Kant

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Propositions, according to Kant, can also be divided into two other types: empirical and a priori. Empirical propositions depend entirely on sense perception, but a priori propositions have a fundamental validity and are not based on such perception. The difference between these two types of proposition may be illustrated by the empirical “The house is black” and the a priori “Two plus two makes four.” Kant's thesis in the Critique is that it is possible to make synthetic a priori judgments. This philosophical position is usually known as transcendentalism. In describing how this type of judgment is possible Kant regarded the objects of the material world as fundamentally unknowable; from the point of view of reason, they serve merely as the raw material from which sensations are formed. Objects of themselves have no existence, and space and time exist only as part of the mind, as “intuitions” by which perceptions are measured and judged.

In addition to these intuitions, Kant stated that a number of a priori concepts, which he called categories, also exist. He divided the categories into four groups: those concerning quantity, which are unity, plurality, and totality; those concerning quality, which are reality, negation, and limitation; those concerning relation, which are substance-and-accident, cause-and-effect, and reciprocity; and those concerning modality, which are possibility, existence, and necessity. The intuitions and the categories can be applied to make judgments about experiences and perceptions, but cannot, according to Kant, be applied to abstract ideas such as freedom and existence without leading to inconsistencies in the form of pairs of contradictory propositions, or “antinomies,” in which both members of each pair can be proved true.

In the Metaphysics of Ethics (1797) Kant described his ethical system, which is based on a belief that the reason is the final authority for morality. Actions of a...