Q.E.D.
in [Logic]
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From: |-|ercules on 7 Jul 2010 01:10 <porky_pig_jr(a)my-deja.com> wrote ... > Reading Stark, Number Theory. The first time he used Q.E.D., there's a > footnote: "In English: Quite Easy Done". :-) I was just checking sci.math subjects to see if there was a reaction to my breakthrough infinity proof! C10 = 0.12345678910111213141516... 1/ there's no infinite sequence of pi's digits within C10 (every finite starting point has a finite ending point) 2/ as the length of C10 digit expansion -> oo, the consecutive number of digits of pi -> oo 3/ the length of C10 digit expansion is oo 4/ the consecutive number of digits of pi = oo (3) -> (2) CONTRADICTION (1) & (4) THEREFORE no limit exists as the length of digit expansions (of any real) -> oo GENERALIZATION no limit exists as the length of sequences (of any type) -> oo INFERENCE there is no oo Herc
From: Marshall on 7 Jul 2010 09:56 On Jul 6, 10:10 pm, "|-|ercules" <radgray...(a)yahoo.com> wrote: > <porky_pig...(a)my-deja.com> wrote ... > > > Reading Stark, Number Theory. The first time he used Q.E.D., there's a > > footnote: "In English: Quite Easy Done". :-) > > I was just checking sci.math subjects to see if there was a reaction to my breakthrough infinity proof! http://www.soundboard.com/sb/laugh_track.aspx
From: George Greene on 7 Jul 2010 12:12 On Jul 7, 1:10 am, "|-|ercules" <radgray...(a)yahoo.com> wrote: > C10 = 0.12345678910111213141516... > > 1/ there's no infinite sequence of pi's digits within C10 (every finite starting point has a finite ending point) That happens to be true, but I don't see how YOU could prove it, since they are both computable. > 2/ as the length of C10 digit expansion -> oo, STOP!!!!!!!!!!!!!!!!!!! WHY DO YOU KEEP doing this?!?!?!?!? The digit-expansion of C10 DOES NOT approach infinity! The digit-expansion of C10 *is* infinite!!! ALL the time! IT IS A CONSTANT! What approaches infnity has to be SOME ARGUMENT- OR INDEX- VARIABLE that YOU NAME!! It is NOT the constant ITSELF that does the approaching! What you REALLY mean is, as *h* approaches infinity, where h is THE FINITE index of (the right end of) THE FINITE PREFIX of C10 that you are currently considering! THAT is what CAN increase! THAT is a VARIABLE! C10 is a CONSTANT!!! LEARN THE DIFFERENCE!!! > the consecutive number of digits of pi -> oo That is true, but the far more fascinating question would be the converse: How far out in Pi do you have to go to find prefixes of C10? What is the longest prefix of C10 that occurs in Pi? > 3/ the length of C10 digit expansion is oo Yes it is, but this has NO CONNECTION WHATSOEVER TO (2) because "as the length of C10 digit expansion --> oo" DOES NOT HAPPEN. It CANNOT happen. And Pi itself does NOT occur in C10 -- if it did, THEY WOULD MATCH, ALL THE WAY OUT, beyond some point. That (obviously) DOES NOT FOLLOW for Pi, since, if it did, it would, BY THIS SAME REASONING, ALSO FOLLOW FOR EVERY OTHER real!! And every rational. In particular, it also follows for both 1/3 (. 3333333...) AND 2/3 (.66666...), yet you canNOT match BOTH of them all the way out! > 4/ the consecutive number of digits of pi = oo (3) -> (2) This is NOT a sound inference, NOT EVEN if you had phrased it right. The fact that something holds for all the members of an infinite set DOES NOT imply that it ALSO holds for THE SET as ONE individual INFinite entity! Even ASKING the question about the collected set may be UNGRAMMATICAL since the set, BEING INFINITE, may not even be THE SAME KIND of thing as ITS ELEMENTS, ALL of which ARE FINITE!
From: |-|ercules on 7 Jul 2010 15:11 "Marshall" <marshall.spight(a)gmail.com> wrote > On Jul 6, 10:10 pm, "|-|ercules" <radgray...(a)yahoo.com> wrote: >> <porky_pig...(a)my-deja.com> wrote ... >> >> > Reading Stark, Number Theory. The first time he used Q.E.D., there's a >> > footnote: "In English: Quite Easy Done". :-) >> >> I was just checking sci.math subjects to see if there was a reaction to my breakthrough infinity proof! > > http://www.soundboard.com/sb/laugh_track.aspx At which step are you lost? C10 = 0.12345678910111213141516... 1/ there's no infinite sequence of pi's digits within C10 (every finite starting point has a finite ending point) 2/ as the length of C10 digit expansion -> oo, the consecutive number of digits of pi -> oo 3/ the length of C10 digit expansion is oo 4/ the consecutive number of digits of pi = oo (3) -> (2) 5/ CONTRADICTION (1) & (4) 6/ THEREFORE no limit exists as the length of digit expansions (of any real) -> oo 7/ GENERALIZATION no limit exists as the length of sequences (of any type) -> oo 8/ INFERENCE there is no oo Quite Easily Done! Herc
From: Sylvia Else on 7 Jul 2010 20:28 On 8/07/2010 5:11 AM, |-|ercules wrote: > "Marshall" <marshall.spight(a)gmail.com> wrote >> On Jul 6, 10:10 pm, "|-|ercules" <radgray...(a)yahoo.com> wrote: >>> <porky_pig...(a)my-deja.com> wrote ... >>> >>> > Reading Stark, Number Theory. The first time he used Q.E.D., there's a >>> > footnote: "In English: Quite Easy Done". :-) >>> >>> I was just checking sci.math subjects to see if there was a reaction >>> to my breakthrough infinity proof! >> >> http://www.soundboard.com/sb/laugh_track.aspx > > At which step are you lost? > > > C10 = 0.12345678910111213141516... > > 1/ there's no infinite sequence of pi's digits within C10 (every finite > starting point has a finite ending point) > 2/ as the length of C10 digit expansion -> oo, the consecutive number of > digits of pi -> oo > 3/ the length of C10 digit expansion is oo > 4/ the consecutive number of digits of pi = oo (3) -> (2) > 5/ CONTRADICTION (1) & (4) > 6/ THEREFORE no limit exists as the length of digit expansions (of any > real) -> oo > 7/ GENERALIZATION no limit exists as the length of sequences (of any > type) -> oo > 8/ INFERENCE there is no oo > > Quite Easily Done! > > Herc > You go from the situation where something tends to infinity to the situation where something equals infinity, without any justification. Sylvia.
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