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Author Topic:   0.99999~ = 1 ?
bluescat48
Member (Idle past 4211 days)
Posts: 2347
From: United States
Joined: 10-06-2007


Message 19 of 237 (543177)
01-15-2010 9:32 PM
Reply to: Message 18 by Son Goku
01-15-2010 8:35 PM


Re: Funny Properties
However pi = 3.1415....., cannot be written as a fraction and so has an infinite number of digits in any base. These are known as irrational numbers
Finally and strangest of all, irrational numbers are more common than rational numbers.
One more thing, there are 2 types of irrational numbers:
Algebraic such as the square root of 2 which can be found by simple algebra or can be formed by a compass and straight edge.
Trancendental numbers such as pi & e(base of the natural logarithms) which can't.
As for more irrationals, this is logical since any rational number can be multiplied by pi or e or both, or by 1/pi, 1/e, pi x e, pi/e, e/pi, or 1/(pi x e), not to mention such things as pi**n, e**n or their reciprocals.
Edited by bluescat48, : typooos

There is no better love between 2 people than mutual respect for each other WT Young, 2002
Who gave anyone the authority to call me an authority on anything. WT Young, 1969
Since Evolution is only ~90% correct it should be thrown out and replaced by Creation which has even a lower % of correctness. W T Young, 2008

This message is a reply to:
 Message 18 by Son Goku, posted 01-15-2010 8:35 PM Son Goku has replied

Replies to this message:
 Message 20 by Son Goku, posted 01-15-2010 9:54 PM bluescat48 has not replied

  
bluescat48
Member (Idle past 4211 days)
Posts: 2347
From: United States
Joined: 10-06-2007


Message 54 of 237 (543406)
01-17-2010 7:33 PM
Reply to: Message 47 by Straggler
01-17-2010 4:13 PM


Re: Infinity
But does that mean that infinity squared is the same as infinity to the power of 10? For example.
One of the problems with the term infinity is that, infinity is not a number and the basic math functions don't work in the same way as with a finite number.
For example there is an infinite set of numbers called integers.
There is another infinite set called rational numbers, all integers are contained in the set of rational numbers. Both sets are infinite so if one subtracted the integers from the rational numbers there would still be an infinite set of numbers left. The infinite set of integers added to the infinite set of algebraic irrational numbers & the infinite set of transcendental numbers gives another infinite set, the real numbers. This infinite set when added to the set of imaginary numbers (all real numbers multiplied by i (the square root of -1) gives part of the infinite set of complex numbers (numbers written in the form a + bi where a and b are real and i is the square root of -1
Edited by bluescat48, : missing line + typos

There is no better love between 2 people than mutual respect for each other WT Young, 2002
Who gave anyone the authority to call me an authority on anything. WT Young, 1969
Since Evolution is only ~90% correct it should be thrown out and replaced by Creation which has even a lower % of correctness. W T Young, 2008

This message is a reply to:
 Message 47 by Straggler, posted 01-17-2010 4:13 PM Straggler has not replied

  
bluescat48
Member (Idle past 4211 days)
Posts: 2347
From: United States
Joined: 10-06-2007


Message 86 of 237 (544107)
01-23-2010 7:04 PM
Reply to: Message 84 by Apothecus
01-23-2010 6:03 PM


Re: 0 and Infinitesimally Small - Something and Nothing
Sorry if this is super obtuse to some of you. I have no wish to waste anyone's time but logically it perplexes me as much as Zeno does. So any number which is represented with an infinite string of trailing nines is equal to the next number, correct? e.g. 3.11239999999..... is equal to 3.11234? 54,433.22223342999999.... is equal to 54,433.22223343? And so on and so on and so on, forever and ever?
Is this right?
Yes as would the quantity 999.99999.... would equal 1000.00000....
the same can be seen in the point that 1/7 + 6/7 = 7/7 = 1. Decimally .(142857).... + (857142).... yields .999999....
This works for any repeating decimal where 1/n + (n-1)/n = n/n
whereas the decimal equivalent of 1/n being a repeating decimal that repeats any group of numbers ie .142857 it's additive inverse when added to the number gives repeating 9's. since 1/7 + its additive inverse, 6/7 = 1 and its decimal equivalent being .(142857).... added to its additive inverse .(857142).... = .999999....
therefore .999999.... = 1
Edited by bluescat48, : = where + should have been

There is no better love between 2 people than mutual respect for each other WT Young, 2002
Who gave anyone the authority to call me an authority on anything. WT Young, 1969
Since Evolution is only ~90% correct it should be thrown out and replaced by Creation which has even a lower % of correctness. W T Young, 2008

This message is a reply to:
 Message 84 by Apothecus, posted 01-23-2010 6:03 PM Apothecus has not replied

  
bluescat48
Member (Idle past 4211 days)
Posts: 2347
From: United States
Joined: 10-06-2007


Message 181 of 237 (544534)
01-26-2010 11:37 PM
Reply to: Message 180 by Jon
01-26-2010 11:05 PM


Re: Totally right!
Care to explain?
no matter how many nines you put you can still put another. Infinity is not a number. infinity is simply continuing without end. One can say there are are an infinite number of numbers between 0 and 1, since all numbers greater than 1 have a reciprocal that is between 0 and 1.

There is no better love between 2 people than mutual respect for each other WT Young, 2002
Who gave anyone the authority to call me an authority on anything. WT Young, 1969
Since Evolution is only ~90% correct it should be thrown out and replaced by Creation which has even a lower % of correctness. W T Young, 2008

This message is a reply to:
 Message 180 by Jon, posted 01-26-2010 11:05 PM Jon has not replied

  
bluescat48
Member (Idle past 4211 days)
Posts: 2347
From: United States
Joined: 10-06-2007


Message 219 of 237 (545523)
02-04-2010 3:16 AM
Reply to: Message 214 by Jon
02-03-2010 11:52 PM


Re: Symbols are Things Too...
Huntard in in post 1 writes:
It is my understanding that 0.9999~ does indeed equal 1.
(emphasis = mine)
Jon writes:
In fact, were 0.9999| and 1 themselves identical, this thread would not exist, because no one would have ever questioned whether they stood for the same thing within the same Symbology.
Where in the OP does it mention Symbology? What the question was does .9999~ = 1 which it does.
Edited by bluescat48, : missing [/qs]

There is no better love between 2 people than mutual respect for each other WT Young, 2002
Who gave anyone the authority to call me an authority on anything. WT Young, 1969
Since Evolution is only ~90% correct it should be thrown out and replaced by Creation which has even a lower % of correctness. W T Young, 2008

This message is a reply to:
 Message 214 by Jon, posted 02-03-2010 11:52 PM Jon has not replied

  
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