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Examples from the classical and modern period represent a realistic approach to linguistics, while accounts written during the Age of Enlightenment represent rationalism, focusing on human thought. [1] [2] Logical, rational or general grammar was the dominant approach to language until it was supplanted by romanticism. [3]
A variety of basic concepts is used in the study and analysis of logical reasoning. Logical reasoning happens by inferring a conclusion from a set of premises. [3] Premises and conclusions are normally seen as propositions. A proposition is a statement that makes a claim about what is the case.
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.
For example, if A. Plato was mortal, and B. Socrates was like Plato in other respects, then asserting that C. Socrates was mortal is an example of argument by analogy because the reasoning employed in it proceeds from a particular truth in a premise (Plato was mortal) to a similar particular truth in the conclusion, namely that Socrates was mortal.
For example, if the formula () stands for the sentence "Socrates is a banker" then the formula articulates the sentence "It is possible that Socrates is a banker". [127] To include these symbols in the logical formalism, modal logic introduces new rules of inference that govern what role they play in inferences.
Rational analysis is a theoretical framework, methodology, and research program in cognitive science that has been developed by John Anderson. [ 1 ] [ 2 ] The goal of rational analysis as a research program is to explain the function and purpose of cognitive processes and to discover the structure of the mind.
For example, in collectivistic cultures, decisions may be made based on what is best for the group, whereas in individualistic cultures, decisions may prioritize individual needs and desires. Overall, decision making is a complex process that involves many factors, including emotion, risk, pragmatics, and cultural background.
After a detailed analysis of several paradigmatic examples drawn from ancient Greek texts, D Walton and others formulated the following eleven properties as the defining characteristics of plausible reasoning. [6] Plausible reasoning proceeds from premises that are more plausible to a conclusion that was less plausible before the plausible ...