Logic

Well, this started off in one of my random ponderings (and thus probably should go in a blog), and I'm interested in what SP (whose members have a variety of mental backgrounds) think about, if anyone has bothered wasting time on it.

It's about logic, or more about the lack thereof. What would our world be like, had there not been logic?
Now it's a far stretch in itself to be pondering about logic, let alone the lack of it, because I doubt I even grasp what logic is.
But anyway, if it's bothered you, fire away and let others have a glimpse of your mental universe.

 Preface

I started thinking of this when I thought about pseudo-code in programming. The way I perceived it (even though it's so simple it doesn't require much conceptualization), writing pseudo-code is like playing the Almighty God. When you write algorithms to instruct the computer to perform a certain task, you have to follow certain rules, procedures and limitations, such as:
- To create an object, you need to first create a constructor, which is the frame that gives shape to the pudding (for those with less technical-inclined mind).
- To make an object do something, you have to create the action that it's going to perform.

This is where pseudo-code gives you the power of creationism.
"Let there be light. Let there be seas, mountains, deserts, valleys... Let there be two girls, and a cup."

Essentially, you are ignoring the boundaries of complication and focus mainly on what you WANT to happen. You create things without the need for the tools to create those things with.
"Create object A and object B. Object A, go rape object B."
We could do anything, I thought, that we could conceive of within the realms of logic.
Wait, what was that? Within the realms of logic? Of course, you still can't divide by zero or somehow conclude, or expect that b > c just because a > b and a > c.

That's where I thought, so we are still bounded by logic. Pretty much everything human has created is built upon the stones of logic. So where would we be without it?

In my perception, logic is what makes sense to our brain, even the Schrödinger's cat. A cow is a cow, one cow, not two cows. (Which is essentially why dividing by zero yields a logical error.)
If you fall from a cliff, the gravity is going to exert enough of a force for which the "rebound" force is going to kill you. If you don't breathe, your lungs won't have air, your blood won't absorb oxygen, your cells will have nothing to burn the fuel with, there will be no energy and your body will die.

Is logic a fact, a truth? Something most natural that constructs the world as we know it, and probably the only world out there whose scope we aren't yet fully aware of? (a cow is a cow, not two cows; it seems like a factual statement)

Or is logic just the way we infer things? This happens, it means this, then it makes "sense" for that to be like that, bla bla bla. In this way, clearly we could have gone off in a different directions (we see in daily lives that one event doesn't necessarily have just one implication, we tend to just pick up one inference). But if such were the case, what would it be like without logic? What if a cow were not just a cow?