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Discrete Time and Space

There is a strong intuitive argument that if causal finitism is true, then space and time are discrete. Discreteness, especially of time, is discussed, and varieties are distinguished. The implication fromcausal finitism to discretenesswould be problematic for causal finitism asmany physical theories involve continuous space and time.However, the argument from causal finitism to discreteness is challenged, and it is argued that while causal finitism does provide intuitive support for the discreteness thesis, it does not require it. Interpretations of physics, and specifically of QuantumMechanics, are offered on which time is continuous but nonetheless causation is discrete in a way that coheres with causal finitism.