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It is not the case that Thinking about things in themselves using categories does not establish that it is even possible for things in themselves to fall under the categories
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Reasons For
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Reason for 1 of 2
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1.
The categories are not merely psychological tools but express the formal conditions under which any object can be coherently conceived at all.
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2.
If something is genuinely conceivable as an object, it must conform to the minimal logical structure the categories articulate, regardless of its ontological status.
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3.
Therefore, the applicability of categories to things in themselves is a precondition of their being thinkable as 'things' rather than a contingent cognitive imposition.
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Reason for 2 of 2
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1.
Hegel argues in the Science of Logic that Kant's sharp division between thought and being is itself incoherent, since being that is wholly external to thought is an empty abstraction.
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2.
If the thing-in-itself is genuinely beyond categorical determination, it collapses into pure indeterminate nothingness, which cannot serve as the ground of appearances.
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3.
The claim thus undermines the very notion of a thing-in-itself it seeks to protect, rendering Kant's own framework internally inconsistent.
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Reasons Against
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Reason against
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1.
We can think of any objects whatsoever using categories
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2.
Using categories to think about things in themselves does not yield knowledge of the nature or possibility of things in themselves
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