My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum


Thanks Tree4Thanks
  • 3 Post By JeffM1
  • 1 Post By Country Boy
Reply
 
LinkBack Thread Tools Display Modes
July 5th, 2018, 08:39 AM   #1
Newbie
 
Joined: Jun 2018
From: Groningen

Posts: 14
Thanks: 0

How does math deal with the history of numbers?

How does math deal with the history of numbers? Suppose you have 70 euros and lose 30 euro. While someone else has 10 euros and gains 30 euro. In math, this would state 70-30=10+30, and you are allowed to change this to 40=40. The both sides would be equal, but they are not equal, because they have a different history and probably will feel different with having 40 euro. So should you be allowed to change 70-30=10+30 to 40=40?

I know I make this example quite weird by adding some subjectivity into it. But I hope you get the drift. I am no mathematician, and I am not really sure whether I post this question in the right topic.

Last edited by skipjack; July 7th, 2018 at 11:35 PM.
justintimmer is offline  
 
July 5th, 2018, 11:39 AM   #2
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,881
Thanks: 1088

Math Focus: Elementary mathematics and beyond
You need another system; an accounting system for example. Two 2's make 4, regardless of where the 2's come from.

Last edited by greg1313; July 5th, 2018 at 11:42 AM.
greg1313 is offline  
July 5th, 2018, 11:44 AM   #3
Global Moderator
 
Joined: Dec 2006

Posts: 19,879
Thanks: 1835

Obviously, 70-30 and 10+30 are different expressions, but they have the same numerical value.
skipjack is offline  
July 5th, 2018, 12:09 PM   #4
Senior Member
 
Joined: Aug 2012

Posts: 2,081
Thanks: 595

https://en.wikipedia.org/wiki/Bookkeeping
Maschke is offline  
July 5th, 2018, 06:50 PM   #5
Senior Member
 
Joined: May 2016
From: USA

Posts: 1,192
Thanks: 489

Quote:
Originally Posted by justintimmer View Post
How does math deal with the history of numbers? Suppose you have 70 euro's and lose 30 euro. While someone else has 10 euro's and gains 30 euro. In math this would state; 70-30=10+30, and you are allowed to change this to 40=40. The both sides would be equal, but they are not equal, because they have a different history and probably will feel different with having 40 euro. So should you be allowed to change 70-30=10+30 to 40=40?

I know I make this example quite weird by adding some subjectivity into it. But I hope you get the drift. I am no mathematician, and I am not really sure whether I post this question in the right topic.
You need to study utility theory. If I have 100 million dollars and lose 1 million dollars, I have 99 million dollars, but the "utility" that I have lost may be minor. if I have nothing and win 99 million dollars, I have 99 million dollars, but the "utility" that I have gained may be immemse. In both cases, my final monetary situation is the same, but, psychologically, my reactions may be very different. "Utility" need not be (and empirically almost certainly is not) linear with respect to money.

This has nothing to do with math and all to do with human psychology.

EDIT: This is what marginalsm in economics is all about. A monetray gain of x and a monetary loss of x seldom have the same emotional and psychological weight.
Thanks from topsquark, Joppy and justintimmer

Last edited by JeffM1; July 5th, 2018 at 07:01 PM.
JeffM1 is offline  
July 7th, 2018, 05:17 PM   #6
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 3,261
Thanks: 894

Quote:
Originally Posted by justintimmer View Post
How does math deal with the history of numbers? Suppose you have 70 euro's and lose 30 euro. While someone else has 10 euro's and gains 30 euro. In math this would state; 70-30=10+30, and you are allowed to change this to 40=40. The both sides would be equal, but they are not equal, because they have a different history and probably will feel different with having 40 euro.
You seem to have difficulty with the definition of "=". When you say "they are not equal, because ..." you are using a different, non-mathematical meaning of "equal".

Quote:
So should you be allowed to change 70-30=10+30 to 40=40?

I know I make this example quite weird by adding some subjectivity into it. But I hope you get the drift. I am no mathematician, and I am not really sure whether I post this question in the right topic.
Thanks from justintimmer
Country Boy is offline  
Reply

  My Math Forum > College Math Forum > Number Theory

Tags
deal, history, math, numbers



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
What's the deal about complex numbers? Tau Math 14 April 21st, 2015 08:12 PM
Deal Or No Deal- How Many Permutations/Combinations? EvanJ Advanced Statistics 0 August 21st, 2014 04:59 PM
the history behind complex numbers spellbinder Complex Analysis 2 November 23rd, 2010 07:25 PM
Deal or no Deal winning strategy GoldMember Advanced Statistics 3 April 5th, 2010 06:59 PM





Copyright © 2018 My Math Forum. All rights reserved.