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Single Idea 18748

[filed under theme 10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds ]

Full Idea

The idea of 'impossible worlds' was introduced into epistemic logic.

Gist of Idea

Epistemic logic introduced impossible worlds

Source

Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)

Book Ref

'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.19


A Reaction

Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).


The 9 ideas from 'Mathematical Methods in Philosophy'

Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]