Combining Texts

All the ideas for 'Meno', 'Introduction to Zermelo's 1930 paper' and 'Lectures on the Philosophy of (World) History'

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18 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Spiritual qualities only become advantageous with the growth of wisdom [Plato]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
If we look at the world rationally, the world assumes a rational aspect [Hegel]
2. Reason / A. Nature of Reason / 1. On Reason
The world seems rational to those who look at it rationally [Hegel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
5. Theory of Logic / L. Paradox / 2. Aporiai
How can you seek knowledge of something if you don't know it? [Plato]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
True opinions only become really valuable when they are tied down by reasons [Plato]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
Seeking and learning are just recollection [Plato]
The slave boy learns geometry from questioning, not teaching, so it is recollection [Plato]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
As a guide to action, true opinion is as good as knowledge [Plato]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
You don't need to learn what you know, and how do you seek for what you don't know? [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
It seems that virtue is neither natural nor taught, but is a divine gift [Plato]
Is virtue taught, or achieved by practice, or a natural aptitude, or what? [Plato]
If virtue is a type of knowledge then it ought to be taught [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Even if virtues are many and various, they must have something in common to make them virtues [Plato]
How can you know part of virtue without knowing the whole? [Plato]