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  2. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Deductive reasoning, by contrast, is non-ampliative since it only extracts information already present in the premises without adding any additional information. [62] [63] [59] So with non-deductive reasoning, one can learn something new that one did not know before. But the fact that new information is added means that this additional ...

  3. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    In this way, it contrasts with deductive reasoning examined by formal logic. [35] Non-deductive arguments make their conclusion probable but do not ensure that it is true. An example is the inductive argument from the empirical observation that "all ravens I have seen so far are black" to the conclusion "all ravens are black". [36] A further ...

  4. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    Deductive reasoning contrasts with non-deductive or ampliative reasoning. For ampliative arguments, such as inductive or abductive arguments, the premises offer weaker support to their conclusion: they indicate that it is most likely, but they do not guarantee its truth. They make up for this drawback with their ability to provide genuinely new ...

  5. 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 ...

  6. 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.

  7. Argument - Wikipedia

    en.wikipedia.org/wiki/Argument

    Non-deductive logic is reasoning using arguments in which the premises support the conclusion but do not entail it. Forms of non-deductive logic include the statistical syllogism , which argues from generalizations true for the most part, and induction , a form of reasoning that makes generalizations based on individual instances.

  8. Inductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Inductive_reasoning

    Inductive reasoning is any of various methods of reasoning in which broad generalizations or principles are derived from a body of observations. [1] [2] This article is concerned with the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive argument is certain given the premises are correct; in contrast, the truth of the ...

  9. 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.