Some definite interpretation of a linear algebra would, at first sight, appear indispensable to its successful application. But on the contrary, it is a singular fact, and one quite consonant with the principles of sound logic, that its first and general use is mostly to be expected from its want of significance. The interpretation is a trammel to the use. Symbols are essential to comprehensive argument.
Benjamin PeirceRelated topics
algebra appear application argument comprehensive consonant contrary definite essential fact general indispensable interpretation linear logic quite sight significance singular sound trammel useRelated quotes
How very paltry and limited the normal human intellect is, and how little lucidity there is in the human consciousness, may be judged from the fact that, despite the ephemeral brevity of human life, the uncertainty of our existence and the countless enigmas which press upon us from all sides, everyone does not continually and ceaselessly philosophize, but that only the rarest of exceptions do.
Arthur Schopenhauer
For Christians above all men are forbidden to correct the stumblings of sinners by force...it is necessary to make a man better not by force but by persuasion. We neither have authority granted us by law to restrain sinners, nor, if it were, should we know how to use it, since God gives the crown to those who are kept from evil, not by force, but by choice.
John Chrysostom
When you are insulted by someone or humiliated, guard against angry thoughts, lest they arouse a feeling of irritation, and so cut you off from love and place you in the realm of hatred. You should know that you have been greatly benefited when you have suffered deeply because of some insult or indignity; for by means of the indignity self-esteem has been driven out of you.
Maximus the Confessor
Let us conceive, then, of an algebra in which the symbols x, y z etc. admit indifferently of the values 0 and 1, and of these values alone The laws, the axioms, and the processes, of such an Algebra will be identical in their whole extend with the laws, the axioms, and the processes of an Algebra of Logic. Difference of interpretation will alone divide them. Upon this principle the method of the following work is established.
George Boole
Confined within this catch-all concept, within this vast encampment of the animal, in this general singular, within the strict enclosure of this definite article ("the Animal” and not "animals”), as in a virgin forest, a zoo, a hunting or fishing ground, a paddock or an abattoir, a space of domestication, are all the living things that man does not recognize as his fellows, his neighbors, or his brothers.
Jacques Derrida
