1 Again, if we take away, in like manner, from our empirical conception of any object, corporeal or incorporeal, all properties which mere experience has taught us to connect with it, still we cannot think away those through which we cogitate it as substance.
2 Lorem ipsum si meliora est rom our conceptions of a body all that can be referred to mere sensuous experience ugh which we cogitate it as substance, or adhering to substance.
3 And consequently prove their existence à priori. For whence could our experience itself acquire certainty, if all the rules on which it depends were themselves empirica.
4 By this means we gain a multitude of cognitions, which more than elucidations or explanations.
5 On the other hand, though at first I do not at all include the predicate of weight in my conception of body in general, that conception still indicates an object of experience.
6 Before all, be it observed, that proper mathematical propositions are always judgements à priori, and not empirical, because they carry along with them the conception of necessity, which cannot be given by experience. If this be demurred to, it matters not.
Endnotes
1 For as it was found that mathematical conclusions all proceed according to the principle of contradiction (which the nature of every apodeictic certainty requires), people became persuaded that the fundamental principles of the science also were recognized and admitted in the same way.
2 For as it was found that mathematical conclusions all proceed according to the principle of contradiction (which the nature of every apodeictic certainty requires), people became persuaded that the fundamental principles of the science also were recognized and admitted in the same way.
3 For as it was found that mathematical conclusions all proceed according to the principle of contradiction (which the nature of every apodeictic certainty requires), people became persuaded that the fundamental principles of the science also were recognized and admitted in the same way.
4 They were recognized and admitted in the same way. But the notion is fallacious; for although a synthetical proposition can certainly be discerned by means of the principle of contradiction.
5 In the first instance, I term the judgement analytical, in the second, synthetical. Analytical judgements (affirmative) are therefore those in which the connection of the predicate with the subject is cogitated through identity;
6 Either the predicate B belongs to the subject A, as somewhat which is contained (though covertly) in the conception A; or the predicate B.