(A ∧ B) ∨ C
A ∧ (B ∨ C)
This ends my discussion of these two sentences.
Although they differ only with respect to brackets, they have different truth-tables
and so contribute differently to the validity or not of arguments.
There's a simple message and a complex one.
The simple message is that the brackets matter.
The complex one is that we have more work to do in explaining our formal language, awFOL.
We have more work to do because we haven't yet said what the brackets mean,
although it's clear that they contribute to the meanings of sentences of awFOL.
What is the counterpart of a truth-table for brackets?
In this course we don't have time to worry about this question; we must leave the meaning
of the brackets as something that you get only implicitly.