I believe there are infinite ways to solve a problem. This means there exists an "infinite solution set" consisting of your theoretical + practical solutions for a given problem. Imagine this infinite solution set as a 2D rectangle. I'll refer to this rectange as the problem space. If you think even harder you'll realize that all real life problems we currently/will face will only ever have a "finite solution set" due to our civilizational and technological limitations. Imagine this as another 2D rectangle within the problem space and I'll refer this space as unconstrained-solution space. The more you constrain this unconstrained space to the specifics of the problem at your hand, the closer you'll get to another smaller space within unconstrained-solution space which I'll refer to as the solution space. If I visualize this, you'll end up with something close to the below image.

All solutions to a particular real life problem can be represented in above three space's whereas a solution itself can either be "correct" that is you've won and solved the problem or "wrong" that is you've lost and failed to solve the problem.

• Consider the case of winning. If you win, that is if you find yourself within the solution space at your first attempt of solving a given problem. You'll have no idea about the respective boundaries/edges the problem space and the unconstrained-solution space (rectangles).
• Consider the case of failing. If you fail, that is if you find yourself outside of solution space and inside of either problem space or unconstrained-solution space. You'll get a chance to explore the boundaries of either of these spaces.

In my perspective, winning has a negative impact on the problem at your hand since the solution works and you call it a day whereas failing/struggling has a positive impact on the problem at your hand as you explore and map out the spaces. I also find it fun to explore and reach various unintended solutions that I wasn't meant to reach. I've been doing it from the days I used to play games and stumble upon "easter eggs" placed by the game developers to today, where I use this thought model for almost all of my problems that I try to solve. Here my internal curiousity plays a huge role here and acts as a guide which helps me map out solutions to my problems the above three spaces.

I wrote this for people who struggle and think they're not capable enough to solve a given problem. I've been there and you can actually solve everything you put your mind too. I hope it helps you next time you solve a problem.

& I'd rather fail than win. It's is a lot more fun.