Changes

This exercise gave us a bit of practical insight into why the commutative law holds for logical conjunction.

This exercise gave us a bit of practical insight into why the commutative law holds for logical conjunction.

Further insight into the laws that govern this realm of logic, and the underlying reasons why they apply, might be gained by systematically working through the whole variety of different products that are generated by the operational means in sight, namely, the products indicated by {1, ''m'', ''n'', ''w''}‹,›{1, ''m'', ''n'', ''w''}.

Further insight into the laws that govern this realm of logic, and the underlying reasons why they apply, might be gained by systematically working through the whole variety of different products that are generated by the operational means in sight, namely, the products indicated by <math>\{\mathbf{1}, \mathrm{m}, \mathrm{n}, \mathrm{w} \} , \{\mathbf{1}, \mathrm{m}, \mathrm{n}, \mathrm{w} \}.</math>

But before we try to explore this territory more systematically, let us equip ourselves with the sorts of graphical and matrical representations that we discovered to provide us with such able assists to the intuition in so many of our previous adventures.

But before we try to explore this territory more systematically, let us equip our intuitions with the forms of graphical and matrical representation that served us so well in our previous adventures.

===Commentary Note 9.5===

===Commentary Note 9.5===