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In logic and deductive reasoning, an argument is sound if it is both valid in form and has no false premises. [1] Soundness has a related meaning in mathematical logic, wherein a formal system of logic is sound if and only if every well-formed formula that can be proven in the system is logically valid with respect to the logical semantics of the system.
Of the many and varied argument forms that can possibly be constructed, only very few are valid argument forms. In order to evaluate these forms, statements are put into logical form . Logical form replaces any sentences or ideas with letters to remove any bias from content and allow one to evaluate the argument without any bias due to its ...
Logical reasoning is concerned with the correctness of arguments. A key distinction is between deductive and non-deductive arguments. Logical reasoning is a mental activity that aims to arrive at a conclusion in a rigorous way.
Fallacies are types of erroneous reasoning that render arguments logically unsound. [7] According to The New Handbook of Cognitive Therapy Techniques, they include "unsubstantiated assertions that are often delivered with a conviction that makes them sound as though they are proven facts". [8]
An argument is a set of premises together with a conclusion. [60] An inference is the process of reasoning from these premises to the conclusion. [43] But these terms are often used interchangeably in logic. Arguments are correct or incorrect depending on whether their premises support their conclusion.
Informal fallacies – arguments that are logically unsound for lack of well-grounded premises. [14] Argument from incredulity – when someone can't imagine something to be true, and therefore deems it false, or conversely, holds that it must be true because they can't see how it could be false. [15]
Here is the technical definition of one logical fallacy. Denying the antecedent is a logical fallacy based on drawing an untrue conclusion from an if–then argument. If X is true, then Y must ...
A logical fallacy involving the use of a word with more than one meaning throughout an argument, leading to a misleading or unsound conclusion. erotetic logic The logic of questions, including the study of the forms and principles of questions and their relationships to answers. Eubulides paradox