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  2. Truth - Wikipedia

    en.wikipedia.org/wiki/Truth

    A nominal definition explains the meaning of a linguistic expression. A real definition describes the essence of certain objects and enables us to determine whether any given item falls within the definition. [85] Kant holds that the definition of truth is merely nominal and, therefore, we cannot employ it to establish which judgements are true.

  3. Logical truth - Wikipedia

    en.wikipedia.org/wiki/Logical_truth

    Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other than its logical constants).

  4. Truth value - Wikipedia

    en.wikipedia.org/wiki/Truth_value

    true with false and conjunction with disjunction. In classical logic , with its intended semantics, the truth values are true (denoted by 1 or the verum ⊤), and untrue or false (denoted by 0 or the falsum ⊥); that is, classical logic is a two-valued logic .

  5. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    The logical NAND is an operation on two logical values, typically the values of two propositions, that produces a value of false if both of its operands are true. In other words, it produces a value of true if at least one of its operands is false. The truth table for p NAND q (also written as p ↑ q, Dpq, or p | q) is as follows:

  6. Tautology (logic) - Wikipedia

    en.wikipedia.org/wiki/Tautology_(logic)

    In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms, with only the logical constants having a fixed meaning. For example, a formula that states, "the ball is green or the ball is not green," is always true, regardless of what a ball is ...

  7. 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 ...

  8. Definition - Wikipedia

    en.wikipedia.org/wiki/Definition

    A definition states the meaning of a word using other words. This is sometimes challenging. Common dictionaries contain lexical descriptive definitions, but there are various types of definition – all with different purposes and focuses. A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols).

  9. True - Wikipedia

    en.wikipedia.org/wiki/True

    True, a 2013 Elixir novel by Hilary Duff with Elise Allen, a sequel to Devoted; GE True, an anthology TV series based on stories from True magazine; True, the main protagonist from the Netflix animated series True and the Rainbow Kingdom; True Network, a Philippine multimedia platform brand of Nation Broadcasting Corporation and TV5 Network Inc.