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Logical, rational or general grammar was the dominant approach to language until it was supplanted by romanticism. [3] Since then, there have been attempts to revive logical grammar. The idea is today at least partially represented by categorial grammar , formal semantics , and transcendental phenomenology ,
As the study of argument is of clear importance to the reasons that we hold things to be true, logic is of essential importance to rationality. Arguments may be logical if they are "conducted or assessed according to strict principles of validity", [1] while they are rational according to the broader requirement that they are based on reason and knowledge.
Logical reasoning is a form of thinking that is concerned with arriving at a conclusion in a rigorous way. [1] This happens in the form of inferences by transforming the information present in a set of premises to reach a conclusion.
The topic of rationality is relevant to a variety of disciplines. It plays a central role in philosophy, psychology, Bayesianism, decision theory, and game theory. [7] But it is also covered in other disciplines, such as artificial intelligence, behavioral economics, microeconomics, and neuroscience. Some forms of research restrict themselves ...
Argumentation schemes are stereotypical patterns of inference, combining semantic-ontological relations with types of reasoning and logical axioms and representing the abstract structure of the most common types of natural arguments. [13] A typical example is the argument from expert opinion, shown below, which has two premises and a conclusion ...
This means that if a sentence entails another sentence in the first logic, then the translation of the first sentence should entail the translation of the second sentence in the second logic. This way, a translation from one logic to another represents the formulas, proofs, and models of the first logic in terms of the second. [58]
A statement is logically true if, and only if its opposite is logically false. The opposite statements must contradict one another. In this way all logical connectives can be expressed in terms of preserving logical truth. The logical form of a sentence is determined by its semantic or syntactic structure and by the placement of logical constants.
The Sentence in Written English: A Syntactic Study Based on an Analysis of Scientific Texts. Cambridge University Press. p. 352. ISBN 978-0-521-11395-3. Jespersen, Otto (1982). Growth and Structure of the English Language. Chicago and London: University of Chicago Press. p. 244. ISBN 0-226-39877-3. Jespersen, Otto (1992). Philosophy of Grammar.
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