This is actually an open question in physics - it's currently unclear if physics requires any kind of spatial infinite continuum, or if all of spacetime may be discrete. Physicists take both possibilities seriously, and some prefer the idea of discrete for various reasons, and others prefer to think that it is a genuine continuum, and many are just uncertain and undecided and comfortable saying "I don't know".
If you have a strong preference one way or the other, keep that preference, and work on articulating it, but at this point it's wise to hedge that preference with "... but I'm not certain this is how reality must work".