Combining Philosophers

Ideas for Brad W. Hooker, Huw Price and Ian Rumfitt

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2 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5

12204	The logic of metaphysical necessity is S5 [Rumfitt]
	Full Idea: It is a widely accepted thesis that the logic of metaphysical necessity is S5.
	From: Ian Rumfitt (Logical Necessity [2010], §5)
	A reaction: Rumfitt goes on to defend this standard view (against Dummett's defence of S4). The point, I take it, is that one can only assert that something is 'true in all possible worlds' only when the worlds are all accessible to one another.

18814	'Absolute necessity' would have to rest on S5 [Rumfitt]
	Full Idea: If there is such a notion as 'absolute necessity', its logic is surely S5.
	From: Ian Rumfitt (The Boundary Stones of Thought [2015], 3.3)
	A reaction: There are plenty of people (mainly in the strict empiricist tradition) who don't believe in 'absolute' necessity.