Combining Texts

All the ideas for 'Abstract of 'The Fourfold Root'', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Natural Minds'

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


14 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
'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 / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
11. Knowledge Aims / A. Knowledge / 2. Understanding
All understanding is an immediate apprehension of the causal relation [Schopenhauer]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
The mind and the self are one, and the mind-self is a biological phenomenon [Polger]
16. Persons / C. Self-Awareness / 2. Knowing the Self
What we know in ourselves is not a knower but a will [Schopenhauer]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
Teleological functions explain why a trait exists; causal-role functions say what it does [Polger]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
A mummified heart has the teleological function of circulating blood [Polger]
Teleological notions of function say what a thing is supposed to do [Polger]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]