# Writing a proposition in words.

• Sep 9th 2008, 03:59 PM
Writing a proposition in words.
Let P(x) denote the statement "x is taking a math course." The domain of discourse is the set of all students. Write each proposition in Exercises 28 to 33 in words.

28. A x P(x) [Mind you, the A is supposed to be the upside down A.]

The answer in the back of the book is, "Every student is taking a math course." but I don't understand so I'd really appreciate it if someone could explain it to me.
• Sep 9th 2008, 10:18 PM
Moo
Hello,

A x P(x)

This means that if you take any "x", the proposition P will be true, that is to say :
"for every student" A x
"it is true that the student is taking a math course" P(x)

This can be reworded "Every student is taking a math course"

Looks clearer ? (Worried)
• Sep 9th 2008, 10:55 PM
CaptainBlack
Quote:

Originally Posted by Moo
Hello,

A x P(x)

This means that if you take any "x", the proposition P will be true, that is to say :
"for every student" A x
"it is true that the student is taking a math course" P(x)

This can be reworded "Every student is taking a math course"

Looks clearer ? (Worried)

Well certainly more colourfull (Itwasntme)

RonL