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 