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