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  2. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    Mind projection fallacy – assuming that a statement about an object describes an inherent property of the object, rather than a personal perception. Moralistic fallacy – inferring factual conclusions from evaluative premises in violation of fact–value distinction (e.g.: inferring is from ought).

  3. Proof by example - Wikipedia

    en.wikipedia.org/wiki/Proof_by_example

    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 ...

  4. Argument from authority - Wikipedia

    en.wikipedia.org/wiki/Argument_from_authority

    The argument from authority is a logical fallacy, [2] and obtaining knowledge in this way is fallible. [3][4] However, in particular circumstances, it is sound to use as a practical although fallible way of obtaining information that can be considered generally likely to be correct if the authority is a real and pertinent intellectual authority ...

  5. Argument from ignorance - Wikipedia

    en.wikipedia.org/wiki/Argument_from_ignorance

    Argument from ignorance. Argument from ignorance (from Latin: argumentum ad ignorantiam), also known as appeal to ignorance (in which ignorance represents "a lack of contrary evidence"), is a fallacy in informal logic. The fallacy is committed when one asserts that a proposition is true because it has not yet been proven false or a proposition ...

  6. 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 ...

  7. Formal fallacy - Wikipedia

    en.wikipedia.org/wiki/Formal_fallacy

    Formal fallacy. In logic and philosophy, a formal fallacy[a] is a pattern of reasoning rendered invalid by a flaw in its logical structure that can neatly be expressed in a standard logic system, for example propositional logic. [2] It is defined as a deductive argument that is invalid. The argument itself could have true premises, but still ...

  8. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    One valid argument form is known as modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes abbreviated as MP) says that if one thing is true, then another will be. It then states that the first is true. The conclusion is that the second thing ...

  9. Affirming the consequent - Wikipedia

    en.wikipedia.org/wiki/Affirming_the_consequent

    In propositional logic, affirming the consequent, sometimes called converse error, fallacy of the converse, or confusion of necessity and sufficiency, is a formal fallacy of taking a true conditional statement (e.g., "if the lamp were broken, then the room would be dark") under certain assumptions (there are no other lights in the room, it is ...