Combining Texts

All the ideas for 'Abstract of 'The Fourfold Root'', 'Universal Arithmetick' and 'Expositio super viii libros'

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10 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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
17783 A number is not a multitude, but a unified ratio between quantities [Newton]
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 / 1. Knowledge
9089 Knowledge is a quality existing subjectively in the soul [William of Ockham]
9091 Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]
11. Knowledge Aims / A. Knowledge / 2. Understanding
4190 All understanding is an immediate apprehension of the causal relation [Schopenhauer]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
9090 Knowledge is certain cognition of something that is true [William of Ockham]
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]