Combining Texts

All the ideas for 'Commentary on 'De Anima'', 'Formal and Material Consequence' and 'The Concept of Logical Consequence'

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12 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
If logic is topic-neutral that means it delves into all subjects, rather than having a pure subject matter [Read]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt]
Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]
Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]
If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
X follows from sentences K iff every model of K also models X [Tarski]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical connectives contain no information, but just record combination relations between facts [Read]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Conditionals are just a shorthand for some proof, leaving out the details [Read]
19. Language / E. Analyticity / 1. Analytic Propositions
Sentences are 'analytical' if every sequence of objects models them [Tarski]
22. Metaethics / B. Value / 2. Values / e. Death
The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus]