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rationals are countable and thus not a good example here
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{{Wikipedia|Discrete mathematics}}< [[Subject:Mathematics|Mathematics]] {{subjects|mathematics}}
 
Books in this subject area deal with '''discrete mathematics''': the study of mathematical structures that are fundamentally discrete rather than continuous. Real numbers and rational numbers have the property that between any two numbers a third can be found, and consequently these numbers vary "smoothly". The objects generally studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis.
 
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