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Connections Quotes

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Connections 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.”

“Naturally, grown-up citizens are concerned about the beatniks and delinquents. ... The question is why the grownups do not, more soberly, draw the same conclusions as the youth. Or, since no doubt many people are quite clear about the connection that the structure of society that has becoming increasingly dominant in our country is disastrous to the growth of excellence and manliness, why don't more people speak up and say so?”

“As I see it, the major requirements for a strong and able rendering are an understanding of a work's structure, voicing, and trajectory; an ability to execute the details on the page from largest to smallest; technical command, and hopefully a connection with the overall expressive impulse (though the latter is not at all necessary to give a good performance).”

“Nature delights in making use of the same forms in the most various biological connections: as it does, for instance, in the appearance of branch-like structures both in coral and in plants, and indeed in some forms of crystal and in certain chemical precipitates.”

“Observation by means of the microscope will reveal more wonderful things than those viewed in regard to mere structure and connection: for while the heart is still beating the contrary (i.e., in opposite directions in the different vessels) movement of the blood is observed in the vessels-though with difficulty-so that the circulation of the blood is clearly exposed.”

“No physiologist who calmly considers the question in connection with the general truths of his science, can long resist the conviction that different parts of the cerebrum subserve different kinds of mental action. Localization of function is the law of all organization whatever: separateness of duty is universally accompanied with separateness of structure: and it would be marvellous were an exception to exist in the cerebral hemispheres.”

“As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure.”