# Discrete and continuous: A fundamental dichotomy in mathematics

@article{Franklin2017DiscreteAC, title={Discrete and continuous: A fundamental dichotomy in mathematics}, author={James Franklin}, journal={Journal of humanistic mathematics}, year={2017}, volume={7}, pages={355-378} }

The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a…

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