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It is not the case that Descartes' own correspondence with Princess Elisabeth reveals he could not coherently explain psychophysical causation using mechanical principles alone.
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Reasons For
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1.
Acknowledging a problem's difficulty is not equivalent to failing to explain it; Descartes offered the pineal gland hypothesis despite its limitations.
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2.
Descartes distinguished psychophysical causation from purely mechanical causation, so requiring mechanical explanation alone misrepresents his actual theory.
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3.
Modern physics has abandoned classical mechanical principles anyway, so evaluating Descartes by standards he couldn't meet proves little about his coherence.
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Reasons Against
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Reason against
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1.
Descartes' letters to Elisabeth explicitly acknowledge difficulty explaining how immaterial mind causally influences material body through mechanical laws.
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2.
Mechanical causation requires spatial contact and physical force, but immaterial substances cannot satisfy these conditions by definition.
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3.
Descartes never provided a rigorous mechanical model of mind-body interaction, only vague references to the pineal gland as a supposed locus.
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