatory [Mill]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism only works if everybody has a totally equal right to happiness [Mill]
The English believe in the task of annihilating evil for the victory of good [Nietzsche on Mill]
Mill's qualities of pleasure is an admission that there are other good states of mind than pleasure [Ross on Mill]
Actions are right if they promote pleasure, wrong if they promote pain [Mill]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
Ultimate goods such as pleasure can never be proved to be good [Mill]
Only pleasure and freedom from pain are desirable as ends [Mill]
Better to be Socrates dissatisfied than a fool satisfied [Mill]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
General happiness is only desirable because individuals desire their own happiness [Mill]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
Moral rules protecting human welfare are more vital than local maxims [Mill]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Rights are a matter of justice, not of benevolence [Mill]
No individual has the right to receive our benevolence [Mill]
25. Social Practice / C. Rights / 1. Basis of Rights
A right is a valid claim to society's protection [Mill]