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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. Critical thinking - Wikipedia

    en.wikipedia.org/wiki/Critical_thinking

    Critical thinking is the process of analyzing available facts, evidence, observations, and arguments to make sound conclusions or informed choices. It involves recognizing underlying assumptions, providing justifications for ideas and actions, evaluating these justifications through comparisons with varying perspectives, and assessing their rationality and potential consequences. [1]

  4. Criteria of truth - Wikipedia

    en.wikipedia.org/wiki/Criteria_of_truth

    Formal logic and mathematical rules are examples of rigorous consistency. An example would be: if all As are Bs and all Bs are Cs, then all As are Cs. While this standard is of high value, it is limited. For example, the premises are a priori (or self-apparent), requiring another test of truth to employ this criterion. Additionally, strict ...

  5. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    The standard of rigor is not absolute and has varied throughout history. A proof can be presented differently depending on the intended audience. To gain acceptance, a proof has to meet communal standards of rigor; an argument considered vague or incomplete may be rejected. The concept of proof is formalized in the field of mathematical logic. [12]

  6. Intellectual honesty - Wikipedia

    en.wikipedia.org/wiki/Intellectual_honesty

    In scholarly systems, these contributions undergo rigorous evaluation before becoming a basis for further exploration. Upholding intellectual honesty is thought to be crucial to guarantee the transparency and openness of intellectual contributions in order to foster constructive criticism.

  7. Analytical skill - Wikipedia

    en.wikipedia.org/wiki/Analytical_skill

    The cerebral cortex is responsible for analytical thinking in the human brain. Analytical skill is the ability to deconstruct information into smaller categories in order to draw conclusions. [1] Analytical skill consists of categories that include logical reasoning, critical thinking, communication, research, data analysis and creativity.

  8. Socratic questioning - Wikipedia

    en.wikipedia.org/wiki/Socratic_questioning

    Socratic questioning (or Socratic maieutics) [1] is an educational method named after Socrates that focuses on discovering answers by asking questions of students. According to Plato, Socrates believed that "the disciplined practice of thoughtful questioning enables the scholar/student to examine ideas and be able to determine the validity of those ideas". [2]

  9. Logic and rationality - Wikipedia

    en.wikipedia.org/wiki/Logic_and_rationality

    As the study of argument is of clear importance to the reasons that we hold things to be true, logic is of essential importance to rationality. Arguments may be logical if they are "conducted or assessed according to strict principles of validity", [1] while they are rational according to the broader requirement that they are based on reason and knowledge.