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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. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    Deductive reasoning usually happens by applying rules of inference. A rule of inference is a way or schema of drawing a conclusion from a set of premises.[17] This happens usually based only on the logical formof the premises. A rule of inference is valid if, when applied to true premises, the conclusion cannot be false.

  4. Proof by assertion - Wikipedia

    en.wikipedia.org/wiki/Proof_by_assertion

    Proof by assertion, sometimes informally referred to as proof by repeated assertion, is an informal fallacy in which a proposition is repeatedly restated regardless of contradiction and refutation. [ 1 ] The proposition can sometimes be repeated until any challenges or opposition cease, letting the proponent assert it as fact, and solely due to ...

  5. Fallacy - Wikipedia

    en.wikipedia.org/wiki/Fallacy

    A formal fallacy, deductive fallacy, logical fallacy or non sequitur (Latin for "it does not follow") is a flaw in the structure of a deductive argument that renders the argument invalid. The flaw can be expressed in the standard system of logic. [ 1 ] Such an argument is always considered to be wrong.

  6. 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 ...

  7. Logical truth - Wikipedia

    en.wikipedia.org/wiki/Logical_truth

    Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other ...

  8. 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 ...

  9. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables. Rather than propositions such as "all men are mortal", in first-order logic one can have expressions in the form "for all x, if x is a man, then x is mortal"; where "for all x" is a quantifier, x is a variable, and "...