I once overheard a professor say that if you use all of axioms of mathematics in a particular order, with no mathematical errors in any way, the final answer is: 1 > 0. Is there a name for this idea/concept?
2007-07-20 07:29:25 · 10 answers · asked by Aquaboy 6 in Science & Mathematics ➔ Mathematics
Sorry...I'm kind of tired! I meant:
Is 0 > 1?
That's supposed to be the actual question!
Many apologies! No...I'm not mentally ill!
2007-07-20 07:36:30 · update #1
So if you use all of axioms of mathematics in a particular order, with no mathematical errors in any way, the final answer is: 0 > 1 (or so I've heard). Is there a name for this idea/concept?
2007-07-20 07:41:33 · update #2
I did a search for it on Wikipedia. I couldn't find the name, but I did stumble along the process. Here's what it gave me:
Let us first suppose that
0 < x < 1
Now we will take the logarithm of both sides. As long as x > 0, we can do this because logarithms are monotonically increasing. Observing that the logarithm of 1 is 0, we get
ln(x) < 0
Dividing by ln (x) gives
1 < 0
Q.E.D.
The violation is found in the last step, the division. This step is invalid because ln(x) is negative for 0 < x < 1. While multiplication or division by a positive number preserves the inequality, multiplication or division by a negative number reverses the inequality, resulting in the correct expression 1 > 0.
2007-07-20 07:39:35 · answer #1 · answered by Huey 4 · 0⤊ 0⤋
Hey isnt it on the number line?
- 1 < 0 < 1 or (+1)
isnt it?
2007-07-20 14:33:49 · answer #2 · answered by ritukiran16 3 · 1⤊ 0⤋
1 is bigger than 0 becasue 0 is just a place holder
2007-07-20 14:32:30 · answer #3 · answered by princessleilani 1 · 1⤊ 0⤋
people invented numbers ... so if they..(our ancestors....) told as different thing..like 0>1...rather than...1>0 we wouldnt try to prove this crazy?! idea...that I cant answer
2007-07-20 14:57:23 · answer #4 · answered by CuriousG 3 · 0⤊ 0⤋
umm look on the number line, whichever number is more to the right is greater..by the way..are u mentally ill?
2007-07-20 14:31:57 · answer #5 · answered by Susmitaaa♥ 3 · 1⤊ 2⤋
Comparison. Why?
2007-07-20 14:32:58 · answer #6 · answered by Stick-ninja 3 · 1⤊ 0⤋
yes
2007-07-20 14:32:08 · answer #7 · answered by first_gholam 4 · 1⤊ 0⤋
I don't know but it is a very good question.
2007-07-20 14:31:57 · answer #8 · answered by Anonymous · 1⤊ 0⤋
who knows?
2007-07-20 14:32:00 · answer #9 · answered by Ryder 1 · 1⤊ 0⤋
no duh
2007-07-20 14:32:24 · answer #10 · answered by Anonymous · 1⤊ 0⤋