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Mathematics » Logic & Set Theory Two formulae r and s are called equivalent if and only if the truth value of r is equal to the truth value of s for each choice of propositions which are substituted for their respective variables.
Matamaitic » Loighic & Tacartheoiric Deirtear go bhfuil dhá fhoirmle r agus s coibhéiseach más gá agus más leor luach fírinne r a bheith cothrom le luach fírinne s do gach aon rogha de thairiscintí a chuirtear in ionad a n-athróg faoi seach.
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Mathematics » Logic & Set Theory An open propositional formula (or formula, for short) is an expression containing a finite number of variables p, q, r, etc., and a finite number of the logical operations: ∧ (and), ∨ (or), ¬ (not), → (implication), and ↔ (equivalence), which becomes a proposition when specific propositions are substituted for the variables.
Matamaitic » Loighic & Tacartheoiric Is slonn é foirmle thairisceanach oscailte (nó foirmle, mar a thugtar air go coitianta) ina bhfuil líon críochta athróg p, q, r, etc., agus líon críochta de na hoibríochtaí loighciúla: ∧ (agus), ∨ (nó), ¬ (ní), → (impleacht), agus ↔ (coibhéis), a ndéantar tairiscint de nuair a chuirtear tairiscintí sonracha in ionad na n-athróg.