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(2000) A Boole anthology, Dordrecht, Springer.
On Boole's algebraic logic after the mathematical analysis of logic
Ivor Grattan-Guinness
pp. 213-216
Boole did not fundamentally change the lines of his research after publishing The Mathematical Analysis of Logic (Boole 1847; hereafter "MAL"). His logic was still mathematics applied to logic; consequences were to be drawn from premises rendered in algebraic form by means of expansion theorems which in effect solved class equations; logical expressions might (not) be interpretable; the role of signs remained prominent; language was still focused upon nouns and adjectives, although its role in general was still emphasised; classes were analysed in terms of part and whole; disjunction was defined only for disjoint classes; and so on.
Publication details
DOI: 10.1007/978-94-015-9385-4_11
Full citation:
Grattan-Guinness, I. (2000)., On Boole's algebraic logic after the mathematical analysis of logic, in J. Gasser (ed.), A Boole anthology, Dordrecht, Springer, pp. 213-216.