Combining Texts
Ideas for
'67: Platonic Questions', 'Introducing the Philosophy of Mathematics' and 'Formal and Material Consequence'
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10 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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14187
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If logic is topic-neutral that means it delves into all subjects, rather than having a pure subject matter [Read]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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14188
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Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]
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14182
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If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]
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14183
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Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]
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5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
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14184
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In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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8709
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The law of excluded middle is syntactic; it just says A or not-A, not whether they are true or false [Friend]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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14186
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Logical connectives contain no information, but just record combination relations between facts [Read]
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5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
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8711
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Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
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8675
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Paradoxes can be solved by talking more loosely of 'classes' instead of 'sets' [Friend]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
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8674
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The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend]
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