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C - Notation

Published online by Cambridge University Press:  05 June 2012

Krzysztof Ciesielski
Affiliation:
West Virginia University
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Summary

  • xyx is an element of y, 6.

  • ¬ϕ – the negation of formula ϕ, 6.

  • ϕ&ψ – the conjunction of formulas ϕ and ψ, 6.

  • ϕ ∨ ψ – the disjunction of formulas ϕ and ψ, 6.

  • ϕ→ψ – the implication, 6.

  • ϕ⇔ψ – the equivalence of formulas ϕ and ψ 6.

  • xϕ – the existential quantifier, 6.

  • xϕ – the universal quantifier, 6.

  • xAϕ – bounded existential quantifier, 6.

  • xAϕ – a bounded universal quantifier, 6.

  • xyx is a subset of y, 6.

  • ø – the empty set, 7.

  • ∪ℱ – the union of a family ℱ of sets, 8.

  • P(X) – the power set of a set X, 8.

  • xy – the union of sets x and y, 8.

  • x \ y – the difference of sets x and y, 8.

  • ∩ℱ – the intersection of a family ℱ of sets, 8.

  • xy – the intersection of sets x and y, 9.

  • xΔy – the symmetric difference of sets x and y, 9.

  • a, b〉 – the ordered pair {{a}, {a, b}}, 9.

  • a1, a2, …, an-1, an〉 – the ordered n-tuple, 10.

  • X × Y – the Cartesian product of sets X and Y, 10.

  • […]

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1997

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  • Notation
  • Krzysztof Ciesielski, West Virginia University
  • Book: Set Theory for the Working Mathematician
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173131.013
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  • Notation
  • Krzysztof Ciesielski, West Virginia University
  • Book: Set Theory for the Working Mathematician
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173131.013
Available formats
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Save book to Google Drive

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  • Notation
  • Krzysztof Ciesielski, West Virginia University
  • Book: Set Theory for the Working Mathematician
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173131.013
Available formats
×