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Published online by Cambridge University Press: 05 June 2012
x ∈ y – x 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.
∃x ∈ Aϕ – bounded existential quantifier, 6.
∀x ∈ Aϕ – a bounded universal quantifier, 6.
x ⊂ y – x 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.
x ∪ y – 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.
x ∩ y – 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.
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