Combining Texts

All the ideas for 'Laches', 'No Understanding without Explanation' and 'Cours d'Analyse'

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


7 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Don't assume that wisdom is the automatic consequence of old age [Plato]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Scientific understanding is always the grasping of a correct explanation [Strevens]
We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]
Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]