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In computer science, a Boolean expression (also known as logical expression) is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false .
A branch of logic that deals with the study of relations, including their properties, composition, and inversion, and how they interact with logical operators. logic of weak excluded middle An intermediate logic obtained by adding all instances of weak excluded middle to propositional logic. [174] [175] Also called "KC" and "Jankov's logic". [175]
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.
a set of operator symbols, called connectives, [18] [1] [50] logical connectives, [1] logical operators, [1] truth-functional connectives, [1] truth-functors, [37] or propositional connectives. [ 2 ] A well-formed formula is any atomic formula, or any formula that can be built up from atomic formulas by means of operator symbols according to ...
What is important to the paradox is that the conditional in classical (and intuitionistic) logic is the material conditional. It has the property that A → B {\displaystyle A\rightarrow B} is true only if B is true or if A is false (in classical logic, but not intuitionistic logic , this is also a sufficient condition).
Formal logic (also known as symbolic logic) is widely used in mathematical logic. It uses a formal approach to study reasoning: it replaces concrete expressions with abstract symbols to examine the logical form of arguments independent of their concrete content. In this sense, it is topic-neutral since it is only concerned with the abstract ...
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A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. [1]