Boole's Late Manuscript ‘On the Nature of Thought’: A Rewriting of the Laws of Thought Without Uninterpretables

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This paper offers a commented edition of a late manuscript by Boole, which he likely put together in late 1863 as a response to William Stanley Jevons's criticisms of his system, in the hope of publishing his own views before Jevons's Pure Logic came out in early 1864. The manuscript, entitled ‘On the Nature of Thought’, is different in character from those that have been published to date. Boole does not attempt to rephrase his logic without algebraic symbolism. Instead, he amends the general problem-solving method presented in his Investigation of the Laws of Thought so that it obeys ‘the express condition that no forms are to be employed which are not interpretable’, without, however, making any change to his underlying logical calculus (in particular, Boole does not adopt Jevons's inclusive reading of +). Though quite terse in places, the manuscript is largely successful with respect to its stated goals. Moreover, it sheds light on Boole's thinking about interpretability, highlighting a tension in Boole's work between an indirect notion of interpretation based on the method of development, and a compositional notion of interpretation that, as the manuscript shows, Boole ended up emphasizing at the end of his life.

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