Homework for Philosophy 270, Fall 2011

Homework on §7.7—assigned Mon 11/14 and due Wed 11/16

(to PDF format)

(i)

use a derivation to check the following and present a counterexample by using a diagram to describe a structure that divides an open gap:

∀x (Rax → Fx), Raa ⊨ ∀x (Rxa → Fx)

(ii)

analyze and restate using unrestricted quantifiers:

No one who attempts everything finishes anything

(iii)

synthesize an English sentence that has the following analysis:

(∀x: Bx) ¬ (∀y: Py) Rxy

(B: [ _ is a book]; P: [ _ is a person]; R: [ _ has been read by _ ])