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Inverse View
It is not the case that Anything properly derived from first principles by syllogistic inference is known with certainty
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
First principles themselves are not self-evidently certain but are psychological compulsions mistaken for logical necessity, as Hume argued in the Enquiry.
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2.
If the certainty of first principles is merely psychological, syllogistic conclusions derived from them inherit only psychological compulsion, not epistemic certainty.
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Reason for 2 of 2
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1.
Syllogistic validity preserves truth only if the inference rules themselves are truth-preserving, which cannot be established without circularity (Carroll's 'What the Tortoise Said to Achilles').
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2.
Scotus's claim that syllogistic validity is known in the same self-evident way as first principles does not dissolve the regress but merely asserts it stops at two distinct points without principled justification.
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Reasons Against
1 perspective
Reason against
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1.
Knowledge of first principles is certain
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2.
The validity of proper syllogistic inference can be known in the same self-evident way as first principles
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