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  2. Wikipedia:Writing about math - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Writing_about_math

    Writing about mathematics is a guideline about writing mathematics-related articles. It is designed to ensure that all mathematics articles are well-written. A good article about a mathematical topic should follow this guideline. Each mathematics article should have an esoteric explanation. However, if possible, a mathematics article should ...

  3. Therefore sign - Wikipedia

    en.wikipedia.org/wiki/Therefore_sign

    In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is read therefore. While it is not generally used in formal writing, it is used in mathematics and shorthand.

  4. Logical consequence - Wikipedia

    en.wikipedia.org/wiki/Logical_consequence

    Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. [1] A sentence is said to be a logical consequence of a set of sentences, for a given language , if and only if , using only logic (i.e., without regard to any personal interpretations of the sentences) the sentence must ...

  5. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Premises and conclusions are normally seen as propositions. 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.

  6. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems ; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms ...

  7. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes. [1] [2]Mathematical induction is a method for proving that a statement () is true for every natural number, that is, that the infinitely many cases (), (), (), (), … all hold.