Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Letter to Menoeceus' and 'Introduction to 'Evidentialism''

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22 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Begin philosophy when you are young, and keep going when you are old [Epicurus]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
Evidentialism says justifications supervene on the available evidence [Conee/Feldman]
16. Persons / F. Free Will / 6. Determinism / b. Fate
Sooner follow mythology, than accept the 'fate' of natural philosophers [Epicurus]
16. Persons / F. Free Will / 7. Compatibilism
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
Prudence is more valuable than philosophy, because it avoids confusions of the soul [Epicurus]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Rational decisions are either taken to be based on evidence, or to be explained causally [Conee/Feldman]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Our own choices are autonomous, and the basis for praise and blame [Epicurus]
22. Metaethics / B. Value / 2. Values / e. Death
Fearing death is absurd, because we are not present when it occurs [Epicurus]
It is absurd to fear the pain of death when you are not even facing it [Epicurus]
The wisdom that produces a good life also produces a good death [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
All pleasures are good, but it is not always right to choose them [Epicurus]
Pleasure is the goal, but as lack of pain and calm mind, not as depraved or greedy pleasure [Epicurus]
Pleasure is the first good in life [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
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
The best life is not sensuality, but rational choice and healthy opinion [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
True pleasure is not debauchery, but freedom from physical and mental pain [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
We only need pleasure when we have the pain of desire [Epicurus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Prudence is the greatest good, and more valuable than philosophy, because it produces virtue [Epicurus]