Statement (logic And Semantics)
In logic and semantics, the term statement is variously understood to mean either: #a meaningful declarative sentence that is true or false, or #a proposition. Which is the '' assertion'' that is made by (i.e., the meaning of) a true or false declarative sentence. "A statement is defined as that which is ''expressible'' by a ''sentence'', and is either true or false... A statement is a more abstract entity than even a sentence type. It is not identical with the sentence used to express it... hat is,different sentences can be used to express the same statement." In the latter case, a (declarative) sentence is just one way of expressing an underlying statement. A statement is what a sentence means, it is the notion or idea that a sentence expresses, i.e., what it represents. For example, it could be said that "2 + 2 = 4" and "two plus two equals four" are two different sentences expressing the same statement. As another example, consider that the Arabic numeral '7', the Roman num ...
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Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. Informal logic examines arguments expressed in natural language whereas formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a specific logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to wor ...
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