<html><head></head><body><div dir="auto">Have you tried comparing the results in chat GPT 3.5 to what the chat GPT 4.0 results are?<br><br>Bing chat is 4.0 so you can enter the same query there and compare the two results.<br><br>There's even a Bing chat mobile app that works really well.<br><br></div><div dir="auto"><div class='k9mail-signature'>-- <br>Drew King<br><br></div></div><br><br><div class="gmail_quote"><div dir="auto">On November 19, 2023 4:11:28 PM EST, Peter Albin via LCTG <lctg@lists.toku.us> wrote:</div><blockquote class="gmail_quote" style="margin: 0pt 0pt 0pt 0.8ex; border-left: 1px solid rgb(204, 204, 204); padding-left: 1ex;">
<pre class="k9mail"><div dir="auto">Ok, I too went to Wikipedia and my eyes glazed over. Hence my question to the group.<br><br>Chat’s response is clearer, but begs the question: is this an academic exercise or is there a practical use?<br>Also, so D(9) is a large number; what does that mean? Is this akin to finding the largest prime number?<br><br>Peter<br><br></div><blockquote class="gmail_quote" style="margin: 0pt 0pt 1ex 0.8ex; border-left: 1px solid #729fcf; padding-left: 1ex;"><div dir="auto">On Nov 19, 2023, at 11:47 AM, Larry Wittig <9423lew@gmail.com> wrote:<br><br>This is interesting. Chat gave a much more useful answer than the one<br>I sent out from Wikipedia. Chat has trouble with doing math -- it<br>stumbled on a two unknowns algebra problem I gave it a while back.<br>But gave what appears to be a very good answer about a mathematical<br>concept.<br><br></div><blockquote class="gmail_quote" style="margin: 0pt 0pt 1ex 0.8ex; border-left: 1px solid #ad7fa8; padding-left: 1ex;"><div dir="auto">On Sat, Nov 18, 2023 at 10:56 PM John Rudy via LCTG <lctg@lists.toku.us> wrote:<br><br>I went to ChatGPT:<hr>explain Dedekind Number in simple words<br>ChatGPT<br>A Dedekind number is a way to count how "big" a certain set is, specifically<br>in the realm of mathematics. Named after the German mathematician Richard<br>Dedekind, these numbers are used to measure the size or cardinality of<br>infinite sets.<br><br>Here's a simple way to understand it:<br><br>Imagine you have an infinite set of objects, like all the natural numbers<br>(1, 2, 3, and so on). Now, think about dividing this set into two parts in a<br>specific way: one part contains only the odd numbers, and the other part<br>contains the even numbers. Surprisingly, even though both sets are infinite,<br>they have the same size! In mathematical terms, we say that the set of<br>natural numbers can be "bijected" or paired up with the set of even numbers.<br><br>The Dedekind number comes into play when we want to compare the sizes of<br>different infinite sets. Each Dedekind number corresponds to a specific way<br>of dividing an infinite set into two parts. If two sets can be paired up in<br>such a way that no elements are left out, and no elements are repeated, then<br>they are considered to have the same size, or cardinality, and share the<br>same Dedekind number.<br><br>In essence, Dedekind numbers help mathematicians talk about the sizes of<br>infinite sets and understand the different ways in which these sets can be<br>compared or related.<br><br><br><br><br><br><br>-----Original Message-----<br>From: LCTG <lctg-bounces+jjrudy1=comcast.net@lists.toku.us> On Behalf Of<br>Peter Albin via LCTG<br>Sent: Saturday, November 18, 2023 9:31 PM<br>To: Lex Computer Group <lctg@lists.toku.us><br>Subject: [Lex Computer & Tech Group/LCTG] Mathematicians Have Found The<br>Ninth Dedekind Number, After 32 Years of Searching<br><br><br><a href="https://www.sciencealert.com/mathematicians-have-found-the-ninth-dedekind-nu">https://www.sciencealert.com/mathematicians-have-found-the-ninth-dedekind-nu</a><br>mber-after-32-years-of-searching<br><br>Now, can someone explain what a Dedekind Number is in English? Is it worth a<br>session?<br><br>Peter<hr>::The Lexington Computer and Technology Group Mailing List::<br>Reply goes to sender only; Reply All to send to list.<br>Send to the list: LCTG@lists.toku.us Message archives:<br><a href="http://lists.toku.us/pipermail/lctg-toku.us/">http://lists.toku.us/pipermail/lctg-toku.us/</a><br>To subscribe: email lctg-subscribe@toku.us To unsubscribe: email<br>lctg-unsubscribe@toku.us Future and Past meeting information:<br><a href="http://LCTG.toku.us">http://LCTG.toku.us</a> List information:<br><a href="http://lists.toku.us/listinfo.cgi/lctg-toku.us">http://lists.toku.us/listinfo.cgi/lctg-toku.us</a><br>This message was sent to jjrudy1@comcast.net.<br>Set your list options:<br><a href="http://lists.toku.us/options.cgi/lctg-toku.us/jjrudy1@comcast.net">http://lists.toku.us/options.cgi/lctg-toku.us/jjrudy1@comcast.net</a><hr>::The Lexington Computer and Technology Group Mailing List::<br>Reply goes to sender only; Reply All to send to list.<br>Send to the list: LCTG@lists.toku.us Message archives: <a href="http://lists.toku.us/pipermail/lctg-toku.us/">http://lists.toku.us/pipermail/lctg-toku.us/</a><br>To subscribe: email lctg-subscribe@toku.us To unsubscribe: email lctg-unsubscribe@toku.us<br>Future and Past meeting information: <a href="http://LCTG.toku.us">http://LCTG.toku.us</a><br>List information: <a href="http://lists.toku.us/listinfo.cgi/lctg-toku.us">http://lists.toku.us/listinfo.cgi/lctg-toku.us</a><br>This message was sent to 9423lew@gmail.com.<br>Set your list options: <a href="http://lists.toku.us/options.cgi/lctg-toku.us/9423lew@gmail.com">http://lists.toku.us/options.cgi/lctg-toku.us/9423lew@gmail.com</a><br></div></blockquote></blockquote><div dir="auto"><hr>::The Lexington Computer and Technology Group Mailing List::<br>Reply goes to sender only; Reply All to send to list.<br>Send to the list: LCTG@lists.toku.us Message archives: <a href="http://lists.toku.us/pipermail/lctg-toku.us/">http://lists.toku.us/pipermail/lctg-toku.us/</a><br>To subscribe: email lctg-subscribe@toku.us To unsubscribe: email lctg-unsubscribe@toku.us<br>Future and Past meeting information: <a href="http://LCTG.toku.us">http://LCTG.toku.us</a><br>List information: <a href="http://lists.toku.us/listinfo.cgi/lctg-toku.us">http://lists.toku.us/listinfo.cgi/lctg-toku.us</a><br>This message was sent to dking65@kingconsulting.us.<br>Set your list options: <a href="http://lists.toku.us/options.cgi/lctg-toku.us/dking65@kingconsulting.us">http://lists.toku.us/options.cgi/lctg-toku.us/dking65@kingconsulting.us</a><br></div></pre></blockquote></div></body></html>