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  2. Socratic method - Wikipedia

    en.wikipedia.org/wiki/Socratic_method

    The Socratic method (also known as method of Elenchus or Socratic debate) is a form of argumentative dialogue between individuals, based on asking and answering questions.. In Plato's dialogue "Theaetetus", Socrates describes his method as a form of "midwifery" because it is employed to help his interlocutors develop their understanding in a way analogous to a child developing in the womb.

  3. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Logical reasoning is concerned with the correctness of arguments. A key distinction is between deductive and non-deductive arguments. Logical reasoning is a mental activity that aims to arrive at a conclusion in a rigorous way. It happens in the form of inferences or arguments by starting from a set of premises and reasoning to a conclusion ...

  4. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    projection. A projection is, roughly, a map from some space or object to another that omits some information on the object or space. For example, R 2 → R , ( x , y ) ↦ x {\displaystyle \mathbb {R} ^ {2}\to \mathbb {R} , (x,y)\mapsto x} is a projection and its restriction to a graph of a function, say, is also a projection.

  5. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    One valid argument form is known as modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes abbreviated as MP) says that if one thing is true, then another will be. It then states that the first is true. The conclusion is that the second thing ...

  6. Begging the question - Wikipedia

    en.wikipedia.org/wiki/Begging_the_question

    Begging the question. Not to be confused with Calling the question. In classical rhetoric and logic, begging the question or assuming the conclusion (Latin: petītiō principiī) is an informal fallacy that occurs when an argument's premises assume the truth of the conclusion. Historically, begging the question refers to a fault in a ...

  7. Glossary of rhetorical terms - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_rhetorical_terms

    Tmesis – separating the parts of a compound word by a different word (or words) to create emphasis or other similar effects. Topos – a line or specific type of argument. Toulmin model – a method of diagramming arguments created by Stephen Toulmin that identifies such components as backing, claim, data, qualifier, rebuttal, and warrant.

  8. Omnipotence paradox - Wikipedia

    en.wikipedia.org/wiki/Omnipotence_paradox

    Wittgenstein also mentions the will, life after death, and God—arguing that, "When the answer cannot be put into words, neither can the question be put into words". [19] Wittgenstein's work expresses the omnipotence paradox as a problem in semantics—the study of how we give symbols meaning. (The retort "That's only semantics," is a way of ...

  9. Ethics in mathematics - Wikipedia

    en.wikipedia.org/wiki/Ethics_in_mathematics

    Ethics in mathematics. Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics. It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental ...