Difference between revisions of "What is the definition of Pure Mathematics?"
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That may be true for some areas of math. However, what about geometry, trigonometry, and calculus? And what is the definition of numbers? Now you go to the dictionary and say ''The relationship between measurements and quantities using numbers and symbols. This is, however, not fully true because this definition also uses applied mathematics. We want ''pure mathematics''. | That may be true for some areas of math. However, what about geometry, trigonometry, and calculus? And what is the definition of numbers? Now you go to the dictionary and say ''The relationship between measurements and quantities using numbers and symbols. This is, however, not fully true because this definition also uses applied mathematics. We want ''pure mathematics''. | ||
| − | Also, most of these definitions miss one area of math. ''Chaos Theory''. What is Chaos Theory? Chaos Theory is a recently discovered area of math where nothing can be predicted but nothing is random. We are only at the beginning of learning it. For example can a butterfly that flaps his wings is brazil trigger a tornado in | + | Also, most of these definitions miss one area of math. ''Chaos Theory''. What is Chaos Theory? Chaos Theory is a recently discovered area of math where nothing can be predicted but nothing is random. We are only at the beginning of learning it. For example can a butterfly that flaps his wings is brazil trigger a tornado in Texas? |
Some definitions hit almost all the areas of math, but too far and logic fits into the definition. | Some definitions hit almost all the areas of math, but too far and logic fits into the definition. | ||
We can, however, define some areas of math but not the whole thing. For example, the definition of geometry is ''Geometry is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs''. Or the definition of probability is ''the extent to which an event is likely to occur''. | We can, however, define some areas of math but not the whole thing. For example, the definition of geometry is ''Geometry is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs''. Or the definition of probability is ''the extent to which an event is likely to occur''. | ||
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| + | == Arithmatic == | ||
Revision as of 10:34, 18 June 2019
What is the definition of Pure Mathematics?
Oh, easy you say it is just the study of numbers.
That may be true for some areas of math. However, what about geometry, trigonometry, and calculus? And what is the definition of numbers? Now you go to the dictionary and say The relationship between measurements and quantities using numbers and symbols. This is, however, not fully true because this definition also uses applied mathematics. We want pure mathematics.
Also, most of these definitions miss one area of math. Chaos Theory. What is Chaos Theory? Chaos Theory is a recently discovered area of math where nothing can be predicted but nothing is random. We are only at the beginning of learning it. For example can a butterfly that flaps his wings is brazil trigger a tornado in Texas?
Some definitions hit almost all the areas of math, but too far and logic fits into the definition.
We can, however, define some areas of math but not the whole thing. For example, the definition of geometry is Geometry is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs. Or the definition of probability is the extent to which an event is likely to occur.
