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Logicians' training is so different from philosophers' that it should be considered a separate discipline, or under the branch of computer science.
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When I was a young man I took three philosophy courses from a very old man who, when he was a young man, was the dissertation director of Alan Turing. The latter, by the way, was an habitué of the seminar of Wittgenstein.
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I studied it getting my CS degree - you can literally write mathematical formulas using symbols and you can perform operations in logic. Very different from a philosophy class - excuse me if you were already aware.
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