How would world history and modern society differ if technology stalled near its 1880s level?
Short answerThe cause matters: religious restrictions, absent oil, or a catastrophic setback would each create different limits, and stopping one technology would not necessarily stop all others.
NotesThe cause of an 1880s technological plateau would determine much of the resulting history. A religious prohibition favoring coal-fired steam would create different constraints from an Earth without accessible oil. A catastrophic setback could instead leave society rebuilding toward an earlier level of capability. Missing oil would also remove petrochemical resources, so the consequences would reach beyond engines. Even that premise would not automatically prevent the discovery of nuclear energy. The scenario needs a reason for progress to stop before its later history can be worked out.