On the web, there are pages on counterexamples in functional analysis, Clifford algebras, and mathematical programming. |
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I suppose there must be plenty of counterexamples to such a sweeping statement, but none occur to me offhand. |
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They give reasons, they use syllogisms, they argue by suggesting counterexamples, they engage in all the hallmarks of reasoned argument. |
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And more counterexamples are coming in over the transom all the time. |
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As formulated, the account would appear to admit of counterexamples. |
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It explains what natural selection is and what the consequences of a strict constructionist view would be, and it introduces that there are many counterexamples. |
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For example, using earlier mental patterns, we select or highlight confirming examples, and discount or peripheralize counterexamples. |
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In Proofs and Refutations, Lakatos gave several basic rules for finding proofs and counterexamples to conjectures. |
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That is, it is necessary to check whether a run is Zeno so as to avoid presenting Zeno runs as counterexamples. |
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For every instance of the theory translating into a rewarding bet, there could be many counterexamples. |
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The inadequacy of the correlation coefficient is illustrated with two counterexamples. |
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The discussion in these chapters presents a superb treatise on the use of examples and counterexamples to support points of view. |
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I believe that the various attempts to spell this out are subject to disastrous counterexamples. |
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Counterexamples are available from the late middle ages themselves which might offer more fruitful points of comparison. |
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