An inductive definition is given by rules for generating elements of a type.
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This constitutes an "'inductive definition "'of the class of the natural numbers.
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Revision theory, while in some respects similar to the theory of inductive definitions, differs in several ways.
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One can now give a formal inductive definition of the rearrangement " & sigma; ", that works in general.
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This inductive definition defines the classes \ Sigma ^ 1 _ n and \ Pi ^ 1 _ n for every natural number n.
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Inductive definitions are semantically interpreted via fixed points, hypotheses h for which h = \ delta _ { M, \ mathcal { D } } ( h ).
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We note that " proves " has an inductive definition, and that gives us the immediate resources for demonstrating claims of the form " If proves, then . . . ".
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:Trivially so : you have already provided an inductive definition of the function you desire . & mdash; Carl ( talk ) 04 : 12, 8 September 2009 ( UTC)
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Nozick believes that if the world were wholly just, only the first two principles would be needed, as " the following inductive definition would exhaustively cover the subject of justice in holdings ":
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More formally, we can think of a truth condition as what makes for the truth of a sentence in an inductive definition of truth ( for details, see the semantic theory of truth ).
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