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What do Algebra and Calculus mean?

Where are the numbers? derivatives? integrals? limits? If I understand it correctly, lambda calculus is all about symbols. There are no numbers or operators like addition or multiplications except in a very abstract way like Church encoding and alike. The way I see it, it has nothing to do with what we called calculus in high school or university. Insights?

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    possible duplicate of [What do Algebra and Calculus mean?](http://math.stackexchange.com/questions/5476$3$/what-do-algebra-and-calculus-mean) or [What does “calculus” mean in the most general sense?](http://math.stackexchange.com/questions/185559/what-does-calculus-mean-in-the-most-general-sense) or [what is meant if someone writes “calculus of ..”?](http://math.stackexchange.com/questions/127$0$78/terminology-what-is-meant-if-someone-writes-calculus-of)2012-10-20

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Calculus is here what would be called Kalkül in German or calcul in French, coming from latin calculus "stone (used for computation)" and denotes a formal system of rules. Thus lambda calculus is not the same as calculus in the sense of differential and integral calculus (which e.g. in German is called Differential- und Integralrechnung, not Differential- und Integralkalkül)