Combining Texts

All the ideas for 'fragments/reports', 'Principles of Arithmetic, by a new method' and 'Tusculan Disputations'

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16 ideas

1. Philosophy / A. Wisdom / 2. Wise People
A wise man has integrity, firmness of will, nobility, consistency, sobriety, patience [Cicero]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy is the collection of rational arguments [Cicero]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
The soul is the heart, or blood in the heart, or part of the brain, of something living in heart or brain, or breath [Cicero]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
How can one mind perceive so many dissimilar sensations? [Cicero]
The soul has a single nature, so it cannot be divided, and hence it cannot perish [Cicero]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Like the eye, the soul has no power to see itself, but sees other things [Cicero]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Souls contain no properties of elements, and elements contain no properties of souls [Cicero]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
We should not share the distress of others, but simply try to relieve it [Cicero]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
All men except philosophers fear poverty [Cicero]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
If one despises illiterate mechanics individually, they are not worth more collectively [Cicero]