Combining Texts

All the ideas for 'fragments/reports', 'The Theory of Logical Types' and 'reports'

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9 ideas

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Individuals don't exist, but are conventional names for sets of elements [Buddha]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
The Buddha believed the gods would eventually disappear, and Nirvana was much higher [Buddha, by Armstrong,K]
Life is suffering, from which only compassion, gentleness, truth and sobriety can save us [Buddha]