Faster access than browser!Similarities between Axiom schema of specification and S (set theory)
Axiom schema of specification and S (set theory) have 12 things in common (in Unionpedia): Axiom of empty set, Axiom of extensionality, Axiom schema of replacement, Class (set theory), Empty set, If and only if, Naive set theory, Predicate (mathematical logic), Russell's paradox, Set (mathematics), Set theory, Zermelo–Fraenkel set theory.
Axiom of empty set
In axiomatic set theory, the axiom of empty set is an axiom of Kripke–Platek set theory and the variant of general set theory that Burgess (2005) calls "ST," and a demonstrable truth in Zermelo set theory and Zermelo–Fraenkel set theory, with or without the axiom of choice.
Axiom of empty set and Axiom schema of specification · Axiom of empty set and S (set theory) ·
Axiom of extensionality
In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of extensionality, or axiom of extension, is one of the axioms of Zermelo–Fraenkel set theory.
Axiom of extensionality and Axiom schema of specification · Axiom of extensionality and S (set theory) ·
Axiom schema of replacement
In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under any definable mapping is also a set.
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Class (set theory)
In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share.
Axiom schema of specification and Class (set theory) · Class (set theory) and S (set theory) ·
Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
Axiom schema of specification and Empty set · Empty set and S (set theory) ·
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
Axiom schema of specification and If and only if · If and only if and S (set theory) ·
Naive set theory
Naïve set theory is any of several theories of sets used in the discussion of the foundations of mathematics.
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Predicate (mathematical logic)
In mathematical logic, a predicate is commonly understood to be a Boolean-valued function P: X→, called the predicate on X. However, predicates have many different uses and interpretations in mathematics and logic, and their precise definition, meaning and use will vary from theory to theory.
Axiom schema of specification and Predicate (mathematical logic) · Predicate (mathematical logic) and S (set theory) ·
Russell's paradox
In the foundations of mathematics, Russell's paradox (also known as Russell's antinomy), discovered by Bertrand Russell in 1901, showed that some attempted formalizations of the naïve set theory created by Georg Cantor led to a contradiction.
Axiom schema of specification and Russell's paradox · Russell's paradox and S (set theory) ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Axiom schema of specification and Set (mathematics) · S (set theory) and Set (mathematics) ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Axiom schema of specification and Set theory · S (set theory) and Set theory ·
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
Axiom schema of specification and Zermelo–Fraenkel set theory · S (set theory) and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Axiom schema of specification and S (set theory) have in common
- What are the similarities between Axiom schema of specification and S (set theory)
Axiom schema of specification and S (set theory) Comparison
Axiom schema of specification has 43 relations, while S (set theory) has 43. As they have in common 12, the Jaccard index is 13.95% = 12 / (43 + 43).
References
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