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  2. Hypothetical imperative - Wikipedia

    en.wikipedia.org/wiki/Hypothetical_imperative

    Hypothetical imperatives tell us how to act in order to achieve a specific goal and the commandment of reason applies only conditionally, e.g. "I must study to get a degree." To put it simply, a hypothetical imperative is the blueprint for the use of reason in the interest of achieving a goal.

  3. Imperative logic - Wikipedia

    en.wikipedia.org/wiki/Imperative_logic

    Imperative logic is the field of logic concerned with imperatives. In contrast to declaratives, it is not clear whether imperatives denote propositions or more generally what role truth and falsity play in their semantics. Thus, there is almost no consensus on any aspect of imperative logic.

  4. What If? 2 (book) - Wikipedia

    en.wikipedia.org/wiki/What_If?_2_(book)

    What If? 2 continues in the same vein as its predecessor in attempting to provide logical, science- and mathematics-based answers to extreme hypothetical questions and situations. [2] The author uses techniques made famous by physicist Enrico Fermi and his Fermi problems , with which the answers to seemingly complex questions can be arrived at ...

  5. 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 "mode that by denying denies") [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. Not Q ...

  6. Procedural knowledge - Wikipedia

    en.wikipedia.org/wiki/Procedural_knowledge

    Procedural knowledge (i.e., knowledge-how) is different from descriptive knowledge (i.e., knowledge-that) in that it can be directly applied to a task. [2] [4] For instance, the procedural knowledge one uses to solve problems differs from the declarative knowledge one possesses about problem solving because this knowledge is formed by doing.

  7. Ross–Littlewood paradox - Wikipedia

    en.wikipedia.org/wiki/Ross–Littlewood_paradox

    A graph that shows the number of balls in and out of the vase for the first ten iterations of the problem. The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the paradoxical, or at least non-intuitive, nature of infinity.

  8. Undergraduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Undergraduate_Texts_in...

    Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size.

  9. Categorical proposition - Wikipedia

    en.wikipedia.org/wiki/Categorical_proposition

    Quantity refers to the number of members of the subject class (A class is a collection or group of things designated by a term that is either subject or predicate in a categorical proposition. [3]) that are used in the proposition. If the proposition refers to all members of the subject class, it is universal.