tag:blogger.com,1999:blog-264226589944705290.post2213789243540569766..comments2023-11-05T03:45:25.001-08:00Comments on God Plays Dice: Open and closed?Michael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-264226589944705290.post-60288166204645907002008-03-29T12:28:00.000-07:002008-03-29T12:28:00.000-07:00In re "clopen", it's a portmanteau. Along with "s...In re "clopen", it's a portmanteau. Along with "slithy", "mimsy", and "frumious", they pack two meanings into one word.<BR/><BR/>Those are just made-up words, you say? Well how about we discuss it over brunch? We could also discuss the architecture in Oxbridge. Whatever we come up with, we'll have to post on a blog.<BR/><BR/>To form a portmanteau is a perfectly cromulent construction.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-68960539360757544072008-03-29T08:34:00.000-07:002008-03-29T08:34:00.000-07:00I only found one google hit for ensemble fouvert, ...I only found <A HREF="http://www.math.ucl.ac.be/membres/depauw/compact-approx.pdf" REL="nofollow">one google hit for <I>ensemble fouvert</I></A>, compared to 44,700 for <I>ensemble ouvert</I>. There are 6,360 for <I>clopen set</I> and 1.4 million for <I>open set</I>, a 220 to 1 ratio. Clearly French-speakers haven't made the analogous coinage in their language.Michael Lugohttps://www.blogger.com/profile/15671307315028242949noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-65389315306648969222008-03-29T08:29:00.000-07:002008-03-29T08:29:00.000-07:00And of course only mathematicians would encourage ...And of course only mathematicians would encourage such a butchering of the English language as "clopen".Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-7982116332865039692008-03-29T07:51:00.000-07:002008-03-29T07:51:00.000-07:00As a side-note, If you don't keep an open mind you...As a side-note, If you don't keep an open mind you are actually not being "closed-minded". You're being "close minded". Why? Because "close" is the opposite of "broad".Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-1137580771581495752008-03-29T07:35:00.000-07:002008-03-29T07:35:00.000-07:00Jonathan,yes. That's the first of the axioms for ...Jonathan,<BR/><BR/>yes. That's the first of the axioms for a topology.Michael Lugohttps://www.blogger.com/profile/15671307315028242949noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-57608802703233423012008-03-29T07:34:00.000-07:002008-03-29T07:34:00.000-07:00Question about open and closed sets (opened and cl...Question about open and closed sets (opened and closed sets? ha ha)<BR/><BR/>Is the empty set open? And its complement also open?<BR/><BR/>JonathanAnonymousnoreply@blogger.com