Logical System
There is the idea of setting up a code or convention or dictionary between atomic sentences and capital letters.
There are compound sentences, each of which has a main connective which connects its components.
There are five sentential logical connectives:
'∼' which translates back to 'it is not the case that...'
'.' which translates back to '... and ...'
'∨' which translates back to '... or ...'
'³' which translates back to 'if... then ...'
'≡' which translates back to '... if and only if ...'