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tgt
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I use to think that algebra was very fundamental but it now seems not the case. The study of functions (in general) and sets would be more fundamental. Just an observation. What do you people think?
The moment you start to do that -- you could get right back to algebra. e.g. categories.tgt said:The study of functions (in general) and sets would be more fundamental.
Hurkyl said:The moment you start to do that -- you could get right back to algebra. e.g. categories.
"Fundamental" is such an incredibly vague term, though...
"Algebra Not So Fundamental" is a phrase used to describe a branch of mathematics that focuses on the study of functions and sets rather than traditional algebraic concepts such as equations and variables.
The study of functions and sets is considered more important because it provides a foundation for other branches of mathematics, such as calculus and statistics. It also has practical applications in fields such as computer science and economics.
Some key concepts in "Algebra Not So Fundamental" include functions, relations, sets, and mappings. These concepts are used to describe and analyze the behavior of mathematical systems and their elements.
"Algebra Not So Fundamental" differs from traditional algebra in that it focuses on the properties and relationships of sets and functions, rather than manipulating equations and variables. It also has a more abstract and theoretical approach, rather than a practical one.
Like any branch of mathematics, "Algebra Not So Fundamental" can be challenging to learn. However, with a solid understanding of fundamental algebraic concepts and a willingness to think abstractly, it can be an interesting and rewarding subject to study.