Ideas from 'Naming and Necessity preface' by Saul A. Kripke [1980], by Theme Structure
[found in 'Naming and Necessity' by Kripke,Saul [Blackwell 1980,0-631-12801-8]].
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4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
16985
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Possible worlds allowed the application of set-theoretic models to modal logic
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5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
16982
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A man has two names if the historical chains are different - even if they are the same!
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9. Objects / F. Identity among Objects / 1. Concept of Identity
16981
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With the necessity of self-identity plus Leibniz's Law, identity has to be an 'internal' relation
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9. Objects / F. Identity among Objects / 8. Leibniz's Law
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The indiscernibility of identicals is as self-evident as the law of contradiction
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10. Modality / C. Sources of Modality / 1. Sources of Necessity
16984
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I don't think possible worlds reductively reveal the natures of modal operators etc.
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10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
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The very act of designating of an object with properties gives knowledge of a contingent truth
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10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
4943
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Instead of talking about possible worlds, we can always say "It is possible that.."
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10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
16983
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Probability with dice uses possible worlds, abstractions which fictionally simplify things
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