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Good day all,

My first post 14 hours ago was an inquiry about how I can develop a solid foundation in understanding and applying mathematics to life.

Having got three good responses I've opened up an ages old photo-copied book which I believe will aid me further in my journey.

So I started reading and come to realize I don't understand what Arithmetic means or is.

When I googled for the derivation of it so as to see where the word derives from I ended up finding the definition instead: "the branch of mathematics dealing with the properties and manipulation of numbers."

So I ask, what branches are there in mathematics that deviates from dealing with properties and the manipulation of numbers ?

Is the definition incorrect, am I misunderstanding it ?

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    Mathematical logic is a branch of mathematics that doesn’t deal with numbers – J. W. Tanner Jan 14 '20 at 19:04
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    Most branches? Graph theory, topology, and knot theory to name a few... You could argue that even enumerative combinatorics doesn't. Granted in some fields which aren't called arithmetic, one might use arithmetic to complete certain tasks... but the focus of one's attention in the study of those fields is certainly not the arithmetic itself. Arithmetic in those fields is just a tool to advance from one step in the process to the next. – JMoravitz Jan 14 '20 at 19:48
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    How about geometry? – Andrei Jan 14 '20 at 19:53

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