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Arithmetic
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider
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“
Without a theory, a plan,
the mere mechanical manipulation
of the numbers in a problem
does not necessarily make sense
just because you are
using Arithmetic!
”
― The Education of T.C. Mits: What modern mathematics means to you
― The Education of T.C. Mits: What modern mathematics means to you
“
If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
”
― Endless Horizons
― Endless Horizons
