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2 ideas
5400 | In any possible world we feel that two and two would be four [Russell] |
Full Idea: In any possible world we feel that two and two would be four. | |
From: Bertrand Russell (Problems of Philosophy [1912], Ch. 7) | |
A reaction: Thinking of necessity in terms of possible worlds is not a new invention, but then Russell was a keen fan of Leibniz. Suppose there were no world at all, and only one truth, namely that two and two make five? (No, I can't make sense of that!) |
14460 | If something is true in all possible worlds then it is logically necessary [Russell] |
Full Idea: Saying that the axiom of reducibility is logically necessary is what would be meant by saying that it is true in all possible worlds. | |
From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], XVII) | |
A reaction: This striking remark is a nice bridge between Leibniz (about whom Russell wrote a book) and Kripke. |