Combining Texts

All the ideas for 'Ethical Studies', 'Letter to Menoeceus' and 'Principles of Arithmetic, by a new method'

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


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]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
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 / 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]
Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]
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]