1.

Which
of the following are truth functors? Where the expression is a truthfunctor,
what is its truthtable? Where it is not a truthfunctor what is
its partial truthtable? (A partial truthtable is a truthtable
in which some rows have a "?" in them; in these cases,
think of pairs of examples to show that sometimes the resulting
sentence will be true in these cases and sometimes the resulting
sentence will be false.)


(i)

j
or y or both. 
(ii)

It
is true that j 
(iii)

It
is a necessary truth that j 
(iv)

It
could have been the case that j 
(v)

j,
but not because y 
(vi)

It
is true that j or it isn't 
(vii)

j,
but grass is not green 
(viii)

j,
whether or not grass is green 
(ix)

Everyone
knows that it is true that j or it isn't 