Combining Texts

All the ideas for 'Defending the Axioms', 'Letter to Menoeceus' and 'The Structure and Content of Truth'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
14052 Begin philosophy when you are young, and keep going when you are old [Epicurus]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
18902 Correspondence theories can't tell you what truths correspond to [Davidson]
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 / 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]
16. Persons / F. Free Will / 6. Determinism / b. Fate
14062 Sooner follow mythology, than accept the 'fate' of natural philosophers [Epicurus]
16. Persons / F. Free Will / 7. Compatibilism
1837 We should not refer things to irresponsible necessity, but either to fortune or to our own will [Epicurus]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
1836 Prudence is more valuable than philosophy, because it avoids confusions of the soul [Epicurus]
20. Action / C. Motives for Action / 4. Responsibility for Actions
14061 Our own choices are autonomous, and the basis for praise and blame [Epicurus]
22. Metaethics / B. Value / 2. Values / e. Death
14053 It is absurd to fear the pain of death when you are not even facing it [Epicurus]
14055 The wisdom that produces a good life also produces a good death [Epicurus]
14054 Fearing death is absurd, because we are not present when it occurs [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
1833 Pleasure is the first good in life [Epicurus]
14057 All pleasures are good, but it is not always right to choose them [Epicurus]
14058 Pleasure is the goal, but as lack of pain and calm mind, not as depraved or greedy pleasure [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
14063 Sooner a good decision going wrong, than a bad one turning out for the good [Epicurus]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
14059 The best life is not sensuality, but rational choice and healthy opinion [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
1835 True pleasure is not debauchery, but freedom from physical and mental pain [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
14056 We only need pleasure when we have the pain of desire [Epicurus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
14060 Prudence is the greatest good, and more valuable than philosophy, because it produces virtue [Epicurus]