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2. Truth table - Wikipedia

   en.wikipedia.org/wiki/Truth_table

   A truth table is a structured representation that presents all possible combinations of truth values for the input variables of a Boolean function and their corresponding output values. A function f from A to F is a special relation , a subset of A×F, which simply means that f can be listed as a list of input-output pairs.

3. Tarski's undefinability theorem - Wikipedia

   en.wikipedia.org/wiki/Tarski's_undefinability...

   For example, a truth predicate for first-order arithmetic can be defined in second-order arithmetic. However, this formula would only be able to define a truth predicate for formulas in the original language . To define a truth predicate for the metalanguage would require a still higher metametalanguage, and so on.

4. Method of analytic tableaux - Wikipedia

   en.wikipedia.org/wiki/Method_of_analytic_tableaux

   A graphical representation of a partially built propositional tableau. In proof theory, the semantic tableau [1] (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux), also called an analytic tableau, [2] truth tree, [1] or simply tree, [2] is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. [1]

5. Tautology (logic) - Wikipedia

   en.wikipedia.org/wiki/Tautology_(logic)

   The method of truth tables illustrated above is provably correct – the truth table for a tautology will end in a column with only T, while the truth table for a sentence that is not a tautology will contain a row whose final column is F, and the valuation corresponding to that row is a valuation that does not satisfy the sentence being tested.

6. Decidability (logic) - Wikipedia

   en.wikipedia.org/wiki/Decidability_(logic)

   For example, propositional logic is decidable, because the truth-table method can be used to determine whether an arbitrary propositional formula is logically valid. First-order logic is not decidable in general; in particular, the set of logical validities in any signature that includes equality and at least one other predicate with two or ...

7. Material conditional - Wikipedia

   en.wikipedia.org/wiki/Material_conditional

   From a classical semantic perspective, material implication is the binary truth functional operator which returns "true" unless its first argument is true and its second argument is false. This semantics can be shown graphically in a truth table such as the one below.