My Math Forum An Anomaly of Decimal Representation

 Real Analysis Real Analysis Math Forum

 July 7th, 2018, 01:44 PM #61 Global Moderator   Joined: Dec 2006 Posts: 20,481 Thanks: 2041 Can you explain the "stones" method in detail, and how it would let you count 1, 2, 3, 4, ... (continued without end)? In your reference to counting n-place representations, you don't say what exactly are being represented by the n-place representations. Also, "through n approaches infinity" is unclear and possibly grammatically incorrect. You then state "as proved by induction", but you haven't provided such a proof, and it isn't clear what exactly needs to be proved.
 July 9th, 2018, 05:48 AM #62 Banned Camp   Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 125 $\displaystyle \lim_{n\rightarrow \infty} .33333 = .333333....... = 3\bar{n}$ $\displaystyle \lim_{n\rightarrow \infty} .33333 = 1/3$ The first limit is a representation limit (point). The second lim is a sum limit which gives the distance of the point from the origin. I can count ALL n-place binaries (or any radix), ie, for n through "infinity." There are two possibilities: You don't like what I mean or you don't understand what I mean. Last edited by zylo; July 9th, 2018 at 06:11 AM. Reason: (decimals
 July 9th, 2018, 07:11 AM #63 Global Moderator   Joined: Dec 2006 Posts: 20,481 Thanks: 2041 I don't understand what you mean. That's bound to be the case if you declare "I can", but don't describe your method unambiguously and in detail. Before you try to explain, please answer my questions in my preceding post, so that we can begin to understand what you mean by "count".
 July 9th, 2018, 07:30 AM #64 Banned Camp   Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 125 00 01 10 11 I have listed all two place binaries. How many are there in the list?
 July 9th, 2018, 08:11 AM #65 Global Moderator   Joined: Dec 2006 Posts: 20,481 Thanks: 2041 There are four, but I didn't use stones. Please answer my questions before posting new questions.
 July 9th, 2018, 08:23 AM #66 Banned Camp   Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 125 As you recall, I used stones as a question, not an answer. If you like, stones are a primitive analogy of the natural numbers. How many buckets of wheat will you give me for my donkey? I show four (4) stones. So you don't bury and distract the thread, I withdraw whatever I said. or you thought I said, about stones. Now how many entries are in the list of all 3-place decimals, and how did you get there from the list of all 2-place decimals? Last edited by skipjack; July 9th, 2018 at 09:33 AM.
July 9th, 2018, 09:44 AM   #67
Senior Member

Joined: Oct 2009

Posts: 772
Thanks: 279

Quote:
 Originally Posted by zylo As you recall, I used stones as a question, not an answer. If you like, stones are a primitive analogy of the natural numbers. How many buckets of wheat will you give me for my donkey? I show four (4) stones. So you don't bury and distract the thread, I withdraw whatever I said. or you thought I said, about stones. Now how many entries are in the list of all 3-place decimals, and how did you get there from the list of all 2-place decimals?
8, and I get it by duplicating the 2 place decimal list, and adding 0 to one list, and 1 to the other. What's the point?

 July 9th, 2018, 09:49 AM #68 Global Moderator   Joined: Dec 2006 Posts: 20,481 Thanks: 2041 As you've withdrawn your earlier mentions of sticks, stones, scratches on a rock, etc., my earlier question becomes: how would you count 1, 2, 3, 4, ... (continued without end) without a number system? Please answer that question (without using stones, scratches on a rock or the like, of course) before posting any new question.
July 9th, 2018, 09:54 AM   #69
Banned Camp

Joined: Mar 2015
From: New Jersey

Posts: 1,720
Thanks: 125

Quote:
 Originally Posted by Micrm@ss 8, and I get it by duplicating the 2 place decimal list, and adding 0 to one list, and 1 to the other. What's the point?
Induction as a means to specify and count all "infinite" place decimals (binaries, radixes). Points on a line.

July 9th, 2018, 09:57 AM   #70
Banned Camp

Joined: Mar 2015
From: New Jersey

Posts: 1,720
Thanks: 125

Quote:
 Originally Posted by skipjack As you've withdrawn your earlier mentions of sticks, stones, scratches on a rock, etc., my earlier question becomes: how would you count 1, 2, 3, 4, ... (continued without end) without a number system? Please answer that question (without using stones, scratches on a rock or the like, of course) before posting any new question.
1,2,3,4,.... are the count.

 Tags anomaly, decimal, representation

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post zylo Real Analysis 14 October 22nd, 2016 11:19 AM zylo Real Analysis 87 October 19th, 2016 08:55 PM mhhojati Linear Algebra 0 November 1st, 2015 11:37 PM John Creighton Number Theory 2 March 14th, 2011 10:03 AM demipaul Linear Algebra 2 November 19th, 2009 05:42 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top