Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about ordered field axioms

  1. Sep 13, 2009 #1
    If you have [itex]a > b[/itex] and [itex]c \geq d[/itex], do you have [itex]a + c > b + d[/itex]?
  2. jcsd
  3. Sep 13, 2009 #2
    Yes you do, but it's a theorem about ordered fields, not an axiom (usually). You may try to prove it from the axioms.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Question ordered field Date
B Function rules question Saturday at 9:49 AM
B Question about a limit definition Feb 27, 2018
A Angular Moment Operator Vector Identity Question Feb 10, 2018
A question about principal ideals and order Jan 1, 2013
A question regarding the order of a pole Apr 13, 2012