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At the same time there has emerged a group of people for whom home is New York and somewhere else, for whom a divided sense of things is a constant.
gives the divided sense.
In general, a divided sense occurs if the modal comes in the midst of a proposition, so that the subject precedes it.
Peter Abelard (1079 1142/4), in discussing the same example, applied the systematic division between modal statements de sensu or in the compound sense and modal statements de re or in the divided sense.
So "Five and three are eight" has a compounded sense, and "five is eight" does not follow, but "Socrates and Plato are at Plataea" has a divided sense, and "Socrates is at Plataea" does follow.
Here the divided sense (one of them I know to be true) is concluded illegitimately from the compounded sense (I know one-or-the-other-of-them to be true).
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Rather he argues the sophism is best solved through application of the composite and divided senses of "necessitas".
Many of Williams' sophismata most confusing to the uninitiated depend, as here, on compounded and divided senses applied to times, that is, they present problems in tense logic.
He produced a number of short works at the more elementary level as well, including On the Compound and Divided Senses [De sensus composito et diviso], and Concerning the Truth and Falsehood of Premises [De veritate et falsitate propositionis].
In The Compounded and Divided Senses, Heytesbury lays out a 14th-century elaboration of the Aristotelian discussion of the fallacies of composition and division marked by the development of technical devices involving word order within Latin to distinguish the contrasting compounded and divided senses identified in each instance.
The fallacies noted throughout are the standard ones discussed in Aristotle's De Sophisticis Elenchis: the fallacy of equivocation; the fallacy of accident; the fallacy of the composite and divided senses; the fallacy of the consequent; the fallacy of absolute and qualified senses; the fallacy of many causes of truth; amphiboly; improper supposition.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com