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  2. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [1] and the LaTeX symbol.

  3. Signature (logic) - Wikipedia

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

    In mathematical logic, very often symbols are not allowed to be nullary, [citation needed] so that constant symbols must be treated separately rather than as nullary function symbols. They form a set S const {\displaystyle S_{\operatorname {const} }} disjoint from S func , {\displaystyle S_{\operatorname {func} },} on which the arity function ...

  4. Discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Discrete_mathematics

    Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions).

  5. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra.It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers.

  6. Outline of discrete mathematics - Wikipedia

    en.wikipedia.org/.../Outline_of_discrete_mathematics

    Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic [1] – do not vary smoothly in this way, but have distinct, separated values. [2]

  7. Negation - Wikipedia

    en.wikipedia.org/wiki/Negation

    Classical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true when its operand is false, and a value of false when its operand is true. Thus if statement P {\displaystyle P} is true, then ¬ P {\displaystyle \neg P} (pronounced "not P") would then be false; and conversely, if ¬ P ...

  8. Logical connective - Wikipedia

    en.wikipedia.org/wiki/Logical_connective

    Disjunction: the symbol appeared in Russell in 1908 [5] (compare to Peano's use of the set-theoretic notation of union); the symbol + is also used, in spite of the ambiguity coming from the fact that the + of ordinary elementary algebra is an exclusive or when interpreted logically in a two-element ring; punctually in the history a + together ...

  9. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1] For example, the constant π may be defined as the ratio of the length of a circle's circumference to ...