$($Equivalences in the blocks language$)$ In the blocks language used in Tarski$$s World there are $$ a number of equivalent ways of expressing some of the predicates. Open Bernays$$ Sentences. You will find a list of atomic sentences, where every other sentence is left blank. In each blank, write a sentence that is equivalent to the sentence above it$,$ but does not use the predicate used in that sentence. $($In doing this, you may presuppose any general facts about Tarski$$s World, for example that blocks come in only three shapes.$)$ If your answers are correct, the odd numbered sentences will have the same truth values as the even numbered sentences in every world. Check that they do in Ackermann$$s World, Bolzano$$s World, Boole$$s World, and Leibniz$$s SameRow$($a$,$b $)$

SameCol $($d$,$ b$)$

$a=d$

SameSize $(a,b)$

SameShape$($a$.$ b$)$

World. Submit the modified sentence file as Sentences $3\mathrm{.}18.$