Notions of generalization and abstraction come quite a bit in this class (which

Question

Notions of generalization and abstraction come quite a bit in this class (which even abstract in its title). Mathematicians up when attack- ing are forever trying to hone on advantageous hose problems. Computer scientists are absolutely doing their of the same thing. What's the distinction between generalization and abstraction? Feel free, in your answer, to give some illustrations of your thoughts in terms of group theory or programming constructs/paradigms or whatever in other words, you don't have to hone in on the "correct" level of abstraction/generalization when answering this question. Also, chat with Simmons outside or during class if you want to brainstorm this question.

Explanation / Answer

Abstraction and generalization are fundamental in mathematics. The simplest distinction between abstraction and generalization is that abstract structures are developed to find a solution to real life problems in a mathematical way. Abstraction is process in mathematics where the mathematical topics exhibits a progression from the concrete to the abstract and the abstracts are generalized using various parameters to suit our needs and obtain the solutions of the problems considered. Abstraction and generalization are often used together in mathematics.

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