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(the symbol may also indicate the domain and codomain of a function; see table of mathematical symbols). ⊃ {\displaystyle \supset } may mean the same as ⇒ {\displaystyle \Rightarrow } (the symbol may also mean superset ).
The accounts discussed above all yield monotonic consequence relations, i.e. ones such that if is a consequence of , then is a consequence of any superset of . It is also possible to specify non-monotonic consequence relations to capture the idea that, e.g., 'Tweety can fly' is a logical consequence of
In logic, the symbol ⊨, ⊧ or is called the double turnstile.It is often read as "entails", "models", "is a semantic consequence of" or "is stronger than". [1]It is closely related to the turnstile symbol , which has a single bar across the middle, and which denotes syntactic consequence (in contrast to semantic).
Symbols surround us, guiding us, protecting us and communicating important messages every day. From mathematical symbols to road signs, these icons play a crucial role in our lives, often ...
A symbol is an idea, abstraction or concept, tokens of which may be marks or a metalanguage of marks which form a particular pattern. Symbols of a formal language need not be symbols of anything. For instance there are logical constants which do not refer to any idea, but rather serve as a form of punctuation in the language (e.g. parentheses ...
The syntactic consequence of provability should be contrasted to semantic consequence, denoted by the double turnstile symbol . One says that S {\displaystyle S} is a semantic consequence of T {\displaystyle T} , or T ⊨ S {\displaystyle T\models S} , when all possible valuations in which T {\displaystyle T} is true, S {\displaystyle S} is ...
According to the document members of pedophilic organizations use of descriptions such as "boylove", "girllove", and "childlove" to indicate the pedophile's gender preference and have ...
In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is read therefore. While it is not generally used in formal writing, it is used in mathematics and shorthand.