Help me understand this predicate logic question

mattst88
Messages
28
Reaction score
0

Homework Statement



Write a sentence of predicate logic which intuitively holds in a model iff the model has (respectively)
(a) exactly three distinct elements
(b) at most three distinct elements

I've completed the rest of this homework assignment, but I don't understand this question. Otherwise, the section consists of proofs using predicate logic.

Could anyone shed some light on what this question means?

The book (and the question) is available online, here
 
Last edited:
Physics news on Phys.org
OK... well. Don't bother now.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top