In the mathematical sense it’s a point that isn’t well defined or “well behaved”. Idk if you divide by 0 you end up with a point that isn’t well defined as depending on how you end up with 0 you get a value of infinity or close to 0 or 1 or whatnot.
Or if you have stuff like resonance (catastrophe):
[https://en.wikipedia.org/wiki/Mechanical_resonance#/media/File:Resonance.PNG](https://en.wikipedia.org/wiki/Mechanical_resonance#/media/File:Resonance.PNG)
Where if you excited an oscillation with the exact right frequency it would technically increase in amplitude without limit. In reality though it would break at one point.
Or the idea of the technological singularity, in that if better tech lets us build better tech, than this is exponentially increasing so at one point the graph will almost go straight up.
Latest Answers