Search results
Results from the WOW.Com Content Network
In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle \wedge } [ 1 ] or & {\displaystyle \&} or K {\displaystyle K} (prefix) or × {\displaystyle \times } or ⋅ {\displaystyle \cdot } [ 2 ] in ...
A logical operator that specifies the quantity of specimens in the domain of discourse that satisfy an open formula, such as "all", "some", or "exists". quantifier shift fallacy A logical fallacy involving the incorrect interchange of the position of two quantifiers, or a quantifier and a modal operator, leading to invalid conclusions. quantity
Logical connectives can be used to link zero or more statements, so one can speak about n-ary logical connectives. The boolean constants True and False can be thought of as zero-ary operators. Negation is a 1-ary connective, and so on.
Due to the ability to speak about non-logical individuals along with the original logical connectives, first-order logic includes propositional logic. [ 7 ] The truth of a formula such as " x is a philosopher" depends on which object is denoted by x and on the interpretation of the predicate "is a philosopher".
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
(logic) A logical system involving the theory of classes. (computer science) A structure of concepts or entities within a domain, organized by relationships; a system model. onychopathology [165] The study of nail disease. oology: The study of eggs, especially those of birds. oölogy; ophidiology: The study of snakes (clade Ophidia). ophiology ...
Adding a prefix to the beginning of an English word changes it to a different word. For example, when the prefix un-is added to the word happy, it creates the word unhappy. The word prefix is itself made up of the stem fix (meaning "attach", in this case), and the prefix pre-(meaning "before"), both of which are derived from Latin roots.
Given two formulas X and Y, and a binary connective b (such as the logical conjunction ∧), the expression (X b Y) is a formula. (Note the parentheses.) (Note the parentheses.) Through this construction, all of the formulas of propositional logic can be built up from propositional variables as a basic unit.