Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'The Handbook [Encheiridion]' and 'Paradoxes of the Infinite'

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10 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
A truly infinite quantity does not need to be a variable [Bolzano]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We see nature's will in the ways all people are the same [Epictetus]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C]
If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Perhaps we should persuade culprits that their punishment is just? [Epictetus]