SCI.MATH POLL - uncountable infinity
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From: dannas on 3 Jun 2010 00:34 "|-|ercules" <radgray123(a)yahoo.com> wrote in message news:86od4nFja0U1(a)mid.individual.net... > The powerset proof is exactly this: > > Assume a large/infinite room full of boxes with fridge magnets in the > boxes that are any natural number, and the boxes have a unique > number written on them. > > "Which box contains the numbers of all the boxes that don't contain their > own number ?" how can I point to a single box, out of an infinity of boxes in an imaginary problem ? you need to reword; Is there a box that contains the numbers of all the boxes that don't contain their own number ?" <snip junk>
From: Virgil on 3 Jun 2010 01:40 In article <hu7dsu$cg4$1(a)news.albasani.net>, "dannas" <invalid(a)invalid.com> wrote: > how can I point to a single box, out of an infinity of boxes in an imaginary > problem ? Use your imaginary hand!
From: George Greene on 3 Jun 2010 01:47 On Jun 3, 12:34 am, "dannas" <inva...(a)invalid.com> wrote: > how can I point to a single box, out of an infinity of boxes in an imaginary > problem ? With its NUMBER, THAT's how. Every box has a natural number on it, as a label. No two boxes have the same number and every natural number is on some box. Actually, you could just dispense with the numbers altogether simply by setting up the boxes in 1 straight line and COUNTING.
From: |-|ercules on 3 Jun 2010 02:29 "George Greene" <greeneg(a)email.unc.edu> wrote ... > On Jun 3, 12:34 am, "dannas" <inva...(a)invalid.com> wrote: >> how can I point to a single box, out of an infinity of boxes in an imaginary >> problem ? > > With its NUMBER, THAT's how. > Every box has a natural number on it, as a label. > No two boxes have the same number and every natural number is on some > box. > Actually, you could just dispense with the numbers altogether simply > by setting > up the boxes in 1 straight line and COUNTING. Thanks George. Care to answer: 1/ is there a box that contains the numbers of all the boxes that don't contain their own number? and 2/ Can the result of 1/ be used to prove the existence of higher infinities? Everyone here is chatting about how smart they are and how my theories are all junk, but no one is answering any of my questions. I'll bet $100 someone replies to the last paragraph while ignoring the 2 questions! Herc
From: dannas on 3 Jun 2010 10:50
"George Greene" <greeneg(a)email.unc.edu> wrote in message news:c969f9f0-71ce-4b79-8669-37c610773bd6(a)r27g2000yqb.googlegroups.com... On Jun 3, 12:34 am, "dannas" <inva...(a)invalid.com> wrote: > how can I point to a single box, out of an infinity of boxes in an > imaginary > problem ? >With its NUMBER, THAT's how. >Every box has a natural number on it, as a label. >No two boxes have the same number and every natural number is on some >box. >Actually, you could just dispense with the numbers altogether simply >by setting >up the boxes in 1 straight line and COUNTING. those are just assumptions that you have made, which change the problem. the OP did NOT say natural numbers were written on them, and he did NOT say that the number inside the box was Unique. |