2007-12-27 06:25:59 · 8 answers · asked by Alexander 6 in Science & Mathematics ➔ Mathematics
x < x+1
Where x = any possible integer.
2007-12-27 06:28:36 · answer #1 · answered by Mark B 5 · 3⤊ 0⤋
Assume that there is a greatest integer, call it G. Now, add 1 to G and you have G+1, showing there is a number larger than G. You can continue adding 1 to G+1 and on and on, showing there is no such thing as a largest integer.
2007-12-27 06:29:07 · answer #2 · answered by kuiperbelt2003 7 · 1⤊ 0⤋
Proof by Contradiction. Assume there was some greatest integer, K. Then there could be no K such that K+ 1 > K. But by the properties of integers, K !=K+1 nor K> K+1. Contradiction. therefore there is no such K.
2007-12-27 06:34:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Given that an integer is a whole number, either positive or negative, of COURSE there's no greatest integer. You could always add on another number.
2007-12-27 06:36:23 · answer #4 · answered by Mountain Ash 2 · 0⤊ 0⤋
by definition (axiomas of peano) there is no greatest integer,well and you also need to use a definition of 'greatest'
2007-12-27 06:28:19 · answer #5 · answered by gjmb1960 7 · 0⤊ 2⤋
∞
2007-12-27 06:34:18 · answer #6 · answered by ryan_is_your_king 3 · 0⤊ 1⤋
You have to use induction.
2007-12-27 06:29:34 · answer #7 · answered by juicy_wishun 6 · 0⤊ 0⤋
whattttt?
2007-12-27 06:28:13 · answer #8 · answered by Anonymous · 0⤊ 2⤋