Inductive Arguments
Non-deductive logic is reasoning using arguments in which the premises support the conclusion but do not entail it. Forms of non-deductive logic include the statistical syllogism, which argues from generalizations true for the most part, and induction, a form of reasoning that makes generalizations based on individual instances. An inductive argument is said to be cogent if and only if the truth of the argument's premises would render the truth of the conclusion probable (i.e., the argument is strong), and the argument's premises are, in fact, true. Cogency can be considered inductive logic's analogue to deductive logic's "soundness." Despite its name, mathematical induction is not a form of inductive reasoning. The problem of induction is the philosophical question of whether inductive reasoning is valid.
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Famous quotes containing the word arguments:
“There is no assurance of the great fact in question [namely, immortality]. All the arguments are mere probabilities, analogies, fancies, whims. We believe, or disbelieve, or are in doubt according to our own make-up—to accidents, to education, to environment. For myself, I do not reach either faith or belief ... that I—the conscious person talking to you—will meet you in the world beyond—you being yourself a conscious person—the same person now reading what I say.”
—Rutherford Birchard Hayes (1822–1893)