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Что (кто) такое axiom scheme - определение
A FORMULA IN THE METALANGUAGE OF AN AXIOMATIC SYSTEM IN WHICH ONE OR MORE SCHEMATIC VARIABLES APPEAR
Axiom scheme; Axiom schemata; Axiom-scheme; Finite axiomatization
Axiom schema
In mathematical logic, an axiom schema (plural: axiom schemata or axiom schemas) generalizes the notion of axiom.
Axiom of Comprehension
AXIOM SCHEMA
Axiom of specification; Axiom of separation; Axiom schema of separation; Axiom schema of comprehension; Axiom of comprehension; Unrestricted comprehension; Axiom of abstraction; Axiom of subsets; Axioms of subsets; Subset axiom; Axiom schema of restricted comprehension; Comprehension axiom; Aussonderungsaxiom; Axiom schema of unrestricted comprehension; Unrestricted comprehension principle
<mathematics> An axiom schema of set theory which states:
if P(x) is a property then
x : P
is a set. I.e. all the things with some property form a set.
Acceptance of this axiom leads to Russell's Paradox which is
why Zermelo set theory replaces it with a restricted form.
(1995-03-31)
Axiom schema of specification
AXIOM SCHEMA
Axiom of specification; Axiom of separation; Axiom schema of separation; Axiom schema of comprehension; Axiom of comprehension; Unrestricted comprehension; Axiom of abstraction; Axiom of subsets; Axioms of subsets; Subset axiom; Axiom schema of restricted comprehension; Comprehension axiom; Aussonderungsaxiom; Axiom schema of unrestricted comprehension; Unrestricted comprehension principle
In many popular versions of axiomatic set theory, the axiom schema of specification, also known as the axiom schema of separation, subset axiom scheme or axiom schema of restricted comprehension is an axiom schema. Essentially, it says that any definable subclass of a set is a set.
Википедия
Axiom schema
In mathematical logic, an axiom schema (plural: axiom schemata or axiom schemas) generalizes the notion of axiom.
