Results 1 to 3 of 3

Math Help - Truth Tables

  1. #1
    Newbie
    Joined
    Aug 2010
    Posts
    2

    Truth Tables

    The Problem

    Write a truth table for the following to figure out if the argument is valid

    jane and Pete both won't win the math prize
    Pete will win either the math prize or chemistry prize
    Jane will win the math prize
    Therefore Pete will win the chemistry prize

    I know it is a valid argument but I am not sure how to start.
    This is what I have:

    Jane wins the math prize - J
    Pete wins the math prize - P
    Do I also have to include one for chemistry?

    How do I write out the Premise? Is it just J or P (exclusive or)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Dec 2010
    Posts
    470
    JM - Jane wins math prize
    PM - Pete wins math prize
    JC - Jane wins chem
    PC - Pete wins chem

    Construct a 2^4 = 16 row truth table with all possible values of JM PM JC PC

    The first 3 statements are assumptions (respectively they are):
    not(JM and PM)
    PM or PC
    JM

    The statement you are trying to prove is
    PC

    Proving this by the truth table amounts to checking that for every row where all the assumptions are true, the value of PC is true.

    Note: You can simplify your truth table by only looking at values of JM = true since that is one of your assumptions.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2010
    Posts
    2
    Thank you. Now I understand it better.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Truth Tables
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: May 4th 2011, 06:34 AM
  2. Truth Tables
    Posted in the Discrete Math Forum
    Replies: 8
    Last Post: November 8th 2009, 05:15 PM
  3. Truth Tables
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 4th 2008, 02:55 PM
  4. Truth Tables
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: February 11th 2008, 01:30 PM
  5. help with truth tables
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 3rd 2006, 04:23 PM

Search Tags


/mathhelpforum @mathhelpforum