Kant's Antinomy of Pure Reason demonstrates that treating the world as a completed whole produced by synthesis generates irresolvable contradictions, suggesting composing synthesis is categorially unfit to ground world-unity.

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Antinomy of Pure Reason(as the core concept in the statement): A set of logical contradictions that Kant discovered: when you try to reason about big questions (like whether the universe had a beginning), you end up with two seemingly valid but opposite conclusions, both of which can't be true at the same time.
Categorially unfit(as describing why synthesis can't establish world-unity): Fundamentally unable or inappropriate for a particular purpose—like trying to use a fork to eat soup; the tool just isn't designed for the job.
Kant(as used in epistemology and metaphysics): Immanuel Kant (1724-1804) was an influential German philosopher who argued that our minds shape how we experience reality, and that we can only truly know things as they appear to us, not as they are in themselves.
Pure Reason: # Pure Reason Pure reason is the human ability to think and understand the world using only our mind, without relying on information from our senses or personal experience. It's the kind of thinking we use when we do math, follow logical arguments, or figure out what *must* be true based on basic principles alone. The term comes from philosopher Immanuel Kant, who argued that some knowledge comes from pure reason (like mathematics) while other knowledge requires us to actually observe the world around us.

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