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  2. Sentence (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Sentence_(mathematical_logic)

    For the interpretation of formulas, consider these structures: the positive real numbers, the real numbers, and complex numbers. The following example in first-order logic (=) is a sentence. This sentence means that for every y, there is an x such that =.

  3. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    A complex number is an expression of the form a + bi, where a and b are real numbers, and i is an abstract symbol, the so-called imaginary unit, whose meaning will be explained further below. For example, 2 + 3i is a complex number. [3]

  4. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A statement in logic that is formed by combining two or more statements with logical connectives, allowing for the construction of more complex statements from simpler ones. [67] [68] comprehension schema A principle in set theory and logic allowing for the formation of sets based on a defining property or condition. computable function

  5. Atomic sentence - Wikipedia

    en.wikipedia.org/wiki/Atomic_sentence

    For example, "The dog ran" is an atomic sentence in natural language, whereas "The dog ran and the cat hid" is a molecular sentence in natural language. From a logical analysis point of view, the truth or falsity of sentences in general is determined by only two things: the logical form of the sentence and the truth or falsity of its simple ...

  6. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    A proposition is a statement that makes a claim about what is the case. In this regard, propositions act as truth-bearers: they are either true or false. [18] [19] [3] For example, the sentence "The water is boiling." expresses a proposition since it can be true or false.

  7. Loaded question - Wikipedia

    en.wikipedia.org/wiki/Loaded_question

    A loaded question is a form of complex question that contains a controversial assumption (e.g., a presumption of guilt). [1] Such questions may be used as a rhetorical tool: the question attempts to limit direct replies to be those that serve the questioner's agenda. [2] The traditional example is the question "Have you stopped beating your wife?"

  8. Logical connective - Wikipedia

    en.wikipedia.org/wiki/Logical_connective

    A less trivial example of a redundancy is the classical equivalence between and . Therefore, a classical-based logical system does not need the conditional operator " → {\displaystyle \to } " if " ¬ {\displaystyle \neg } " (not) and " ∨ {\displaystyle \vee } " (or) are already in use, or may use the " → {\displaystyle \to } " only as a ...

  9. Vagueness - Wikipedia

    en.wikipedia.org/wiki/Vagueness

    For example, the English adjective "tall" is vague since it is not clearly true or false for someone of middling height. By contrast, the word "prime" is not vague since every number is definitively either prime or not. Vagueness is commonly diagnosed by a predicate's ability to give rise to the Sorites paradox.