A premise is a statement that an argument claims will induce or justify a conclusion. In other words: a premise is an assumption that something is true. In logic, an argument requires a set of (at least) two declarative sentences (or "propositions") known as the premises along with another declarative sentence (or "proposition") known as the conclusion. This structure of two premises and one conclusion forms the basic argumentative structure. More complex arguments can use a series of rules to connect several premises to one conclusion, or to derive a number of conclusions from the original premises which then act as premises for additional conclusions. An example of this is the use of the rules of inference found within symbolic logic.
- 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, Socrates is mortal.
In this example, the 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.
- "Argument: a sequence of statements such that some of them (the premises) purport to give reasons to accept another of them, the conclusion" : The Cambridge Dictionary of Philosophy, 2nd Edition (Cambridge University Press), editor Robert Audi, 43.
- p216, Jan Gullberg, Mathematics from the birth of numbers, W. W. Norton & Company; ISBN 0-393-04002-X ISBN 978-0393040029
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