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  2. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    Conclusion/Consequent: All Greeks are mortal. Each of the three distinct terms represents a category. From the example above, humans, mortal, and Greeks: mortal is the major term, and Greeks the minor term. The premises also have one term in common with each other, which is known as the middle term; in this example, humans. Both of the premises ...

  3. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    Logical form replaces any sentences or ideas with letters to remove any bias from content and allow one to evaluate the argument without any bias due to its subject matter. [1] Being a valid argument does not necessarily mean the conclusion will be true. It is valid because if the premises are true, then the conclusion has to be true.

  4. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Premises and conclusions are normally seen as propositions. A proposition is a statement that makes a claim about what is the case. In this regard, propositions act as truth-bearers: they are either true or false. [18] [19] [3] For example, the sentence "The water is boiling." expresses a proposition since it can be true or false.

  5. Modus tollens - Wikipedia

    en.wikipedia.org/wiki/Modus_tollens

    The form of a modus tollens argument is a mixed hypothetical syllogism, with two premises and a conclusion: If P, then Q. Not Q. Therefore, not P. The first premise is a conditional ("if-then") claim, such as P implies Q. The second premise is an assertion that Q, the consequent of the conditional claim, is not the case.

  6. Argument - Wikipedia

    en.wikipedia.org/wiki/Argument

    An argument by analogy may use a particular truth in a premise to argue towards a similar particular truth in the conclusion. For example, if A. Plato was mortal, and B. Socrates was like Plato in other respects, then asserting that C. Socrates was mortal is an example of argument by analogy because the reasoning employed in it proceeds from a ...

  7. Logical consequence - Wikipedia

    en.wikipedia.org/wiki/Logical_consequence

    Consider the modal account in terms of the argument given as an example above: All frogs are green. Kermit is a frog. Therefore, Kermit is green. The conclusion is a logical consequence of the premises because we can not imagine a possible world where (a) all frogs are green; (b) Kermit is a frog; and (c) Kermit is not green.

  8. Premise - Wikipedia

    en.wikipedia.org/wiki/Premise

    In this example, the dependent clauses preceding the comma (namely, "all men are mortal" and "Socrates is a man") are the premises, while "Socrates is mortal" is the conclusion. The proof of a conclusion depends on both the truth of the premises and the validity of the argument. Also, additional information is required over and above the ...

  9. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    For example, when the conclusion of an argument is very plausible, the subjects may lack the motivation to search for counterexamples among the constructed models. [3] Both mental logic theories and mental model theories assume that there is one general-purpose reasoning mechanism that applies to all forms of deductive reasoning.

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