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an unintentionally invalid argument

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Kant's target in the Paralogisms is not the narrow rationalism of Leibniz or Descartes, but this Wolffian tradition of which Kant himself was a part: Kant has as his primary target the illusion that the T is originally given as an object of inner experience, mistaking the unity of inner experience with an inappropriately inferred substantial unity underlying that experience.
Here, "[t]he Cartesian Cogito, ergo sum is objectionable," an objection that begins along Kantian lines established most clearly in the restatement of"The Paralogisms of Pure Reason" in the second edition of The Critique of Pure Reason (1.
35) At the same time he reassures us that, unlike other more elaborate romances, Cloria does not depend on and will not elicit the paralogisms or "false conjectures, which in a Romance, is not proper.
25) In the mid-1770s Carli, like Diderot, dismissed Refutation as just one more tiresome collection of physiocratic "declamations, promises and paralogisms," but he did not do it to save the Enlightenment, of which he, unlike Diderot, was an ambivalent friend.
More specifically, Ameriks suggests that "the restraints of the Paralogisms .
In his Philosophical Treatise on the Immaterial Nature of the Soul, Knutzen defends the soul's nature as simple, immaterial, free, and immortal--an element of 'traditional metaphysics' attacked in the Paralogisms.
Of course, aspects of the structure of the first Critique were informed by Baumgarten's, and Wolffs, metaphysics, for example the sections on the paralogisms (psychology), antinomies (cosmology), and the Ideal (theology) in the Transcendental Dialectic.
The Paralogisms arise from mistaking what Kant calls the 'logical' features of this 'I think' with the characteristics of an empirical object as determined by the categories.
In the chapter of the Critique of Pure Reason entitled "The Paralogisms of Pure Reason," Kant seeks to explain how rationalist philosophers, including thinkers of the caliber of Descartes and Leibniz, could have arrived at what he considers to be certain erroneous, "dogmatic" conclusions about the nature of the self or soul.