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  2. Logical consequence - Wikipedia

    en.wikipedia.org/wiki/Logical_consequence

    Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. [1] A sentence is said to be a logical consequence of a set of sentences, for a given language , if and only if , using only logic (i.e., without regard to any personal interpretations of the sentences) the sentence must ...

  3. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    A fallacy is an incorrect argument or a faulty form of reasoning. This means that the premises provide no or not sufficient support for the conclusion. Fallacies often appear to be correct on the first impression and thereby seduce people into accepting and using them. In logic, the term "fallacy" does not mean that the conclusion is false.

  4. 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 ...

  5. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A logical fallacy involving the use of a word with more than one meaning throughout an argument, leading to a misleading or unsound conclusion. erotetic logic The logic of questions, including the study of the forms and principles of questions and their relationships to answers.

  6. 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.

  7. Premise - Wikipedia

    en.wikipedia.org/wiki/Premise

    An example of this is the use of the rules of inference found within symbolic logic. Aristotle held that any logical argument could be reduced to two premises and a conclusion. [2] Premises are sometimes left unstated, in which case, they are called missing premises, for example: Socrates is mortal because all men are mortal.

  8. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    Computational logic is the branch of logic and computer science that studies how to implement mathematical reasoning and logical formalisms using computers. This includes, for example, automatic theorem provers , which employ rules of inference to construct a proof step by step from a set of premises to the intended conclusion without human ...

  9. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    Naturalistic fallacy – inferring evaluative conclusions from purely factual premises [105] [106] in violation of fact-value distinction. Naturalistic fallacy (sometimes confused with appeal to nature) is the inverse of moralistic fallacy. Is–ought fallacy [107] – deduce a conclusion about what ought to be, on the basis of what is.