Combining Texts

Ideas for 'Logical Pluralism', 'Elimination of Metaphysics by Analysis of Language' and 'Rationale and Maxims in Study of Concepts'

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2 ideas

5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence

13253	There are several different consequence relations [Beall/Restall]
	Full Idea: We are pluralists about logical consequence because we take there to be a number of different consequence relations, each reflecting different precisifications of the pre-theoretic notion of deductive logical consequence.
	From: JC Beall / G Restall (Logical Pluralism [2006], 8)
	A reaction: I don't see how you avoid the slippery slope that leads to daft logical rules like Prior's 'tonk' (from which you can infer anything you like). I say that nature imposes logical conquence on us - but don't ask me to prove it.

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

13240	A sentence follows from others if they always model it [Beall/Restall]
	Full Idea: The sentence X follows logically from the sentences of the class K if and only if every model of the class K is also a model of the sentence X.
	From: JC Beall / G Restall (Logical Pluralism [2006], 3.2)
	A reaction: This why the symbol |= is often referred to as 'models'.