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Is the following statement, enclosed within quotation marks, true? If it is not, how can it most simply be changed so that it becomes true?

"Mathematics is discrete when its domain must be integers, and is continuous when its domain may be real or complex numbers. Mathematics is digital when its range must be integers, and is analog when its range may be real or complex numbers."

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This seems too vague to make a good MO question. Can you ask something more precise? (In any case, there are much more interesting domains and ranges in mathematics.) – Qiaochu Yuan May 6 2011 at 20:57
Is discrete mathematics equivalent to digital mathematics? Or is the term discrete mathematics specifically about mathematics for which input data (i.e., the domain) is limited to integers, whereas digital mathematics is specifically about mathematics for which output data (i.e., the range) is limited to integers? – Robert Paster May 10 2011 at 0:11

closed as not a real question by Qiaochu Yuan, Will Jagy, Zev Chonoles, Andreas Blass, Leonid Positselski May 6 2011 at 22:06

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