At first, I had trouble to believe it, and tried to find counterexamples, until I realized that the composition of continuous functions is continuous. I still wonder sometimes whether an infinite composition of continuous functions has to be continuous (limit of a sequence) if it represents some real world evolving process. Can it produce a discontinuity in the limit?
Anyway, Buridan’s principle informs our consensus process in Intercoin Protocol[1] [2] — it is why the consensus groups are always of a bounded finite size, so we don’t approach the errors in Buridan’s priciple (I think this is also called unstable problems).
1. Beyond blockchains https://community.intercoin.org/t/intercoin-technology-conse...
2. Experimental improvements https://community.intercoin.org/t/experimental-improvements-...
Anyone who reads the above … I would be very interested in your feedback on our forum.