Combining Texts

All the ideas for 'Contributions of Philosophy (On Appropriation)', 'Knowledge and the Philosophy of Number' and 'The Symposium'

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


28 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
The finest branch of wisdom is justice and moderation in ordering states and families [Plato]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
When philosophy makes itself intelligible, it commits suicide [Heidegger]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Diotima said the Forms are the objects of desire in philosophical discourse [Plato, by Roochnik]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
True opinion without reason is midway between wisdom and ignorance [Plato]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
Only the gods stay unchanged; we replace our losses with similar acquisitions [Plato]
We call a person the same throughout life, but all their attributes change [Plato]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Beauty is harmony with what is divine, and ugliness is lack of such harmony [Plato]
Love of ugliness is impossible [Plato]
Beauty and goodness are the same [Plato]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Stage two is the realisation that beauty of soul is of more value than beauty of body [Plato]
Progress goes from physical beauty, to moral beauty, to the beauty of knowledge, and reaches absolute beauty [Plato]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music is a knowledge of love in the realm of harmony and rhythm [Plato]
22. Metaethics / B. Value / 2. Values / g. Love
Love follows beauty, wisdom is exceptionally beautiful, so love follows wisdom [Plato]
Love assists men in achieving merit and happiness [Plato]
Love is desire for perpetual possession of the good [Plato]
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
If a person is good they will automatically become happy [Plato]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Happiness is secure enjoyment of what is good and beautiful [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
The only slavery which is not dishonourable is slavery to excellence [Plato]
The first step on the right path is the contemplation of physical beauty when young [Plato]
28. God / A. Divine Nature / 3. Divine Perfections
Gods are not lovers of wisdom, because they are already wise [Plato]