The word purposeless entails divergence, while the word purposeful entails convergence, as in a constructive sequence of “if-then” statements in a deductive sequence.
Consciousness cannot arise from materialistic interactions but rather the material manifestations are the perceptions OF consciousness.
Perception operates in accordance with the laws of causality, where the results of intentionality become causality. In other words, causality cannot be a statistical fluke that keeps maintaining order and regularity in defiance of the concept of randomness, because the very idea of randomness entails divergence with no real “purpose”.
That is to say, the succession of causal events exist as an ordered framework consisting of past/ancestral events, which appear to constrain all future/descendant events.
Time is also necessarily defined as an ordered relation, entailing convergence. Consciousness entails intentionality and intentionality entails causality.
The material universe is necessarily a consequence of consciousness.