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Trivialism in symbolic logic; Read as "given any proposition, it is a true proposition.". Trivialism is the logical theory that all statements (also known as propositions) are true and, consequently, that all contradictions of the form "p and not p" (e.g. the ball is red and not red) are true.
Trivial may also refer to any easy case of a proof, which for the sake of completeness cannot be ignored. For instance, proofs by mathematical induction have two parts: the "base case" which shows that the theorem is true for a particular initial value (such as n = 0 or n = 1), and the inductive step which shows that if the theorem is true for a certain value of n, then it is also true for the ...
Imperative mood is often expressed using special conjugated verb forms. Like other finite verb forms, imperatives often inflect for person and number.Second-person imperatives (used for ordering or requesting performance directly from the person being addressed) are most common, but some languages also have imperative forms for the first and third persons (alternatively called cohortative and ...
Etymologically, the Latin word trivium means "the place where three roads meet" (tri + via); hence, the subjects of the trivium are the foundation for the quadrivium, the upper (or "further") division of the medieval education in the liberal arts, which consists of arithmetic (numbers as abstract concepts), geometry (numbers in space), music (numbers in time), and astronomy (numbers in space ...
Imperative may refer to: Imperative mood, a grammatical mood (or mode) expressing commands, direct requests, and prohibitions; Imperative programming, a programming ...
The imperative mood expresses direct commands, requests, and prohibitions. In many circumstances, using the imperative mood may sound blunt or even rude, so it is often used with care. Example: "Paul, do your homework now". An imperative is used to tell someone to do something without argument.
An imperative sentence gives anything from a command or order, to a request, direction, instruction, suggestion, or implication. Imperative sentences are more intentional than exclamatory sentences and do require an audience, [ note 1 ] as their aim is to get the person(s) being addressed either to do or to not do something.
The questions here are always trivial options, the hypotheses are hardly living (at any rate not living for us spectators), the choice between believing truth or falsehood is seldom forced." James concludes this section by asking us to agree "that wherever there is no forced option, the dispassionately judicial intellect with no pet hypothesis ...