primitive notion sentence in Hindi
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- In a non-axiomatic or simplified axiomatic treatment of geometry, the concept of a primitive notion may be too abstract to be dealt with.
- It is more concise than Pieri's because Pieri had only two primitive notions while Tarski introduced three : point, betweenness, and congruence.
- ZFC is intended to formalize a single primitive notion, that of a models from containing urelements ( elements of sets that are not themselves sets ).
- Hence relations can be defined by set theory, thus the theory of relations does not require any axioms or primitive notions distinct from those of set theory.
- And, of course, they missed what was happening all along, perhaps because of nervous impatience or a primitive notion that the real things are physical ."
- These axiom systems describe the space via primitive notions ( such as " point ", " between ", " congruent " ) constrained by a number of axioms.
- The idea that there are certain sequences of sounds which if said will make everyone very unformfortable for reasons they can't quite explain is a very primitive notion.
- Then G�del [ 1940 ] further modified the theory : " his primitive notions are those of set, class and membership ( although membership alone is sufficient ) ".
- Stating definitions and propositions in a way such that each new term can be formally eliminated by the priorly introduced terms requires primitive notions ( axioms ) to avoid infinite regress.
- The metalanguage includes primitive notions, axioms, and rules absent from the object language, so that there are theorems provable in the metalanguage not provable in the object language.
- In the geometries where the concept of a line is a primitive notion, as may be the case in some synthetic geometries, other methods of determining collinearity are needed.
- :" [ Descartes'] claim that mind-body unity is a primitive notion on a par with the primitive notions of thinking and extended substance . . ."
- :" [ Descartes'] claim that mind-body unity is a primitive notion on a par with the primitive notions of thinking and extended substance . . ."
- Alessandro Padoa celebrated the reduction of primitive notions to merely " point " and " motion " in his report to the 1900 International Congress of Philosophy.
- Alessandro Padoa shared in this expression of Peano's logico-geometrical program that reduced the number of primitive notions from the " four " used by Moritz Pasch.
- Forder also gives, by combining axioms from different systems, his own treatment based on the two primitive notions of " point " and " order ".
- Given some " primitive formulas " such as PM's primitives S 1 V S 2 [ inclusive OR ], ~ S ( negation ) one is forced to define the axioms in terms of these primitive notions.
- Peano's work, largely a translation of Pasch's treatise into the notation of symbolic logic ( which Peano invented ), uses the primitive notions of " point " and " betweeness ".
- Cantor's definition turned out to be inadequate; instead, the notion of a " set " is taken as a primitive notion in axiomatic set theory, and the properties of sets are defined by a collection of axioms.
- This is can be confusing because current mathematical practice does not distinguish between predicative and non-predicative functions, and in any case PM never defines exactly what a " predicative function " actually is : this is taken as a primitive notion.
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