What does it mean when mathematics consider about the level of formality in its language?
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Martin Joos (1907–78), an American linguist, identified five degrees of formality in language: intimate, casual, consultative, formal, and frozen. These are sometimes referred to as registers.
Mathematics has no generally accepted definition. Different schools of thought, particularly in philosophy, have put forth radically different definitions. All proposed definitions are controversial in their own ways. ]
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