Combining Texts

All the ideas for 'fragments/reports', 'What is Logic?' and 'Appearance and Reality'

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21 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
5182 Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
6864 Metaphysics is finding bad reasons for instinctive beliefs [Bradley]
2. Reason / D. Definition / 3. Types of Definition
13838 A decent modern definition should always imply a semantics [Hacking]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
13834 Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
13835 Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
13833 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13845 The various logics are abstractions made from terms like 'if...then' in English [Hacking]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
13840 First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
13844 A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
13842 Second-order completeness seems to need intensional entities and possible worlds [Hacking]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
13837 With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
13839 Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
10999 Names need a means of reidentifying their referents [Bradley, by Read]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
13843 If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
8. Modes of Existence / A. Relations / 2. Internal Relations
6422 Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell]
7966 Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
6404 British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling]
22299 Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter]
21343 Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
6406 Reality is one, because plurality implies relations, and they assert a superior unity [Bradley]