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  2. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    A variety of basic concepts is used in the study and analysis of logical reasoning. Logical reasoning happens by inferring a conclusion from a set of premises. [3] Premises and conclusions are normally seen as propositions. A proposition is a statement that makes a claim about what is the case.

  3. Wason selection task - Wikipedia

    en.wikipedia.org/wiki/Wason_selection_task

    One experiment revolving around the Wason four card problem found many influences on people's selection in this task experiment that were not based on logic. The non-logical inferences made by the participants from this experiment demonstrate the possibility and structure of extra logical reasoning mechanisms. [5]

  4. Mathematical logic - Wikipedia

    en.wikipedia.org/wiki/Mathematical_logic

    Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]

  5. List of paradoxes - Wikipedia

    en.wikipedia.org/wiki/List_of_paradoxes

    These paradoxes may be due to fallacious reasoning , or an unintuitive solution . The term paradox is often used to describe a counter-intuitive result. However, some of these paradoxes qualify to fit into the mainstream viewpoint of a paradox, which is a self-contradictory result gained even while properly applying accepted ways of reasoning .

  6. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    First-order logic—also called predicate logic, predicate calculus, quantificational logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables.

  7. First principle - Wikipedia

    en.wikipedia.org/wiki/First_principle

    In philosophy, "first principles" are from first cause [1] attitudes commonly referred to as a priori terms and arguments, which are contrasted to a posteriori terms, reasoning, or arguments, in that the former are simply assumed and exist prior to the reasoning process, and the latter are deduced or inferred after the initial reasoning process.

  8. Axiom - Wikipedia

    en.wikipedia.org/wiki/Axiom

    Non-logical axioms are formulas that play the role of theory-specific assumptions. Reasoning about two different structures, for example, the natural numbers and the integers, may involve the same logical axioms; the non-logical axioms aim to capture what is special about a particular structure (or set of structures, such as groups).

  9. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.