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  2. Statement (logic) - Wikipedia

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

    are two different sentences that make the same statement. In either case, a statement is viewed as a truth bearer. Examples of sentences that are (or make) true statements: "Socrates is a man." "A triangle has three sides." "Madrid is the capital of Spain." Examples of sentences that are also statements, even though they aren't true:

  3. 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.

  4. False dilemma - Wikipedia

    en.wikipedia.org/wiki/False_dilemma

    (2) "If you lie, you are an immoral person (since it is immoral to lie)". (3) "Either you tell the truth, or you lie". Therefore "[y]ou are an immoral person (whatever choice you make in the given situation)". [1] This example constitutes a false dilemma because there are other choices besides telling the truth and lying, like keeping silent.

  5. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    The conclusion is that either the first outcome or the second outcome will happen. The criticism with this form is that it does not give a definitive conclusion; just a statement of possibilities. [3] When it is written in argument form it looks like below. Either A or B If A then C If B then D Therefore either C or D

  6. Either/or - Wikipedia

    en.wikipedia.org/wiki/Either/Or

    Either/or and related terms may refer to: Either/Or (Kierkegaard book), an influential book by philosopher Søren Kierkegaard; Either/Or (Batuman novel), a novel by Elif Batuman; Either/Or, music by Elliott Smith; Either/Or, a comedy game show; either...or and neither...nor, examples of correlative conjunctions in English

  7. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    [1] [13] Examples of such compound sentences might include: Wikipedia is a free online encyclopedia that anyone can edit, and millions already have. (conjunction) It is not true that all Wikipedia editors speak at least three languages. (negation) Either London is the capital of England, or London is the capital of the United Kingdom, or both ...

  8. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    For example, if the formula () stands for the sentence "Socrates is a banker" then the formula articulates the sentence "It is possible that Socrates is a banker". [127] To include these symbols in the logical formalism, modal logic introduces new rules of inference that govern what role they play in inferences.

  9. 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 ...

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