Web Reference: Jan 23, 2000 · A “language” of this kind is called an infinitary language: in this article I discuss those infinitary languages which can be obtained in a straightforward manner from first-order languages by allowing conjunctions, disjunctions and, possibly, quantifier sequences, to be of infinite length. Mar 23, 2012 · One class of logics which allow infinite conjunctions/disjunctions are Infinitary Logics. These logics specify the number of conjunctions/disjunctions allowed, and also the number of quantifiers allowed. This fact leads one to ask whether quantifiers can always be replaced by conjunctions and disjunctions even when the universe of discourse is infinite and in- finitely long conjunctions and disjunctions would be required.
YouTube Excerpt: Here's how we can use our knowledge of the geometric series to evaluate the sum Σix^i, for both
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