Infinity as Relational Potential
Imagine a process, I, whose states perpetually interact with other processes and whose relational field continually expands:
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There is no final “state” or endpoint; the process continuously creates new alignments.
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Horizons of time, space, and meaning are open-ended, always partially unconstrued.
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The Infinite Process illustrates that potentiality itself is structured: coherence arises from relational constraints even as the field expands without limit.
Implications
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Infinity is not an abstract totality but a dynamic horizon of relational possibility.
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Complexity, novelty, and emergence are natural consequences of unbounded relational interactions.
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Symbolic, social, and cognitive systems can be understood as finite instantiations within an effectively infinite relational field, continuously actualising new possibilities.
Concluding the Sequence
Through these five thought experiments — Entangled, Observer, Fragmented, Collective, and Infinite Processes — we have explored the emergence of:
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Coherence without independent identity (Entangled).
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Perspective and construal (Observer).
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Distributed identity and partial alignment (Fragmented).
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Collective behaviour and emergent norms (Collective).
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Unbounded potential and structured possibility (Infinite).
At each stage, we see that process is primary, and horizons — of time, space, reflexivity, and meaning — emerge relationally. This sequence illustrates the power of relational ontology to illuminate the architecture of possibility across individual, collective, and symbolic domains.
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