Combining Texts

All the ideas for 'fragments/reports', 'Human Personality' and 'First-Order Logic'

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27 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
23755 Genius and love of truth are always accompanied by great humility [Weil]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10282 Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
10284 There are three different standard presentations of semantics [Hodges,W]
10285 I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10287 If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10286 A 'set' is a mathematically well-behaved class [Hodges,W]
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]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
23758 Beauty is an attractive mystery, leaving nothing to be desired [Weil]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
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]