Logic - Deductive and Inductive by Carveth Read
page 36 of 478 (07%)
page 36 of 478 (07%)
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such simple but explicit expressions as the above (_tertii adjacentis_).
A Compound Proposition, reducible to two or more simple ones, is said to be exponible. The modes of compounding sentences are explained in every grammar-book. One of the commonest forms is the copulative, such as _Salt is both savoury and wholesome_, equivalent to two simple propositions: _Salt is savoury; Salt is wholesome. Pure water is neither sapid nor odorous_, equivalent to _Water is not sapid; Water is not odorous_. Or, again, _Tobacco is injurious, but not when used in moderation_, equivalent to _Much tobacco is injurious; a little is not_. Another form of Exponible is the Exceptive, as _Kladderadatsch is published daily, except on week-days_, equivalent to _Kladderadatsch is published on Sunday; it is not published any other day_. Still another Exponible is the Exclusive, as _Only men use fire_, equivalent to _Men are users of fire; No other animals are_. Exceptive and exclusive sentences are, however, equivalent forms; for we may say, _Kladderadatsch is published only on Sunday_; and _No animals use fire, except men_. There are other compound sentences that are not exponible, since, though they contain two or more verbal clauses, the construction shows that these are inseparable. Thus, _If cats are scarce, mice are plentiful_, contains two verbal clauses; but _if cats are scarce_ is conditional, not indicative; and _mice are plentiful_ is subject to the condition that _cats are scarce_. Hence the whole sentence is called a Conditional Proposition. For the various forms of Conditional Propositions see chap. v. § 4. |
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