Logic

William Briggs

Chapter Chapter 2 in Uncertainty, 2016, pp 17-26 from Springer

Abstract: Abstract Logical truth is conditional, as are all necessary and local truths, on the premises given or assumed. Logic is the study of the relation between propositions, between premises and conclusion, that is. So too is probability, which is the continuation, fullness, or completion of logic. All arguments use language, and therefore the terms, definitions, and grammar of language are part of the tacit premises in every argument. It is well to bring these tacit premises out when possible. Logic, like mathematics, is not empirical, though observations may inform logic and math, and logic and math may be used on empirical propositions. Probability, because it is part of logic, is also not empirical; and it, too, can be used on empirical propositions. Syllogistic is preferred over symbolic logic for its ease of understanding; syllogisms are an ideal way of grouping evidence. The fundamental principles of logic ultimately are not formal in a sense to be defined. Finally, not all fallacies are what they seem.

Keywords: Propositional Variable; Logical Truth; Logical Knowledge; Minor Premise; Universal Truth (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-39756-6_2

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