Sometimes,
mathematics finds and studies rules or ideas in the real world that we
don't understand yet. Often in mathematics, ideas and rules are chosen because
they are considered simple or neat. On the other hand, sometimes these
ideas and rules are found in the real world after they are studied in
mathematics; this has happened many times in the past. In general,
studying the rules and ideas of mathematics can help us understand the world better.
The same syllogism can be written in a notation:
is read like "and", meaning both of the two. 
is read like "or", meaning at least one of the two. 
is read like "implies", or "If ... then ...". 
is read like "not", or "it is not the case that ...". Parentheses (,) are added for clarity and precedence; this means that what is in parenthesis should be looked at before the things outside.
