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Abstraction
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===In mathematics=== {{Main|Abstraction (mathematics)}} Abstraction in [[mathematics]] is the process of extracting the underlying structures, patterns or properties of a mathematical concept or object, removing any dependence on real-world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena. The advantages of abstraction in mathematics are: * It reveals deep connections between different areas of mathematics. * Known results in one area can suggest [[conjecture]]s in another related area. * Techniques and methods from one area can be applied to [[mathematical proof|prove]] results in other related area. *Patterns from one mathematical object can be generalized to other similar objects in the same class. The main disadvantage of abstraction is that highly abstract concepts are more difficult to learn, and might require a degree of [[mathematical maturity]] and experience before they can be assimilated.
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