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17 Nov 2002: Nevertheless, many people left the lecture dissatisfied, so let me try to say a bit more about mathematical implication and why the standard convention about "silly" sentences such as the example ... Well, we obviously can't. Why do some people not feel

9 Aug 2002: I don't quite mean a method for solving them - after all, people make careers out of research in analysis - but rather, a method for stripping away the layers of quantifiers ... However, I hope that it may help to speed up the process for some people,

20 May 2002: Unfortunately, it came to be taught in so pedestrian a way that people thought it wasabout memorising peculiar constructions rather than using pictures to guide mathematical thoughts.So it fell into

29 Jan 2002: What is solved' when one solves an equation? Most people's first exposure to algebra is through simple equations like x3=7.

25 Nov 2002: Most people would probably say that 395x428 and 428x395 both count the number of points in a 395-by-428 rectangular grid. ... Multiplication of negative numbers is not something we understand directly - we do not ask how many apples there are if -2

12 Sep 2002: understanding theories. This difference of attitude has been remarked on by many people,. ... many people are attracted to what I have called theory-building subjects because they.

10 Sep 2002: Why do people say that infinity plus one equals infinity? Presumably because if X is an infinite set, y is not in X and Y=X union {y}, then Y can

12 Sep 2002: The greed. causes people to strive to become wealthy, and this benefits the entire economy in many. ... provide livelihoods for many people. The individuals need have absolutely no interest in.