![While I was pursuing the concept of geometrical product, as this idea was established by my father... I concluded that not only rectangles, but also parallelograms, may be viewed as products of two adjacent sides, provided that the sides are viewed not merely as lengths, but rather as directed magnitudes. When I joined this concept of geometrical product with the previously established idea of geometrical sum the most striking harmony resulted. Thus when I multiplied the sum of two vectors by a third coplaner vector, the result coincided (and must always coincide) with the result obtained by multiplying separately each of the two original vectors by the third... and adding together (with due attention to positive and negative values) the two products. [Thus A(B + C) = AB + AC. ]
From this harmony I came to see a whole new area of analysis was opening up which could lead to important results. (Hermann Grassmann)](https://static.quotesdtb.com/img/quotes_images/52/hermann-grassmann-adjacent-analysis-950652.jpg)
While I was pursuing the concept of geometrical product, as this idea was established by my father... I concluded that not only rectangles, but also parallelograms, may be viewed as products of two adjacent sides, provided that the sides are viewed not merely as lengths, but rather as directed magnitudes. When I joined this concept of geometrical product with the previously established idea of geometrical sum the most striking harmony resulted. Thus when I multiplied the sum of two vectors by a third coplaner vector, the result coincided (and must always coincide) with the result obtained by multiplying separately each of the two original vectors by the third... and adding together (with due attention to positive and negative values) the two products. [Thus A(B + C) = AB + AC. ] From this harmony I came to see a whole new area of analysis was opening up which could lead to important results.
Hermann GrassmannRelated topics
adjacent analysis area attention came coincide concept due father harmony idea lead multiplying multiply negative opening original positive product pursuing result see striking sum third thus vector whileRelated quotes
We are forced to distinguish between three kinds of speech: (1) The external, "rhetorical speech,” in the common meaning of this expression, which only refers to images because they affect the passions. Since these images do not stem from insight, however, they remain an object of opinion. This is the case of the purely emotive, false speech: "rhetoric” in the usual negative sense. (2) The speech which arises exclusively from a rational proceeding. It is true that this is of a demonstrative character, but it cannot have a rhetorical effect because purely rational arguments do not attain to the passions, i.e., "theoretical” speech in the usual sense. (3) The true rhetorical speech. This springs from the archai, nondeductible, moving, and indicative, due to its original images. The original speech is that of the wise man, of the sophos, who is not only epistetai, but who with insight leads, guides, and attracts.
Ernesto Grassi
The Court's justification for consulting its own notions rather than following the original meaning of the Constitution, as I would, apparently is based on the belief of the majority of the Court that for this Court to be bound by the original meaning of the Constitution is an intolerable and debilitating evil; that our Constitution should not be 'shackled to the political theory of a particular era,' and that to save the country from the original Constitution the Court must have constant power to renew it and keep it abreast of this Court's more enlightened theories of what is best for our society. It seems to me that this is an attack not only on the great value of our Constitution itself but also on the concept of a written constitution which is to survive through the years as originally written unless changed through the amendment process which the Framers wisely provided.
Hugo Black
What, then, is the animal? First of all, a system of plant-souls. The unity of those plant-souls, which unity nature itself produces, is the soul of the animal. Its world is therefore partly that of the plants - its nourishment, for instance, it receives partly through synthesis from vegetable, and through analysis from animal nature - and partly that of the animals, whereof we shall speak directly. Each product of nature is an organically in-itself completed totality in space, like the plant. Hence, the unknown x which we are looking for must also be such a whole or totality, and in so far it must also have a principle of organization, a sphere and central point of this organization; in short, the same which we have called the soul of the plant, which thus remains common to both. ... The animal is a system of plant-souls, and the plant is a separated, isolated part of an animal. Both reciprocally affect each other.
Johann Gottlieb Fichte
Third Theory.-According to this theory, there is nothing in the whole Universe... that is due to chance; everything is the result of will, intention, and rule. It is a matter of course that he who rules must know. The Mohametan Ashariyah adhere to this theory, notwithstanding evident absurdities implied in it. ...The Ashariyah were therefore compelled to assume that motion and rest of living beings are predestined, and that it is not in the power of a man to do a certain thing or to leave it undone. ...It follows also from this theory, that precepts are perfectly useless, since the people to whom any law is given... can neither do what they are commanded nor abstain from what they are forbidden. ...According to this theory, it must also be assumed that the actions of God have no final cause. All these absurdities are admitted by the Ashariyah for the purpose of saving this theory.
Maimonides
At the point at which the concept of différance, and the chain attached to it, intervenes, all the conceptual oppositions of metaphysics (signifier/signified; sensible/intelligible; writing/speech; passivity/activity; etc.)- to the extent that they ultimately refer to the presence of something present (for example, in the form of the identity of the subject who is present for all his operations, present beneath every accident or event, self-present in its "living speech," in its enunciations, in the present objects and acts of its language, etc.)- become non pertinent. They all amount, at one moment or another, to a subordination of the movement of différance in favor of the presence of a value or a meaning supposedly antecedent to différance, more original than it, exceeding and governing it in the last analysis. This is still the presence of what we called above the "transcendental signified.
Jacques Derrida
