[FOM] Gauss and non-Euclidean geometry
Alasdair Urquhart
urquhart at cs.toronto.edu
Thu Oct 25 10:00:38 EDT 2007
Since it seems to have been lost sight of in the ensuing
discussion, I would like to explain what I meant by
Gauss's "dog-in-the-manger attitude" to the results
of Janos Bolyai. I was simply referring to his apparently
grudging and ungenerous reactions to the ideas and
results of other mathematicians in the area. Here is a quote
from W.K. Buhler:
From 1815 on, Gauss's attitude throughout the discussion
appears strangely rigid and indifferent; he seems to
confine himself to variations on the theme that everything
which others sent him had long been known to him. Janos
Bolyai was particularly hurt when Gauss wrote to his father
that he had been familiar with Janos's results for the
last 30-50 years, a statement which was misleading if not
false. It was in this context (letter to Bolyai of
March 6, 1832) that Gauss used the ominous phrase that
he must not praise Janos's work for "to praise it, would
mean to praise himself."
Gauss, A Biographical Study, p. 102.
Alasdair Urquhart
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