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In [logic] , an [argument] is a [set] of one or more declarative [sentence] s (or ["propositions"] ) known as the premises along with another declarative sentence (or "proposition") known as the [conclusion] . [Aristotle] held that any logical argument could be reduced to two premises and a conclusion. Premises are sometimes left unstated in which case they are called missing premises, for example:

::Socrates is mortal, since all men are mortal.

It is evident that a tacitly understood claim is that Socrates is a man. The fully expressed reasoning is thus:

::Since all men are mortal and Socrates is a man, it follows that Socrates is mortal.

In this example, the first two independent [clauses] preceding the comma (namely, "all men are mortal" and "Socrates is a man") are the premises, while "Socrates is mortal" is the conclusion.

The proof of a conclusion depends on both the [truth] of the premises and the [validity] of the argument.


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