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  2. Google Forms - Wikipedia

    en.wikipedia.org/wiki/Google_Forms

    The Google Forms service has undergone several updates over the years. Features include, but are not limited to, menu search, shuffle of questions for randomized order, limiting responses to once per person, shorter URLs, custom themes, [2] automatically generating answer suggestions when creating forms, [3] and an "Upload file" option for users answering questions that require them to share ...

  3. Vacuous truth - Wikipedia

    en.wikipedia.org/wiki/Vacuous_truth

    These examples, one from mathematics and one from natural language, illustrate the concept of vacuous truths: "For any integer x, if x > 5 then x > 3." [11] – This statement is true non-vacuously (since some integers are indeed greater than 5), but some of its implications are only vacuously true: for example, when x is the integer 2, the statement implies the vacuous truth that "if 2 > 5 ...

  4. Modus ponens - Wikipedia

    en.wikipedia.org/wiki/Modus_ponens

    The form of a modus ponens argument is a mixed hypothetical syllogism, with two premises and a conclusion: If P, then Q. P. Therefore, Q. The first premise is a conditional ("if–then") claim, namely that P implies Q. The second premise is an assertion that P, the antecedent of the conditional claim, is the case.

  5. Corresponding conditional - Wikipedia

    en.wikipedia.org/wiki/Corresponding_conditional

    An argument is valid if and only if its corresponding conditional is a logical truth. It follows that an argument is valid if and only if the negation of its corresponding conditional is a contradiction. Therefore, the construction of a corresponding conditional provides a useful technique for determining the validity of an argument.

  6. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    A categorical proposition contains a subject and predicate where the existential impact of the copula implies the proposition as referring to a class with at least one member, in contrast to the conditional form of hypothetical or materially implicative propositions, which are compounds of other propositions, e.g. "If P, then Q" (P and Q are ...

  7. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    The answer to the first question is ⁠ 2 / 3 ⁠, as is shown correctly by the "simple" solutions. But the answer to the second question is now different: the conditional probability the car is behind door 1 or door 2 given the host has opened door 3 (the door on the right) is ⁠ 1 / 2 ⁠.

  8. Hypothetical syllogism - Wikipedia

    en.wikipedia.org/wiki/Hypothetical_syllogism

    In this example, the first premise is a conditional statement in which "P" is the antecedent and "Q" is the consequent. The second premise "affirms" the antecedent. The conclusion, that the consequent must be true, is deductively valid. A mixed hypothetical syllogism has four possible forms, two of which are valid, while the other two are invalid.

  9. Complex question - Wikipedia

    en.wikipedia.org/wiki/Complex_question

    A complex question, trick question, multiple question, fallacy of presupposition, or plurium interrogationum (Latin, 'of many questions') is a question that has a complex presupposition. The presupposition is a proposition that is presumed to be acceptable to the respondent when the question is asked. The respondent becomes committed to this ...