Tag Archives: John Conway

Definitions, 2

Anyone who has lectured on the construction of the number systems has faced a problem with definition. For the most obvious example, do you define real numbers as Dedekind cuts, or as Cauchy sequences, or more simple-mindedly as infinite decimals, … Continue reading

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Fibonacci numbers, 6

In part 2 of this series, I explained that it was inspired by a conversation with John Conway in Fine Hall, Princeton, in 1996. I’d like to finish off with the second part of that conversation. I understand that some … Continue reading

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Fibonacci numbers, 2

I am going to tell you some surprising facts about Fibonacci numbers. These were first explained to me by John Conway in an alcove in Fine Hall in Princeton in 1996. I believe that Clark Kimberling also had a hand … Continue reading

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Conway’s Nim field

Last Monday, John Conway visited us. (He has two mathematical children and one grandchild on the permanent staff in the department.) He gave a seminar to what may have been the largest audience ever for a Pure Mathematics seminar. He … Continue reading

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