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Relation Quotes

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Relation Quotes

“The first attempts to consider the behavior of so-called "random neural nets" in a systematic way have led to a series of problems concerned with relations between the "structure" and the "function" of such nets. The "structure" of a random net is not a clearly defined topological manifold such as could be used to describe a circuit with explicitly given connections. In a random neural net, one does not speak of "this" neuron synapsing on "that" one, but rather in terms of tendencies and probabilities associated with points or regions in the net.”

“In today's world parents find themselves at the mercy of a society which imposes pressures and priorities that allow neither timenor place for meaningful activities and relations between children and adults, which downgrade the role of parents and the functions of parenthood, and which prevent the parent from doing things he wants to do as a guide, friend, and companion to his children.”

“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”

“Why shouldn't I be interested in politics? That is to say, what blindness, what deafness, what density of ideology would have to weigh me down to prevent me from being interested in what is probably the most crucial subject to our existence, that is to say the society in which we live, the economic relations within which it functions, and the system of power which defines the regular forms and the regular permissions and prohibitions of our conduct. The essence of our life consists, after all, of the political functioning of the society in which we find ourselves.”

“If the meaning of life has become doubtful, if one's relations to others and to oneself do not offer security, then fame is one means to silence one's doubts. It has a function to be compared with that of the Egyptian pyramids or the Christian faith in immortality: it elevates one's individual life from its limitations and instability to the plane of indestructability; if one's name is known to one's contemporaries and if one can hope that it will last for centuries, then one's life has meaning and significance by this very reflection of it in the judgments of others.”

“The brain is not, like the liver, heart and other internal organs, capable from the moment of birth of all the functions which it ever discharges; for while in common with them, it has certain duties for the exercise of which it is especially intended, its high character in man, as the organ of conscious life, the supreme instrument of his relations with the rest of nature, is developed only by a long and patient training.”

“In trying to evaluate Hopkins' unique contribution to biochemistry it may perhaps be said that he alone amongst his contemporaries succeeded in formulating the subject. Among others whose several achievements in their own fields may have surpassed his, no one has ever attempted to unify and correlate biochemical knowledge so as to form a comprehensible picture of the cell and its relation to life, reproduction and function.”

“It is in this mutual dependence of the functions and the aid which they reciprocally lend one another that are founded the laws which determine the relations of their organs and which possess a necessity equal to that of metaphysical or mathematical laws, since it is evident that the seemly harmony between organs which interact is a necessary condition of existence of the creature to which they belong and that if one of these functions were modified in a manner incompatible with the modifications of the others the creature could no longer continue to exist.”

“[T]he influence of the German school is most obvious in relation to the contract theory of the origin of the state and the idea of the function of the state. The theory that the state originates in an agreement between men was assailed by the German thinkers and the historical, organic, evolutionary idea substituted for it.”

“An intimate relationship does not banish loneliness. Only when we are comfortable with who we are can we truly function independently in a healthy way, can we truly function within a relationship. Two halves do not make a whole when it comes to a healthy relationship: it takes two wholes.”