This problem doesn't make sense to me. Here it is:(adsbygoogle = window.adsbygoogle || []).push({});

Let P(x,y) denote the sentence 2x +y = 1

What is the truth value of ∃x∃xP(x,y) where the domain of x, y is the set of all integers.

Doesn't one of the variables need to be a y in ∃x∃xP(x,y)? In other words shouldn't the proposition be ∃x∃yP(x,y) or something similar?

Could this simply be a typo?

Thanks for any suggestions.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Truth Values of Nested Qualifiers

**Physics Forums | Science Articles, Homework Help, Discussion**