"From a drop of water, a logician could infer the possibility of an Atlantic or a Niagara without having seen or heard of one or the other." -Sherlock Holmes.
-(Sir Arthur Conan Doyle), A Study In Scarlet.
About 40% of our students love logic,
even when they don't necessarily realize it.
Logic is simply the ability to apply set rules to different scenarios.
Algebra is really just based on two simple rules.
#1. Always do the same thing to both sides of an equal sign, so it stays balanced.
#2. If you're trying to get rid of stuff and figure out what something down at the center was, make sure you peel off layers from the outside-in, just like peeling an onion.
(Use forward-PEMDAS if you have numbers to work with, reverse-PEMDAS if you're trying to figure out what those numbers were).
That's it. Everything in algebra is based on those two rules.
If this thought appeals to you, you're probably a lot more talented at logic than you might think.
Your brain was designed to think, and it's amazing how much information you can pack into a teeny-tiny package, as long as you have the rules to help you figure out what to do with it.
"When you have eliminated all which is impossible, then whatever remains, however improbable, must be the truth." -Sherlock Holmes.
-(Sir Arthur Conan Doyle), The Blanched Soldier.