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Single Idea 9744

[filed under theme 4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T ]

Full Idea

The system T has the 'reflexive' condition imposed on its accessibility relation - that is, every world must be accessible to itself.

Gist of Idea

The system T has the 'reflexive' conditon imposed on its accessibility relation

Source

M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.8)

Book Ref

Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.19

The 4 ideas with the same theme [version imposing one condition on accessibility]:

16960 If possibilitiy is relative, that might make accessibility non-transitive, and T the correct system [Dummett]
14669 For metaphysics, T may be the only correct system of modal logic [Salmon,N]
9744 The system T has the 'reflexive' conditon imposed on its accessibility relation [Fitting/Mendelsohn]
14607 T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J]