Combining Texts

All the ideas for 'Abstract of 'The Fourfold Root'', 'Later Letters to Dedekind' and 'Essay on a Problem in the Doctrine of Chances'

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

8 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
4187 'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17831 Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
4192 All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
11. Knowledge Aims / A. Knowledge / 2. Understanding
4190 All understanding is an immediate apprehension of the causal relation [Schopenhauer]
14. Science / C. Induction / 6. Bayes's Theorem
14280 The probability of two events is the first probability times the second probability assuming the first [Bayes]
16. Persons / C. Self-Awareness / 2. Knowing the Self
4191 What we know in ourselves is not a knower but a will [Schopenhauer]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
21368 The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
4189 Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]