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Ideas for
'', 'The Causal Theory of Names' and 'Model Theory'
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13 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
11211
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If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10478
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Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
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5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477
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|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11210
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Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
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11212
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The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
9038
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We must distinguish what the speaker denotes by a name, from what the name denotes [Evans]
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5824
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How can an expression be a name, if names can change their denotation? [Evans]
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9042
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A private intention won't give a name a denotation; the practice needs it to be made public [Evans]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
9041
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The Causal Theory of Names is wrong, since the name 'Madagascar' actually changed denotation [Evans]
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5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474
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|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10473
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Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
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10475
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A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
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10481
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Models in model theory are structures, not sets of descriptions [Hodges,W]
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