Combining Texts

All the ideas for 'fragments/reports', 'Human Personality' and 'Knowledge and the Philosophy of Number'

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28 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
Genius and love of truth are always accompanied by great humility [Weil]
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]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
What is sacred is not a person, but the whole physical human being [Weil]
18. Thought / A. Modes of Thought / 1. Thought
The mind is imprisoned and limited by language, restricting our awareness of wider thoughts [Weil]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
Beauty is an attractive mystery, leaving nothing to be desired [Weil]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
All we need are the unity of justice, truth and beauty [Weil]
22. Metaethics / B. Value / 2. Values / c. Life
The sacred in every human is their expectation of good rather than evil [Weil]
22. Metaethics / B. Value / 2. Values / g. Love
Everything which originates in love is beautiful [Weil]
22. Metaethics / B. Value / 2. Values / j. Evil
Evil is transmitted by comforts and pleasures, but mostly by doing harm to people [Weil]
24. Political Theory / D. Ideologies / 8. Socialism
It is not more money which the wretched members of society need [Weil]
24. Political Theory / D. Ideologies / 9. Communism
The problem of the collective is not suppression of persons, but persons erasing themselves [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
People absurdly claim an equal share of things which are essentially privileged [Weil]
25. Social Practice / C. Rights / 1. Basis of Rights
Rights are asserted contentiously, and need the backing of force [Weil]
Giving centrality to rights stifles all impulses of charity [Weil]
25. Social Practice / D. Justice / 1. Basis of justice
The spirit of justice needs the full attention of truth, and that attention is love [Weil]
Justice (concerning harm) is distinct from rights (concerning inequality) [Weil]
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
The only thing in society worse than crime is repressive justice [Weil]
Punishment aims at the good for men who don't desire it [Weil]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
The only choice is between supernatural good, or evil [Weil]