Question

If Γ |= φ and Δ |= φ, then it must be the case that Γ ∩ Δ |= φ. True or False?

Answer 1

false unless Γ ∩ Δ l = 0

Answer 2

Can you explain?

Answer 3

I was thinking along the lines of 1+2=3, and 1+2=3, then 1+2+1+2=3 doesn't work but 0+0+0+0=0...not sure if I'm thinking of it right though..

Answer 4

ok