Our server costs ~$56 per month to run. Please consider donating or becoming a Patron to help keep the site running. Help us gain new members by following us on Twitter and liking our page on Facebook!
Current time: May 13, 2025, 1:23 pm
Atheist Forums › Science › Mathematics v
Question for finitists -- 0.999... = 1?

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Thread Modes
Question for finitists -- 0.999... = 1?
polymath257 Offline
Member
***
Religious Views: Atheist
Posts: 2414
Threads: 5
Joined: January 3, 2018
Reputation: 22
#7
RE: Question for finitists -- 0.999... = 1?
November 26, 2022 at 5:17 pm (This post was last modified: November 26, 2022 at 5:18 pm by polymath257.)
(November 26, 2022 at 12:21 pm)LinuxGal Wrote: Define:

x = 0.999...

Multiply both sides by 10

10x = 9.999...

Isolate integer part

10x = 9 + 0.999...

By definition of x

10x = 9 + x

Subtract x from both sides

9x =9

Divide both sides by 9

x =  1

Step 1: Prove the expression .999.... makes sense.

Otherwise, you could argue as follows:

x=1+2+4+8+16+...

2x=2+4+8+16+32+...

Hence,

x=1+2x

so

-x=1

x=-1

In particular,

1+2+4+8+... <0.
Find
Reply


Atheist Forums › Science › Mathematics v
Question for finitists -- 0.999... = 1?

Messages In This Thread
Question for finitists -- 0.999... = 1? - by Jehanne - June 18, 2021 at 6:37 pm
RE: Question for finitists -- 0.999... = 1? - by Sal - June 19, 2021 at 5:45 am
RE: Question for finitists -- 0.999... = 1? - by Jackalope - November 26, 2022 at 7:35 pm
RE: Question for finitists -- 0.999... = 1? - by LinuxGal - November 26, 2022 at 12:21 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 5:17 pm
RE: Question for finitists -- 0.999... = 1? - by LinuxGal - November 26, 2022 at 5:54 pm
RE: Question for finitists -- 0.999... = 1? - by HappySkeptic - November 26, 2022 at 6:04 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 6:21 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 6:24 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 6:27 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 6:29 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 7:02 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 7:12 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 7:16 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:19 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 7:41 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 8:22 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 8:40 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:17 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:15 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:22 pm

Possibly Related Threads...
Thread Author Replies Views Last Post
  Mathematicians who are finitists. Jehanne 99 19057 July 11, 2019 at 1:53 pm
Last Post: A Toy Windmill
  Maths proves 1=0.999.. thus ends in self contradiction shakuntala 11 6987 December 21, 2014 at 3:57 pm
Last Post: Thumpalumpacus
  If 0.999(etc) = 1, does 1 - 0.999 go to zero? Euler 26 10704 April 30, 2013 at 12:17 pm
Last Post: Mister Agenda
  [split] 0.999... equals 1 Rhizomorph13 330 123232 February 20, 2013 at 6:47 am
Last Post: Categories+Sheaves
  If 0.999 (etc.) = 1, does 1 - 0.999 = 0? Child of Stardust 16 12325 March 6, 2012 at 2:12 pm
Last Post: Child of Stardust



Users browsing this thread: 1 Guest(s)