Once you get into questioning whether math is acceptable, you also have to consider other prerequisite knowledge such as cryptography and coding. Then there's also physics, grammar, linguistics, etc.

Based on Emrakul's comment on the OP, I'd also be curious what people thought about if we should be trying to make different divisions in stack exchange more mutually exclusive. Following Lembik's reasoning, if many things in math.stackexchange would be "perfectly on topic" here, then can we also say this for language puzzles in English Language & Usage, cryptography puzzles in Cryptography, and EVERYTHING in Programming Puzzles & Code Golf?

The reason for a new division of Stack Exchange should be to isolate a certain type of thinking such as "new puzzle tactics" that DOESN'T belong anywhere else (hence a new division). At least that's what I thought when I joined this community.

Here's an example of a puzzle that wouldn't fit anywhere else yet is about "approaches to puzzle-solving". How many triangles are in the picture?

If a question can only belong in one subdivision of Stack Exchange, doesn't that show "Structural Integrity" of that particular subdivision, and partly to the question itself? I've tried making puzzles that would only fit in the puzzling division, yet many are voted negative because they aren't what people are used to.

In the end, back to OP's question, it's my humble opinion that every field of thinking in life has its "puzzles", that's what it means to be interesting. If puzzling.stackexchange.com is just for "interesting" things, then why not just call it "Best of Stack Exchange" division?

Once you get into questioning whether math is acceptable, you also have to consider other prerequisite knowledge such as cryptography and coding. Then there's also physics, grammar, linguistics, etc.

Based on Emrakul's comment on the OP, I'd also be curious what people thought about if we should be trying to make different divisions in stack exchange more mutually exclusive. Following Lembik's reasoning, if many things in math.stackexchange would be "perfectly on topic" here, then can we also say this for language puzzles in English Language & Usage, cryptography puzzles in Cryptography, and EVERYTHING in Programming Puzzles & Code Golf?

The reason for a new division of Stack Exchange should be to isolate a certain type of thinking such as "new puzzle tactics" that DOESN'T belong anywhere else (hence a new division). At least that's what I thought when I joined this community.

Here's an example of a puzzle that wouldn't fit anywhere else yet is about "approaches to puzzle-solving". How many triangles are in the picture?

If a question can only belong in one subdivision of Stack Exchange, doesn't that show "Structural Integrity" of that particular subdivision, and partly to the question itself? I've tried making puzzles that would only fit in the puzzling division, yet many are voted negative because they aren't what people are used to.

In the end, back to OP's question, it's my humble opinion that every field of thinking in life has its "puzzles", that's what it means to be interesting. If puzzling.stackexchange.com is just for "interesting" things, then why not just call it "Best of Stack Exchange" division?