Combining Texts

All the ideas for 'Mathematical Logic (revised)', 'Properties' and 'Abstract of 'The Fourfold Root''

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12 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]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
We might do without names, by converting them into predicates [Quine, by Kirkham]
8. Modes of Existence / B. Properties / 2. Need for Properties
We accept properties because of type/tokens, reference, and quantification [Edwards]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Quineans say that predication is primitive and inexplicable [Edwards]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Resemblance nominalism requires a second entity to explain 'the rose is crimson' [Edwards]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
That a whole is prior to its parts ('priority monism') is a view gaining in support [Edwards]
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]
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]