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Mathematics » Logic & Set Theory An open sentence is a statement which contains a variable and which becomes a proposition when an element of the universal set is substituted for this variable. If the variable occurs more than once in the open sentence, the same element of the universal set must be substituted for it at each occurance.
Matamaitic » Loighic & Tacartheoiric Is ionann abairt oscailte agus ráiteas ina bhfuil athróg agus a ndéantar tairiscint de nuair a chuirtear ball den uilethacar in ionad na hathróige sin. Má tharlaíonn an athróg níos mó ná uair amháin san abairt oscailte, ní mór an ball céanna den uilethacar a chur ina hionad gach uair.
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Mathematics » Logic & Set Theory Two open sentences are said to be equivalent if and only if their truth sets are identical.
Matamaitic » Loighic & Tacartheoiric Deirtear go bhfuil dhá abairt oscailte coibhéiseach más gá agus más leor a dtacair fhírinne a bheith comhionann.
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Mathematics » Logic & Set Theory The truth set of an open sentence is the set of all those elements of the universal set whose substitution in the open sentence results in true propositions.
Matamaitic » Loighic & Tacartheoiric Is ionann tacar fírinne abairte oscailte agus tacar na n-eilimintí sin go léir den uilethacar a dtarlaíonn tairiscintí fíora de bharr iad a chur in ionad na hathróige san abairt oscailte.