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  2. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Logical reasoning is a form of thinking that is concerned with arriving at a conclusion in a rigorous way. [1] This happens in the form of inferences by transforming the information present in a set of premises to reach a conclusion.

  3. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    A syllogism (Ancient Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.

  4. Logical consequence - Wikipedia

    en.wikipedia.org/wiki/Logical_consequence

    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. Modal-formal accounts

  5. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A logical fallacy where the conclusion of an argument is assumed in the premise, making the argument circular. Bew See provability predicate. BHK-interpretation The Brouwer-Heyting-Kolmogorov interpretation, a constructivist interpretation of intuitionistic logic, where the truth of a statement is equated with the existence of a proof for it. bias

  6. Reason - Wikipedia

    en.wikipedia.org/wiki/Reason

    Reason is the capacity of consciously applying logic by drawing valid conclusions from new or existing information, with the aim of seeking the truth. [1] It is associated with such characteristically human activities as philosophy, religion, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans.

  7. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    [3] [12] [6] This is sometimes expressed by stating that, strictly speaking, logic does not study deductive reasoning but the deductive relation between premises and a conclusion known as logical consequence. But this distinction is not always precisely observed in the academic literature. [3]

  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. Argumentation theory - Wikipedia

    en.wikipedia.org/wiki/Argumentation_theory

    Argumentation theory is the interdisciplinary study of how conclusions can be supported or undermined by premises through logical reasoning. With historical origins in logic , dialectic , and rhetoric , argumentation theory includes the arts and sciences of civil debate, dialogue , conversation , and persuasion .