Topic summary
State space
Extracted from the Wikipedia article State space (computer science).
Infinite
All continuous state spaces can be described by a corresponding continuous function and are therefore infinite. Discrete state spaces can also have (countably) infinite size, such as the state space of the time-dependent "counter" system, similar to the system in queueing theory defining the number of customers in a line, which would have state space {0, 1, 2, 3, ...}.