For as it was found that the conclusions of mathematicians all proceed according to the law of contradiction (as is demanded by all apodeictic certainty), men persuaded themselves that the fundamental principles were known from the same law. This was a great mistake, for a synthetical proposition can indeed be comprehended according to the law of contradiction, but only by presupposing another synthetical proposition from which it follows, but never in itself.
ba egia da, proposizio sintetiko bat kontsidera daitekeela kontraesanezko printzipioaren arabera, baina zerako kasutan bakarrik da hori posible, alegia beste proposizio sintetiko bat presuposatzen denean eta hura hemendik ondorio daitekeenean, baina inola ere ez berez.