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It is not the case that Conceptualists like Kant and neo-Kantians can accommodate intersubjective, shareable mental types that explain the data without positing Platonic abstracta.
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Reasons For
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Reason for
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1.
If concepts are mind-dependent constructs, it's unclear how they could be genuinely shared rather than merely parallel individual representations.
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2.
Conceptualism struggles with mathematical and logical truths that seem to hold independently of any particular subject's cognitive acts.
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3.
Explaining intersubjectivity requires either universal cognitive structures (metaphysically substantive) or post-hoc coordination mechanisms.
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Reasons Against
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Reason against
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1.
Kant's transcendental idealism grounds concepts in the structure of human cognition, explaining shared understanding without abstract objects.
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2.
Mental types constructed through similar cognitive architectures across subjects naturally yield intersubjectivity without Platonic commitment.
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3.
Conceptualism avoids ontological parsimony problems: it needs only minds and their operations, not a separate realm of abstract entities.
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