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Mathematics is the study of [quantity] , [structure] , [space] , and [change] . [Mathematician] s seek out [patterns] , formulate new [conjecture] s, and establish truth by [rigorous] [deduction] from appropriately chosen [axiom] s and [definition] s.

There is debate over whether mathematical objects such as [number] s and points exist naturally or are human creations. The mathematician [Benjamin Peirce] called mathematics "the science that draws necessary conclusions". [Albert Einstein] , on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

Through the use of [abstraction] and [logic] al [reasoning] , mathematics evolved from [counting] , [calculation] , [measurement] , and the systematic study of the [shape] s and [motions] of physical objects. Practical mathematics has been a human activity for as far back as [written records] exist. [Rigorous arguments] first appeared in [Greek mathematics] , most notably in [Euclid] 's [Elements] . Mathematics continued to develop, for example in China in 300 BCE, in India in 100 CE, and in Arabia in 800 CE, until the [Renaissance] , when mathematical innovations interacting with new [scientific discoveries] led to a rapid increase in the rate of mathematical discovery that continues to the present day.

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