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Disjointed variables

Dmitry Vlasov edited this page Feb 26, 2017 · 1 revision

Predicate calculus imposes some restrictions on the substitutions, which may be applied to some certain inference rules. In Russell this is reflected with the notion of disjointed variables:

axiom ax-17 (ph : wff, x : set) disjointed(x ph) {
    prop 1 : wff = |- ( ph → ∀ x ph ) ;;
}

Here variables x and ph are marked as disjointed. It means, that any usage of this axiom, when some substitution such that x and ph are substituted with expressions, which have common variables, is prohibited.

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