Combining Texts

All the ideas for 'Necessary Existents', 'What are Sets and What are they For?' and 'Human Personality'

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

29 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
23755 Genius and love of truth are always accompanied by great humility [Weil]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243 The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245 Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
14246 If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
23747 What is sacred is not a person, but the whole physical human being [Weil]
18. Thought / A. Modes of Thought / 1. Thought
23756 The mind is imprisoned and limited by language, restricting our awareness of wider thoughts [Weil]
19. Language / D. Propositions / 3. Concrete Propositions
19216 Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
23758 Beauty is an attractive mystery, leaving nothing to be desired [Weil]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
23760 All we need are the unity of justice, truth and beauty [Weil]
22. Metaethics / B. Value / 2. Values / c. Life
23748 The sacred in every human is their expectation of good rather than evil [Weil]
22. Metaethics / B. Value / 2. Values / g. Love
23759 Everything which originates in love is beautiful [Weil]
22. Metaethics / B. Value / 2. Values / j. Evil
23762 Evil is transmitted by comforts and pleasures, but mostly by doing harm to people [Weil]
24. Political Theory / D. Ideologies / 8. Socialism
23750 It is not more money which the wretched members of society need [Weil]
24. Political Theory / D. Ideologies / 9. Communism
23749 The problem of the collective is not suppression of persons, but persons erasing themselves [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
23753 People absurdly claim an equal share of things which are essentially privileged [Weil]
25. Social Practice / C. Rights / 1. Basis of Rights
23751 Rights are asserted contentiously, and need the backing of force [Weil]
23752 Giving centrality to rights stifles all impulses of charity [Weil]
25. Social Practice / D. Justice / 1. Basis of justice
23757 The spirit of justice needs the full attention of truth, and that attention is love [Weil]
23761 Justice (concerning harm) is distinct from rights (concerning inequality) [Weil]
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
23764 The only thing in society worse than crime is repressive justice [Weil]
23763 Punishment aims at the good for men who don't desire it [Weil]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
23754 The only choice is between supernatural good, or evil [Weil]