A formulation of the determinism hypothesis

Abstract

The author tries to formulate what a determinist believes to be true. The formulation is based on some concepts defined in a systems-theoretical manner, mainly on the concept of an experiment over the sets A ^m (a set of m-tuples of ‘input values’) and B ⁿ (a set of n-tuples of ‘output values’) in the time interval (t ₁, ..., t _k ) (symbolically E[t ₁,..., t _k , A ^m , B ⁿ]), on the concept of a behavior of the system S ^m,n (=(A ^m , B ⁿ)) on the basis of the experiment E[t ₁, ..., t _k , A ^m , B ⁿ] and, indeed, on the concept of deterministic behavior .... The resulting formulation of the deterministic hypothesis shows that this hypothesis expresses a belief that we always “could find” some “hidden parameters”.