Combining Texts

All the ideas for 'fragments/reports', 'Ways of Worldmaking' and 'What is Logic?'

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26 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
17651 Without words or other symbols, we have no world [Goodman]
2. Reason / D. Definition / 3. Types of Definition
13838 A decent modern definition should always imply a semantics [Hacking]
3. Truth / A. Truth Problems / 5. Truth Bearers
17652 Truth is irrelevant if no statements are involved [Goodman]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
13833 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
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]
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 / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
13843 If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
17656 Being primitive or prior always depends on a constructional system [Goodman]
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
17661 We don't recognise patterns - we invent them [Goodman]
7. Existence / D. Theories of Reality / 3. Reality
17659 Reality is largely a matter of habit [Goodman]
7. Existence / D. Theories of Reality / 4. Anti-realism
17657 We build our world, and ignore anything that won't fit [Goodman]
7. Existence / E. Categories / 5. Category Anti-Realism
17654 A world can be full of variety or not, depending on how we sort it [Goodman]
9. Objects / F. Identity among Objects / 3. Relative Identity
17653 Things can only be judged the 'same' by citing some respect of sameness [Goodman]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
17660 Discovery is often just finding a fit, like a jigsaw puzzle [Goodman]
14. Science / B. Scientific Theories / 3. Instrumentalism
17658 Users of digital thermometers recognise no temperatures in the gaps [Goodman]
14. Science / B. Scientific Theories / 5. Commensurability
17650 We lack frames of reference to transform physics, biology and psychology into one another [Goodman]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
17655 Grue and green won't be in the same world, as that would block induction entirely [Goodman]
26. Natural Theory / A. Speculations on Nature / 1. Nature
17649 If the world is one it has many aspects, and if there are many worlds they will collect into one [Goodman]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]