Final answer:
In a four-dimensionalist closed world, causal determination suggests a predetermined universe where time is just another dimension.
Step-by-step explanation:
The concept of causal determination in a four-dimensionalist closed world, which views time as another dimension like the three spatial dimensions, challenges traditional notions of causality. Under a four-dimensional view, every event in the universe is fixed within this spacetime framework, leading to a perspective where the flow of time does not influence the determination of events. Instead, all points in time, past, present, and future, are laid out in a block universe, where causal relationships are seen more as correlations within this four-dimensional tapestry, rather than as a standard sequence of cause and effect.
Determinism in a four-dimensionalist perspective suggests a closed system where everything is predetermined because of the atemporal relationships between events; just as the three spatial dimensions are given at once, so too is the timelike dimension. However, the potential lack of variability or openness for future events to be other than they are challenges our usual concepts of freedom and moral responsibility, as posited in hard determinism and compatibilism. The relevance and utility of causal determination in such a world might be to provide a framework for understanding the universe that eschews the need for free will, focusing instead on understanding the universe as a complete and ordered structure.
The perspectives on determinism, such as those of hard determinism, compatibilism, and indeterminism, offer different interpretations of this causal framework. The concept of causal determination can still be useful for predicting and explaining events even in a seemingly closed four-dimensional world because it helps create a structured understanding of the universe, even if it limits the notion of individual agency and free will.