Combining Texts
Ideas for
'What is Logic?st1=Ian Hacking', 'The Philosophy of Logical Atomism' and 'Russell's Ontological Development'
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13 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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13845
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The various logics are abstractions made from terms like 'if...then' in English [Hacking]
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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
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13840
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First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
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13844
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A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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13842
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Second-order completeness seems to need intensional entities and possible worlds [Hacking]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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6092
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In a logically perfect language, there will be just one word for every simple object [Russell]
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6101
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Romulus does not occur in the proposition 'Romulus did not exist' [Russell]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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13837
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With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
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5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
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13839
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Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
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6102
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You can understand 'author of Waverley', but to understand 'Scott' you must know who it applies to [Russell]
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10423
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There are a set of criteria for pinning down a logically proper name [Russell, by Sainsbury]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
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7744
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Treat description using quantifiers, and treat proper names as descriptions [Russell, by McCullogh]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
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10426
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A name has got to name something or it is not a name [Russell]
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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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13843
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If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
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