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Kant believed himself to have established for philosophy a system of apodeictic conclusions, which were as completely forever to have displaced the old dogmatism as Copernicus had displaced the Ptolemaic astronomy.

Science has but few apodeictic precepts in its catechism; it consists chiefly of assertions which it has developed to certain degrees of probability.

Mathematics carries with it thoroughly apodeictic certainty, that is, absolute necessity, and, therefore, rests on no empirical grounds, and consequently is a pure product of reason, and, besides, is thoroughly synthetical.

In its apodeictic nature, it is the absoluteness of spirit.

We have here only to do with the distinction of imperatives into problematical, assertorial, and apodeictic.