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LoginWhat is the meaning of impredicative definition meaning in Hindi ?
English-Hindi Words Starting With I in English-Hindi . 8 months ago
+10 pts
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| definition निर्धारण परिभाषा | ||
| 1. | Poincar?and Weyl argued that impredicative definitions are problematic only when one or more underlying sets are infinite. | |
| 2. | Set theories such as ZFC are not based on this sort of predicative framework, and allow impredicative definitions. | |
| 3. | Then to exclude impredicative definitions within a type, the types above type 0 are further separated into orders. | |
| 4. | But this separation into orders makes it impossible to construct the familiar analysis, which [ see Kleene's example at Impredicativity ] contains impredicative definitions. | |
| 5. | This notion of collection-or or class-as-object, when used without restriction, results in Russell's paradox; see more below about impredicative definitions. | |
| 6. | Kleene observes that " to exclude impredicative definitions within a type, the types above type 0 [ primary objects or individuals " not subjected to logical analysis " ] are further separated into orders. | |
| 7. | If only definable properties are considered to exist, then the axiom means that to every impredicative definition within a given type there is an equivalent predicative one ( Kleene 1952 : 44 45 ). | |
| 8. | He gives two examples of impredicative definitions & ndash; ( i ) the notion of Dedekind chains and ( ii ) " in analysis wherever the maximum or minimum of a previously defined " completed " set of numbers } } is used for further inferences. | |
| 9. | Zermelo's example of minimum and maximum of a previously defined " completed " set of numbers reappears in Kleene 1952 : 42-42 where Kleene uses the example of Least upper bound in his discussion of impredicative definitions; Kleene does not resolve this problem. | |
| 10. | G�del's approach to the law of excluded middle was to assert that objections against " the use of'impredicative definitions'" " carried more weight " than " the law of excluded middle and related theorems of the propositional calculus " ( Dawson p . 156 ). |
Posted on 27 Oct 2024, this text provides information on English-Hindi related to Words Starting With I in English-Hindi. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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