At one moment when I say 'I', one part of me is speaking,and at another moment when I say 'I', it is quite another 'I' speaking. - Petr Uspensky

The logical formula: A is both A and Not-A, corresponds to the mathematical formula: A magnitude can be greater or less than itself. The absurdity of both these propositions shows that they cannot refer to our world. Of course absurdity, as such, is indeed not an index of the attributes of noumena, but the attributes of noumena will certainly be expressed in what are absurdities to us. To hope to find in the world of causes anything logical from our standpoint is just as useless as to think that the world of things can exist in accordance with the laws of a world of shadows or stereometry according to the laws of planimetry. To master the fundamental principles of higher logic means to master the fundamentals of the understanding of a space of higher dimensions, or of the world of the wondrous. In order to approach to a clear understanding of the relations of the multi-dimensional world, we must free ourselves from all the "idols" of our world, as Bacon calls them, i.e., from all obstacles to correct receptivity and reasoning. Then we shall have taken the most important step toward an inner affinity with the world of the wondrous.

The axioms which Tertium Organum embraces cannot be formulated in our language. If we attempt to formulate them in spite of this, they will produce the impression of absurdities. Taking the axioms of Aristotle as a model, we may express the principal axiom of the new logic in our poor earthly language in the following manner:

all true art is in fact nothing but an attempt to
transmit the sensation of ecstasy...evil always consists in the transforming of something great into something small...a living cell contains something that is lacking in a dead one...life and thought, are in the domain of the unmeasurable...the very great majority of our ideas are not the products of evolution but the product of the degeneration of ideas...Man is pre-eminently a transitional form...truth includes all in itself...Civilisation never starts by natural growth but only through artificial cultivation...People who think that something can be attained by their own efforts are as blind as those who are utterly ignorant of the possibilities of the new knowledge...Most people can except truth only in the form of a lie.