Synthetic a priori judgments are possible from "summary" of Immanuel Kant: Prolegomena to Any Future Metaphysics by Immanuel Kant
Kant argues that synthetic a priori judgments are possible because they are not derived from experience, but rather from the pure concepts of the understanding. These judgments go beyond what is contained in the subject and predicate of a proposition, thereby adding something to our knowledge that is not simply a tautological truth. For Kant, synthetic judgments are those in which the predicate concept is not contained in the subject concept. This is in contrast to analytic judgments, where the predicate is already contained within the subject. A priori judgments, on the other hand, are those that are known independently of experience, through pure reason.
Kant believes that synthetic a priori judgments are necessary for the possibility of experience itself. He argues that the categories of the understanding, such as causality and substance, are necessary for us to organize and make sense of our sensory experience. Without these categories, our experience would be chaotic and unintelligible.
Kant's position is that synthetic a priori judgments are necessary for the possibility of knowledge and understanding. They provide us with the necessary concepts and principles that allow us to structure our experience and make sense of the world around us. In this way, they are essential for the very possibility of knowledge and rationality.
In summary, Kant argues that synthetic a priori judgments are possible because they are not derived from experience, but rather from the pure concepts of the understanding. These judgments are necessary for the organization and understanding of our experience, providing us with the necessary concepts and principles to make sense of the world.
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