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Empty set and Robinson arithmetic

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Empty set and Robinson arithmetic

Empty set vs. Robinson arithmetic

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. In mathematics, Robinson arithmetic, or Q, is a finitely axiomatized fragment of first-order Peano arithmetic (PA), first set out in R. M. Robinson (1950).

Similarities between Empty set and Robinson arithmetic

Empty set and Robinson arithmetic have 11 things in common (in Unionpedia): Cardinality, George Boolos, Mathematics, Multiplication, Peano axioms, Richard Jeffrey, Set (mathematics), Set theory, Set-theoretic definition of natural numbers, Universal quantification, Zermelo set theory.

Cardinality

In mathematics, the cardinality of a set is a measure of the "number of elements of the set".

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George Boolos

George Stephen Boolos (September 4, 1940 – May 27, 1996) was an American philosopher and a mathematical logician who taught at the Massachusetts Institute of Technology.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

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Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.

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Richard Jeffrey

Richard Carl Jeffrey (August 5, 1926 – November 9, 2002) was an American philosopher, logician, and probability theorist.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Set-theoretic definition of natural numbers

Several ways have been proposed to construct the natural numbers using set theory.

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Universal quantification

In predicate logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any" or "for all".

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Zermelo set theory

Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory.

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The list above answers the following questions

Empty set and Robinson arithmetic Comparison

Empty set has 76 relations, while Robinson arithmetic has 57. As they have in common 11, the Jaccard index is 8.27% = 11 / (76 + 57).

References

This article shows the relationship between Empty set and Robinson arithmetic. To access each article from which the information was extracted, please visit:

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