Solving Quotes - page 8
As far as dreams were concerned-well dreams are generated by the random processes of neural oscillation during the brain's rest phases. What dreams do is cycle and recycle images and feelings, rationalisations and fears. There's nothing special about that. It's not the dreams that matter (chaff, mental turbulence, the rotating metal bars moving endlessly through the transparent tub of metaphorical slushy). It is what the problem-solving circuits in the mind make of the dreams. Dreams iterate and test mental schemas, discarding the maladaptive to return the adaptive to the slush to be reworked. Dreams are emotional preparations for solving problems-that is why we have evolved them, because problem-solving abilities are highly adaptive and thus strongly evolutionarily selected. Dreams intoxicate the individual out of reliance on common sense and preconception, and tempt her into the orbit of private logic. Dreams have utility.
Adam Roberts
Every breakthrough business idea begins with solving a common problem. The bigger the problem, the bigger the opportunity. I discovered a big one when I took apart an IBM PC. I made two interesting discoveries: The components were all manufactured by other companies, and the system that retailed for $3,000 cost about $600 in parts.
Michael Dell
The so called άναλυόμϵνος ('Treasury of Analysis') is... a special body of doctrine provided for the use of those who, after finishing the ordinary Elements, are desirous of acquiring the power of solving problems which may be set them involving (the construction of) lines, and it is useful for this alone. It is the work of three men, Euclid the author of the Elements, Apollonius of Perga, and Aristaeus the elder, and proceeds by way of analysis and synthesis.
Pappus of Alexandria
recent researchers in artificial intelligence and computational methods use the term swarm intelligence to name collective and distributed techniques of problem solving without centralized control or provision of a global model. ... the intelligence of the swarm is based fundamentally on communication. ... the member of the multitude do not have to become the same or renounce their creativity in order to communicate and cooperate with each other. They remain different in terms of race, sex, sexuality and so forth. We need to understand, then, is the collective intelligence that can emerge from the communication and cooperation of such varied multiplicity.
Antonio Negri
the hegemony of immaterial labor does, though, tend to change the conditions of work. Consider, for example, the transformation of the working day in the immaterial paradigm, that is the increasingly indefinite division between work time and leisure time. In the industrial paradigm workers produced almost exlusively during the hours in the factory. When production is aimed at solving a problem, however, or creating and idea or a relationship, work time tends to expand to entire time of life. And idea or image comes to you not only in the office but also in the shower or in your dreams.
Antonio Negri
They [laboratory groups] bypass such questions as how one comes to know that a problem exists, what it does to solution adequacy to be working on several different things concurrently with problem solving, what it's like to go about solving a felt, intuited problem rather than an explicitly stated consensually validated problem which was made visible to all members at a specific point in time.
Karl E. Weick
Mathematicians are extremely lucky, they are paid for doing what they would by nature have to do anyway. One should not have a non-teaching fellowship too long, there comes a time when one must make a contribution to society. Great mathematics is achieved by solving difficult problems not by fabricating elaborate theories in search of a problem.
Harold Davenport
Mathematical programming assisted by electronic computers becomes the fundamental instrument of long-term economic planning, as well as of solving dynamic economic problems of a more limited scope. Here, the electronic computer does not replace the market. It fulfils a function which the market never was able to perform.
Oskar R. Lange
Algebraic geometry has developed in waves, each with its own language and point of view. The late nineteenth century saw the function-theoretic approach of Riemann, the more geometric approach of Brill and Noether, and the purely algebraic approach of Kronecker, Dedekind, and Weber. The Italian school followed with Castelnuovo, Enriques, and Severi, culminating in the classification of algebraic surfaces. Then came the twentieth-century "American" school of Chow, Weil, and Zariski, which gave firm algebraic foundations to the Italian intuition. Most recently, Serre and Grothendieck initiated the French school, which has rewritten the foundations of algebraic geometry in terms of schemes and cohomology, and which has an impressive record of solving old problems with new techniques. Each of these schools has introduced new concepts and methods.
Robin Hartshorne
Obama and the Democrats' preposterous argument is that we are just one more big tax increase away from solving our economic problems. The inescapable conclusion, however, is that the primary driver of the short-term deficit is not tax cuts but the lack of any meaningful economic growth over the last half decade.
Bob Beauprez
