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An argument map or argument diagram is a visual representation of the structure of an argument. An argument map typically includes all the key components of the argument, traditionally called the conclusion and the premises , also called contention and reasons . [ 1 ]
A Euler diagram illustrating a fallacy: Statement 1: Most of the green is touching the red. Statement 2: Most of the red is touching the blue. Logical fallacy: Since most of the green is touching red, and most of the red is touching blue, most of the green must be touching blue. This, however, is a false statement.
Trivial objections (also referred to as hair-splitting, nothing but objections, barrage of objections and banal objections) is an informal logical fallacy where irrelevant and sometimes frivolous objections are made to divert the attention away from the topic that is being discussed. [1] [2] This type of argument is called a "quibble" or ...
All squares are rectangles (but not all rectangles are squares); therefore the square is a special case of the rectangle. Fermat's Last Theorem , that a n + b n = c n has no solutions in positive integers with n > 2 , is a special case of Beal's conjecture , that a x + b y = c z has no primitive solutions in positive integers with x , y , and z ...
Naturalistic fallacy fallacy is a type of argument from fallacy. Straw man fallacy – refuting an argument different from the one actually under discussion, while not recognizing or acknowledging the distinction. [110] Texas sharpshooter fallacy – improperly asserting a cause to explain a cluster of data. [111]
A naturalistic fallacy can occur, for example, in the case of sheer quantity metrics based on the premise "more is better" [43] or, in the case of developmental assessment in the field of psychology, "higher is better". [46] A false analogy occurs when claims are supported by unsound comparisons between data points.
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science.Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language.
The main focus of most logicians is to study the criteria according to which an argument is correct or incorrect. A fallacy is committed if these criteria are violated. In the case of formal logic, they are known as rules of inference. [93] They are definitory rules, which determine whether an inference is correct or which inferences are allowed.