Examples of 'axiom schema' in a sentence
Meaning of "axiom schema"
axiom schema - a proposition or statement in logic or mathematics that is assumed to be true without proof and is used as a basis for logical reasoning
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- A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions.
How to use "axiom schema" in a sentence
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axiom schema
Robinson arithmetic with an axiom schema of induction.
Axiom schema of restricted comprehension.
Relation to the axiom schema of replacement.
Axiom schema of replacement.
In symbols the rule as an axiom schema is.
Axiom schema of induction.
This is an axiom schema.
Axiom schema of collection.
Q is essentially PA without the axiom schema of induction.
Axiom schema of specification.
This result shows that it is possible to axiomatize ZFC with a single infinite axiom schema.
Axiom schema of separation.
Includes no equivalents of Choice or the axiom schema of Replacement.
The resulting axiom schema is also called the axiom schema of boundedness.
Replacement, An axiom schema.
See also
Accepting only the axiom schema of specification was the beginning of axiomatic set theory.
Axiom schema of predicative separation Axiom schema of replacement Axiom schema of specification.
Let us take as an example the axiom schema of replacement in Zermelo-Fraenkel set theory.
Axiom schema 4 defines the nature of λ notation.
The single axiom schema of is,.
The axiom schema of separation can almost be derived from the axiom schema of replacement.
In mathematical logic, an axiom schema ( plural, axiom schemata ) generalizes the notion of axiom.
Axiom schema of specification ( also called the axiom schema of separation or of restricted comprehension ).
First, the axiom schema of class comprehension is added.
The axiom schema of replacement was not part of Ernst Zermelo's 1908 axiomatisation of set theory Z.
Is an axiom schema of induction, representing infinitely many axioms.
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Examples of using Axiom
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By the axiom of extensionality this set is unique
Financial operators are well aware of this axiom
This axiom might lead us to this theorem
Examples of using Schema
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Stylised schema of a historic centralised health system
Can not extend a schema with a path
The schema definition file is not available
