Combining Texts

All the ideas for 'Calculus Ratiocinator', 'A Completeness Theorem in Modal Logic' and 'Short History of Modern Philosophy'

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9 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic

10163

Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman]

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic

10760

With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg]

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

16189

The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]

15132

The Barcan formulas fail in models with varying domains [Kripke, by Williamson]

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

5637	Nowadays logic is seen as the science of extensions, not intensions [Scruton]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism

12742

A whole is just its parts, but there are no smallest parts, so only minds and perceptions exist [Leibniz]

18. Thought / C. Content / 2. Ideas

5636	Cartesian 'ideas' confuse concepts and propositions [Scruton]

24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights

5660	Allegiance is prior to the recognition of individual rights [Scruton]

25. Social Practice / C. Rights / 1. Basis of Rights

5653	A right is a power which is enforced in the name of justice [Scruton]