One also needs to be very careful about, e.g., claims that quantum mechanics deals with discrete values, usually in relation to Heisenberg uncertainty principles, hence physics at the basic level is a discrete theory. That, however, is extremely misleading. It is sufficient to consult any handbook on quantum mechanics to observe that the mathematics used requires the full use of infinities. No matter whether one uses Heisenberg’s matrix approach, Hilbert’s operator formalism, Schrödinger’s wave equation or some other formalism, the mathematics involves integrals, derivatives, infinite (convergent) sums, spaces with infinite dimension, and so on (see the entry on   quantum mechanics).  Not much discreteness to be found here.  This implies that for quantum mechanics as well it is a genuine problem to find a discrete counterpart. That is clearly demonstrated by the attempts of Gerard ’t Hooft to reformulate quantum mechanics in a truly discrete fashion, see ’t Hooft (2014). Interesting to note is that it affects issues such as determinism versus indeterminism.