Logic

British Logic in the Nineteenth Century (Handbook of the by Dov M. Gabbay, John Woods

By Dov M. Gabbay, John Woods

The current quantity of the Handbook of the historical past of Logic is designed to set up nineteenth century Britain as a considerable strength in common sense, constructing new rules, a few of which might be overtaken via, and different that may expect, the century's later capitulation to the mathematization of logic.

British good judgment within the 19th Century is integral analyzing and a definitive examine source for somebody with an curiosity within the heritage of logic.

• unique and accomplished chapters overlaying the total variety of modal logic
• includes the most recent scholarly discoveries and interpretative insights that resolution many questions within the box of common sense

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The species of relation here referred to are those of identity and diversity [note: The diversity expressed in logical propositions is always absolute, and not contingent. 9~ Bentham, Outline of a New System of Logic, With a Critical Examination of Dr Whately's "Elements of Logic" (London: Hunt & Clarke 1827), 69. 91G. Bentham, Outline of a New System of Logic, With a Critical Examination of Dr Whately's "Elements of Logic" (London: Hunt & Clarke 1827), 69-71. 92N. I. Styazhkin, History of Mathematical Logic from Leibniz to Peano.

Take, for example, the application of paraphrases on the term "obligation". We begin by combining the name of the fictitious entity "obligation" with other words to create a proposition, such as "A man is under an obligation to do X " . Then, we find another proposition equivalent to "A man is under an obligation to do X " , such as "A man is liable to punishment if he does not do X " . 53 The idea associated with the word "pain" is, in Lockean terms, a "simple" idea, and the m e t h o d of paraphrases has resolved the sentence containing the term "obligation" into a sentence containing the simple idea, namely "pain".

L. A. Hart (London, 1970), 187. 79George also talks about division in his "Essai" see G. Bentham, "Essai sur la nomenclature et la classification des principales branches d'art-et-science" (Paris, Bossange Freres 1823). 70-72. 80j. Bentham, An Introduction to the Principles of Morals and Legislation, ed. J. H. Burns and H. L. A. Hart (London, 1970), 53 note c. 81j. Bentham, Chrestomathia ed M. J. Smith and W. H. Burston. (Oxford, Clarendon Press 19S3), 252. S2G. Bentham, Outline of a New System of Logic, With a Critical Examination of Dr Whately's "Elements of Logic" (London: Hunt & Clarke 1827), 110-1.

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