Faster access than browser!Similarities between List of mathematical logic topics and Transfinite induction
List of mathematical logic topics and Transfinite induction have 14 things in common (in Unionpedia): Axiom of choice, Axiom of dependent choice, Cardinal number, Class (set theory), Countable set, Epsilon-induction, Function (mathematics), Limit ordinal, Mathematical induction, Ordinal number, Successor ordinal, Well-founded relation, Well-order, Zermelo–Fraenkel set theory.
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and List of mathematical logic topics · Axiom of choice and Transfinite induction ·
Axiom of dependent choice
In mathematics, the axiom of dependent choice, denoted by \mathsf, is a weak form of the axiom of choice (\mathsf) that is still sufficient to develop most of real analysis.
Axiom of dependent choice and List of mathematical logic topics · Axiom of dependent choice and Transfinite induction ·
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.
Cardinal number and List of mathematical logic topics · Cardinal number and Transfinite induction ·
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.
Class (set theory) and List of mathematical logic topics · Class (set theory) and Transfinite induction ·
Countable set
In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.
Countable set and List of mathematical logic topics · Countable set and Transfinite induction ·
Epsilon-induction
In mathematics, \in-induction (epsilon-induction) is a variant of transfinite induction that can be used in set theory to prove that all sets satisfy a given property P. If the truth of the property for x follows from its truth for all elements of x, for every set x, then the property is true of all sets.
Epsilon-induction and List of mathematical logic topics · Epsilon-induction and Transfinite induction ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Function (mathematics) and List of mathematical logic topics · Function (mathematics) and Transfinite induction ·
Limit ordinal
In set theory, a limit ordinal is an ordinal number that is neither zero nor a successor ordinal.
Limit ordinal and List of mathematical logic topics · Limit ordinal and Transfinite induction ·
Mathematical induction
Mathematical induction is a mathematical proof technique.
List of mathematical logic topics and Mathematical induction · Mathematical induction and Transfinite induction ·
Ordinal number
In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.
List of mathematical logic topics and Ordinal number · Ordinal number and Transfinite induction ·
Successor ordinal
In set theory, the successor of an ordinal number α is the smallest ordinal number greater than α.
List of mathematical logic topics and Successor ordinal · Successor ordinal and Transfinite induction ·
Well-founded relation
In mathematics, a binary relation, R, is called well-founded (or wellfounded) on a class X if every non-empty subset S ⊆ X has a minimal element with respect to R, that is an element m not related by sRm (for instance, "s is not smaller than m") for any s ∈ S. In other words, a relation is well founded if Some authors include an extra condition that R is set-like, i.e., that the elements less than any given element form a set.
List of mathematical logic topics and Well-founded relation · Transfinite induction and Well-founded relation ·
Well-order
In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total order on S with the property that every non-empty subset of S has a least element in this ordering.
List of mathematical logic topics and Well-order · Transfinite induction and Well-order ·
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.
List of mathematical logic topics and Zermelo–Fraenkel set theory · Transfinite induction and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What List of mathematical logic topics and Transfinite induction have in common
- What are the similarities between List of mathematical logic topics and Transfinite induction
List of mathematical logic topics and Transfinite induction Comparison
List of mathematical logic topics has 354 relations, while Transfinite induction has 23. As they have in common 14, the Jaccard index is 3.71% = 14 / (354 + 23).
References
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