I still have a lot of work left to do today, but this thought kept circling in my head.
I am not the best at math. I help one of my sons with geometry and trigonometry, and I help my younger son with number lines and early arithmetic. I enjoy math when I understand the structure behind it, but I have never claimed to be some elite problem solver. Maybe that is exactly why this topic stands out to me.
Online, I constantly see posts that say things like “Only 2 percent of people can solve this,” or “Find the missing number,” or “Which shape completes the pattern?” Most of the time, I scroll past them. It is not because I am intimidated or because I cannot solve them. It is because something about them feels structurally off.
To be clear, multiple solutions are not the issue. In real mathematics, some problems absolutely have more than one solution. If you look at systems of equations, depending on the constraints, you can have one unique solution, no solution at all, or infinitely many solutions. That is legitimate mathematics. The important part is that the system clearly defines its assumptions and constraints. You know whether the system is underdetermined, whether you have enough information, and what space you are working in.
There is also a real and serious area of mathematics devoted to sequences and pattern recognition. When someone gives you a set of numbers and asks for the next one, that is not inherently trivial. For example:
2, 4, 8, 16, ?
1, 4, 9, 16, ?
3, 7, 13, 21, ?
Each of those sequences suggests a different possible rule. The first might imply multiplication by two. The second points toward perfect squares. The third invites you to examine first differences and possibly second differences. In more advanced settings, you could even fit a polynomial that passes through the given points.
What about PI?
Person of Interest – Explanation of Pi by Mr.Finch
Here is the key issue. Without defining the rule system, infinitely many patterns can fit the same starting numbers. Given just a few values, you can construct multiple valid functions that generate them, each producing a different next result. So when someone posts a puzzle and asks for the next number without specifying the rule, they are not presenting a well-defined mathematical problem. They are expecting you to guess the rule they had in mind.
That ambiguity is what creates the ick for me.
It is not about age. I am perfectly willing to listen to an eight-year-old explain quantum mechanics if they have genuinely studied it. I would gladly watch a ten-year-old give a talk about something they built. Credibility is not about age. It is about demonstrated understanding. If someone shows that they grasp the structure of what they are discussing, I am interested.
My concern with many of these puzzles is different. Often the person presenting the problem has not shown that they understand how to define a solvable system, how to constrain the solution space, or how to avoid ambiguity. The result is a question that looks precise but is not. People then argue in the comments about which answer is correct, when the real issue is that the problem itself was underdefined from the start.
The same feeling applies to “find the hidden object” or “spot the mistake” posts. Sometimes the image is cropped strangely. Sometimes the trick depends on missing context. The difficulty comes from ambiguity rather than logic.
Over time, I have realized that I do not just want a problem. I want a well-formed problem. If the assumptions are unclear and the structure is weak, I lose interest. Not because I think I am above it, but because structure matters. Real mathematics, even when it allows multiple solutions, is built on clarity. If the foundation is weak, the problem simply is not interesting to me.
And maybe that is the bigger lesson. “Not everything that shows up in your feed deserves your mental energy.”
Oh Crap… I think I’m sounding more like my wife.