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  2. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    Fallacy of many questions (complex question, fallacy of presuppositions, loaded question, plurium interrogationum) – someone asks a question that presupposes something that has not been proven or accepted by all the people involved. This fallacy is often used rhetorically so that the question limits direct replies to those that serve the ...

  3. Mathematical fallacy - Wikipedia

    en.wikipedia.org/wiki/Mathematical_fallacy

    In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...

  4. Fallacy - Wikipedia

    en.wikipedia.org/wiki/Fallacy

    An example of a language dependent fallacy is given as a debate as to who in humanity are learners: the wise or the ignorant. [18]: 3 A language-independent fallacy is, for example: "Coriscus is different from Socrates." "Socrates is a man." "Therefore, Coriscus is different from a man." [18]: 4

  5. Proof by example - Wikipedia

    en.wikipedia.org/wiki/Proof_by_example

    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 ...

  6. Proof by assertion - Wikipedia

    en.wikipedia.org/wiki/Proof_by_assertion

    An argument that actually contains premises that are all the same as the assertion is thus proof by assertion. This fallacy is sometimes used as a form of rhetoric by politicians, or during a debate as a filibuster. In its extreme form, it can also be a form of brainwashing. [1] Modern politics contains many examples of proofs by assertion.

  7. Formal fallacy - Wikipedia

    en.wikipedia.org/wiki/Formal_fallacy

    A formal fallacy is contrasted with an informal fallacy which may have a valid logical form and yet be unsound because one or more premises are false. A formal fallacy, however, may have a true premise, but a false conclusion. The term 'logical fallacy' is sometimes used in everyday conversation, and refers to a formal fallacy.

  8. Straight and Crooked Thinking - Wikipedia

    en.wikipedia.org/wiki/Straight_and_Crooked_Thinking

    Thirty-eight fallacies are discussed in the book. Among them are: No. 3. proof by example, biased sample, cherry picking; No. 6. ignoratio elenchi: "red herring"; No ...

  9. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    Another form of argument is known as modus tollens (commonly abbreviated MT). In this form, you start with the same first premise as with modus ponens. However, the second part of the premise is denied, leading to the conclusion that the first part of the premise should be denied as well.