sub category: Algebra|Applied mathematics|Arithmetic|Calculus|Equations|Geometry|Mathematical analysis|Mathematics education|Mathematical practice|Measurement|Philosophy of mathematics|Probability|Proofs|Theorems|Trigonometry|Unsolved problems in mathematics|Number

- Probability
- Probability is used to quantify an attitude of mind towards some proposition of whose truth we are not certain. The proposition of interest is usually of the form "Will a specific event occur?" The at ...
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- Aesthetics
- Many practicing mathematicians have been drawn to their subject because of a sense of beauty they perceive in it. One sometimes hears the sentiment that mathematicians would like to leave philosophy t ...
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- Arguments
- Indispensability argument for realism This argument, associated with Willard Quine and Hilary Putnam, is considered by Stephen Yablo to be one of the most challenging arguments in favor of the accepta ...
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- Major themes
- Mathematical realism, like realism in general, holds that mathematical entities exist independently of the human mind. Thus humans do not invent mathematics, but rather discover it, and any other inte ...
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- History
- The origin of mathematics is subject to argument. Whether the birth of mathematics was a random happening or induced by necessity duly contingent of other subjects, say for example physics, is still a ...
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- Recurrent themes
- Recurrent themes include:What are the sources of mathematical subject matter?What is the ontological status of mathematical entities?What does it mean to refer to a mathematical object?What is the cha ...
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- Philosophy of mathematics
- The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provi ...
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- Definitions and theories
- Classical definition In the classical definition, which is standard throughout the physical sciences, measurement is the determination or estimation of ratios of quantities. Quantity and measurement a ...
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- Difficulties
- Since accurate measurement is essential in many fields, and since all measurements are necessarily approximations, a great deal of effort must be taken to make measurements as accurate as possible. Fo ...
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- Units and systems
- Main articles: Units of measurement and Systems of measurementA baby bottle that measures in three measurement systems, Imperial (U.K.), U.S. customary, and metric.Four measuring devices having metric ...
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- Standardization of measurement units
- Measurements are most commonly made in the SI system, which contains seven fundamental units: kilogram, metre, candela, second, ampere, kelvin, and mole. Six of these units are artifact-free (defined ...
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- Measurement
- Measurement (from Old French, mesurement) is the assignment of numbers to objects or events. It is a cornerstone of most natural sciences, technology, economics, and quantitative research in other soc ...
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- Mathematical practice
- Quasi-empiricism This distinction is considered especially important by adherents of quasi-empiricism in mathematics, which denies the possibility of foundations of mathematics and attempts to refocus ...
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- Organizations
- Advisory Committee on Mathematics EducationAmerican Mathematical Association of Two-Year CollegesAssociation of Teachers of MathematicsMathematical AssociationNational Council of Teachers of Mathemati ...
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- Mathematics educators
- The following are some of the people who have had a significant influence on the teaching of mathematics at various periods in history:Euclid (fl. 300 BC), Ancient Greek, author of The ElementsTatyana ...
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