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Arithmetic
Arithmetic (from the Greek 峒€蟻喂胃渭蠈蟼 arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations between them鈥攁ddition, 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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“
I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my previous researches. Disgusted at my want of success, I went away to spend a few days at the seaside, and thought of entirely different things. One day, as I was walking on the cliff, the idea came to me, again with the same characteristics of conciseness, suddenness, and immediate certainty, that arithmetical transformations of indefinite ternar
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”
― Science and Method
― Science and Method
“
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
