Combining Texts

All the ideas for 'Abstract of 'The Fourfold Root'', 'The History of Animals' and 'Consciousness, Philosophy and Mathematics'

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10 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]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
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]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Aristotelian explanation by essence may need to draw on knowledge of other essences [Aristotle, by Koslicki]
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]
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]
27. Natural Reality / G. Biology / 2. Life
Plants have far less life than animals, but more life than other corporeal entities [Aristotle]
27. Natural Reality / G. Biology / 3. Evolution
There is a gradual proceeding from the inanimate to animals, with no clear borderlines [Aristotle]