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  2. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    The geometrical method is a method of philosophy based on deductive reasoning. It starts from a small set of self-evident axioms and tries to build a comprehensive logical system based only on deductive inferences from these first axioms . [ 70 ]

  3. Reason - Wikipedia

    en.wikipedia.org/wiki/Reason

    A subdivision of philosophy and a variety of reasoning is logic. The traditional main division made in philosophy is between deductive reasoning and inductive reasoning. Formal logic has been described as the science of deduction. [65] The study of inductive reasoning is generally carried out within the field known as informal logic or critical ...

  4. Philosophy of logic - Wikipedia

    en.wikipedia.org/wiki/Philosophy_of_logic

    Philosophy of logic is the area of philosophy that studies ... and focuses on deductive ... An inference is the process of reasoning from premises to a ...

  5. 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. "Socrates" at the Louvre

  6. Logic and rationality - Wikipedia

    en.wikipedia.org/wiki/Logic_and_rationality

    For the most part this discussion of logic deals only with deductive logic. Abductive reasoning is a form of inference which goes from an observation to a theory which accounts for the observation, ideally seeking to find the simplest and most likely explanation. In abductive reasoning, unlike in deductive reasoning, the premises do not ...

  7. Discourse on the Method - Wikipedia

    en.wikipedia.org/wiki/Discourse_on_the_Method

    Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences (French: Discours de la Méthode pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical treatise published by René Descartes in 1637.

  8. Argument–deduction–proof distinctions - Wikipedia

    en.wikipedia.org/wiki/Argument–deduction...

    Such reasoning itself, or the chain of intermediates representing it, has also been called an argument, more fully a deductive argument. In many cases, an argument can be known to be valid by means of a deduction of its conclusion from its premises but non-deductive methods such as Venn diagrams and other graphic procedures have been proposed.

  9. Modus tollens - Wikipedia

    en.wikipedia.org/wiki/Modus_tollens

    In propositional logic, modus tollens (/ ˈ m oʊ d ə s ˈ t ɒ l ɛ n z /) (MT), also known as modus tollendo tollens (Latin for "method of removing by taking away") [2] and denying the consequent, [3] is a deductive argument form and a rule of inference. Modus tollens is a mixed hypothetical syllogism that takes the form of "If P, then Q ...