Evolution of mathematical proof

Foundations of Science 2 (1):77-85 (1997)
The authors present the main ideas of the computer-assisted proof of Mischaikow and Mrozek that chaos is really present in the Lorenz equations. Methodological consequences of this proof are examined. It is shown that numerical calculations can constitute an essential part of mathematical proof not only in the discrete mathematics but also in the mathematics of continua.
Keywords Computer-assisted proofs  Chaos  Lorenz equations  Round-off errors  Interval arithmetic
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DOI 10.1023/A:1009683412188
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