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A limiting case is a type of special case which is arrived at by taking some aspect of the concept to the extreme of what is permitted in the general case. If B is true, one can immediately deduce that A is true as well, and if B is false, A can also be immediately deduced to be false.
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 formal fallacy is a flaw in the structure of a deductive argument that renders the argument invalid, ... but still fallacious. [3] A special case is a mathematical ...
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.
Another special case is the class of problems where each clause contains XOR (i.e. exclusive or) rather than (plain) OR operators. [e] This is in P, since an XOR-SAT formula can also be viewed as a system of linear equations mod 2, and can be solved in cubic time by Gaussian elimination; [18] see the box for an example.
It is a generalization that is accurate, but tags on a qualification that eliminates enough cases (as exceptions); that what remains is much less impressive than what the original statement might have led one to assume. Fallacy of unrepresentative samples is a fallacy where a conclusion is drawn using samples that are unrepresentative or biased ...
An important special case is the existence proof by contradiction: in order to demonstrate that an object with a given property exists, we derive a contradiction from the assumption that all objects satisfy the negation of the property.
In logic and mathematics, proof by example (sometimes known as inappropriate generalization) is a logical fallacy whereby the validity of a statement is illustrated through one or more examples or cases—rather than a full-fledged proof. [1] [2] The structure, argument form and formal form of a proof by example generally proceeds as follows ...