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The language of mathematics or mathematical language is an extension of the natural language (for example English) that is used in mathematics and in science for expressing results (scientific laws, theorems, proofs, logical deductions, etc.) with concision, precision and unambiguity.
Personification is the representation of a thing or abstraction as a person, often as an embodiment or incarnation. [1] In the arts, ...
Uses of figurative language, or figures of speech, can take multiple forms, such as simile, metaphor, hyperbole, and many others. [12] Merriam-Webster's Encyclopedia of Literature says that figurative language can be classified in five categories: resemblance or relationship, emphasis or understatement, figures of sound, verbal games, and errors.
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
The definition of a formal proof is intended to capture the concept of proofs as written in the practice of mathematics. The soundness of this definition amounts to the belief that a published proof can, in principle, be converted into a formal proof. However, outside the field of automated proof assistants, this is rarely done in practice.
A common definition of metaphor can be described as a comparison that shows how two things, which are not alike in most ways, are similar in another important way. In this context, metaphors contribute to the creation of multiple meanings within polysemic complexes across different languages. [ 33 ]