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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... Inductive arguments argue their conclusions through inductive reasoning ... The atheist-existentialist argument for the non-existence of a perfect sentient being states that if existence precedes essence, it follows from the meaning of the term ... The argument is echoed thus in Salman Rushdie's novel Grimus "That which is complete is also dead." The "no reason" argument tries to show that an omnipotent and omniscient being would ...
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