Combining Texts

All the ideas for 'Meno', 'Logic as Semiotic: Theory of Signs' and 'On the Introduction of Transfinite Numbers'

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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]
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 / 3. Nature of Numbers / c. Priority of numbers
Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
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]
19. Language / B. Reference / 1. Reference theories
Icons resemble their subject, an index is a natural sign, and symbols are conventional [Peirce, by Maund]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
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]
It seems that virtue is neither natural nor taught, but is a divine gift [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
How can you know part of virtue without knowing the whole? [Plato]
Even if virtues are many and various, they must have something in common to make them virtues [Plato]