Combining Texts

All the ideas for 'Defending the Axioms', 'Philosophy of Language' and 'On the Happy Life'

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25 ideas

1. Philosophy / A. Wisdom / 2. Wise People
13560 A wise man is not subservient to anything [Seneca]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
15163 The interest of quantified modal logic is its metaphysical necessity and essentialism [Soames]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
15158 Indefinite descriptions are quantificational in subject position, but not in predicate position [Soames]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
15157 Recognising the definite description 'the man' as a quantifier phrase, not a singular term, is a real insight [Soames]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
15156 The universal and existential quantifiers were chosen to suit mathematics [Soames]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
10. Modality / A. Necessity / 5. Metaphysical Necessity
15161 There are more metaphysically than logically necessary truths [Soames]
15162 We understand metaphysical necessity intuitively, from ordinary life [Soames]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
15152 To study meaning, study truth conditions, on the basis of syntax, and representation by the parts [Soames]
15153 Tarski's account of truth-conditions is too weak to determine meanings [Soames]
19. Language / D. Propositions / 4. Mental Propositions
15154 We should use cognitive states to explain representational propositions, not vice versa [Soames]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
13558 The supreme good is harmony of spirit [Seneca]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
13559 I seek virtue, because it is its own reward [Seneca]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
13561 Virtue is always moderate, so excess need not be feared [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
13562 It is shameful to not even recognise your own slaves [Seneca]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
13564 There is far more scope for virtue if you are wealthy; poverty only allows endurance [Seneca]
13563 Why does your wife wear in her ears the income of a wealthy house? [Seneca]
13565 If wealth was a good, it would make men good [Seneca]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
13557 Unfortunately the majority do not tend to favour what is best [Seneca]