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coincidence

Mathematically, "coincidence" refers to two events that are "mutually exclusive"; meaning both don't influence each other's probability.
On Wednesday, July 24th 2024, my dad took me out of the theatrical screening of "Deadpool & Wolverine". This MCU movie had too much inappropriate contents (violence, coarse language) for me, but by coincidence it still had some form of "post-credit" scene that I was longing for.

Coincidentification

The act of explaining away any pattern, correlation, or meaningful connection as mere coincidence. Coincidentification dismisses evidence of causality, synchronicity, or design as “just chance,” often without statistical or logical analysis. It is common in hyper‑skeptic circles, where any suggestion of non‑random structure is met with “that’s a coincidence.” Critics argue that coincidentification is a form of cognitive laziness: it avoids investigating the pattern. It also ignores that coincidences can be real and informative (e.g., rare alignments that signal causation). It is the opposite of apophenia.
Coincidentification Example: “He coincidentified the repeated failures of the bridge as ‘just bad luck,’ ignoring the engineering reports. His dismissal delayed repairs until the collapse. Coincidence was not a safety strategy.”

Coincidenciomania

An obsessive, pathological version of coincidentification, where every perceived pattern is automatically dismissed as coincidence without investigation. Coincidenciomania is common in debunking communities, where the default explanation for any anomalous pattern is “random chance.” Practitioners refuse to compute probabilities, demand impossible levels of evidence, and treat any claim of non‑randomness as “paranoid.” Critics argue that coincidenciomania is itself a form of irrationality: if everything is coincidence, then nothing can be learned from observation. It is a dogmatic refusal to see structure.
Coincidenciomania Example: “The coincidenciomaniac dismissed the six identical crashes at the same intersection as ‘coincidence,’ refusing to examine the blind curve or the missing sign. His denialism cost lives.”

4 Coincidences 

4 is all of these:
2+2
2*2
2^2
4*(4-4)+4
As you can see, there are 4 ways to make 4 out of 4 and the square root of 4, and even a way to make 4 out of 4 4s.
A: Why are you writing 4444444444444444 on your math homework?
B: 16 is 4 squared so I am writing 16 4s. There are even more 4 Coincidences, like this one.
There are 4 ways to make 4 out of 2 2s. 2+2, 2*2, 2^2, and 2^2 2 times.
4 Coincidences by Sebastian Herb November 30, 2020