Quantity in Logic and Semantics
In respect to quantity, propositions are grouped as universal and particular, applying to the whole subject or a part of the subject to be predicated. Accordingly, there are existential and universal quantifiers. In relation to the meaning of a construct, quantity involves two semantic dimensions: 1. extension or extent (determining the specific classes or individual instances indicated by the construct) 2. intension (content or comprehension or definition) measuring all the implications (relationships and associations involved in a construct, its intrinsic, inherent, internal, built-in, and constitutional implicit meanings and relations).
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Famous quotes containing the words quantity in, quantity and/or logic:
“Quantity in food is more to be regarded than quality. A full meal is a great enemy both to study and industry.”
—Samuel Richardson (1689–1761)
“Upon looking back from the end of the last chapter and surveying the texture of what has been wrote, it is necessary, that upon this page and the five following, a good quantity of heterogeneous matter be inserted, to keep up that just balance betwixt wisdom and folly, without which a book would not hold together a single year.”
—Laurence Sterne (1713–1768)
“Our argument ... will result, not upon logic by itself—though without logic we should never have got to this point—but upon the fortunate contingent fact that people who would take this logically possible view, after they had really imagined themselves in the other man’s position, are extremely rare.”
—Richard M. Hare (b. 1919)