Combining Texts

All the ideas for 'fragments/reports', 'On the Infinite' and 'Tusculan Disputations'

expand these ideas     |    start again     |     specify just one area for these texts


21 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 / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Some reasonings are stronger than we are [Philolaus]
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]