Generalization Quotes - page 2
As regards the sequence in the movement of man's knowledge, there is always a gradual growth from the knowledge of individual and particular things to the knowledge of things in general. Only after man knows the particular essence of many different things can he proceed to generalization and know the common essence of things.
Mao Zedong
What is knowledge? Ever since class society came into being the world has had only two kinds of knowledge, knowledge of the struggle of production and knowledge of the class struggle. Natural science and social science are the crystallization of these two kinds of knowledge, and philosophy is the generalization and summation of the knowledge of nature.
Mao Zedong
The methods of logical procedure are very different in ancient and modem logic, but behind all difference is the construction of a universally valid order of thought, neutral with respect to material content. Long before technological man and technological nature emerged as the objects of rational control and calculation, the mind was made susceptible to abstract generalization. Terms which could be organized into a coherent logical system, free from contradiction or with manageable contradiction, were separated from those which could not. Distinction was made between the universal, calculable, "objective” and the particular, incalculable, subjective dimension of thought.
Herbert Marcuse
"A frequent source of misunderstanding has to do with the interpretation of fuzzy logic. The problem is that the term fuzzy logic has two different meanings. More specifically, in a narrow sense, fuzzy logic, FLn, is a logical system which may be viewed as an extension and generalization of classical multivalued logics. But in a wider sense, fuzzy logic, FLw is almost synonymous with the theory of fuzzy sets. In this context, what is important to recognize is that: (a) FLw is much broader than FLn and subsumes FLn as one of its branches; (b) the agenda of FLn is very different from the agendas of classical multivalued logics; and (c) at this juncture, the term fuzzy logic is usually used in its wide rather than narrow sense, effectively equating fuzzy logic with FLw.
Lotfi A. Zadeh
I made a conscious decision not to date actors, but not because I hate actors. That's a nasty generalization to make, and that's not the case... People take such an interest in your love life when you have a profile, it puts a lot of stress on a relationship. So two people with profiles, I figure it's just double the amount of scrutiny, and I'd like to avoid that at all costs.
Margot Robbie
The stampede toward "rational expectations” - widely thought to be a "revolution,” though it was only a generalization of the neoclassical idea of equilibrium-derailed the expectations-driven model building that had just left the station. In the end, this way of modeling has not illuminated how the world economy works.
Edmund Phelps
One way to clarify the origin and character, if not the justification, of the ideal inspiring our programmatic institutional ideas is to say that our program arises from the generalization of aims broadly shared by the great secular doctrines of emancipation of the recent past-both liberal and socialist-and by the social theories that supported them. At the heart of each of these doctrines lay the belief that the weakening of social divisions and hierarchies would reveal deeper commonalities and liberate productive and creative powers. The theoretical and practical consequences of this belief were drastically constricted by dogmatic assumptions about the possible forms of social change and their possible institutional expressions. We have attacked the second set of constraints and therefore, by implication, the first. The result is a more generalized or radicalized version of the social ideal. Our attack on these constraints has led us to rethink the content of the progressive cause.
Roberto Mangabeira Unger
Ideas and techniques known in quantum electrodynamics have been applied to the Bardeen-Cooper-Schrieffer theory of superconductivity. In an approximation which corresponds to a generalization of the Hartree-Fock fields, one can write down an integral equation defining the self-energy of an electron in an electron gas with phonon and Coulomb interaction. The form of the equation implies the existence of a particular solution which does not follow from perturbation theory, and which leads to the energy gap equation and the quasi-particle picture analogous to Bogolyubov's.
Yoichiro Nambu
A psychological space is established for any set of stimuli by determining metric distances between the stimuli such that the probability that a response learned to any stimulus will generalize to any other is an invariant monotonic function of the distance between them. To a good approximation, this probability of generalization (i) decays exponentially with this distance, and (ii) does so in accordance with one of two metrics, depending on the relation between the dimensions along which the stimuli vary. These empirical regularities are mathematically derivable from universal principles of natural kinds and probabilistic geometry that may, through evolutionary internalization, tend to govern the behaviors of all sentient organisms.
Roger Shepard
Not long ago the head of what should be a strictly scientific department in one of the major universities commented on the odd (and ominous) phenomenon that persons who can claim to be scientists on the basis of the technical training that won them the degree of Ph.D. are now found certifying the authenticity of the painted rag that is called the "Turin Shroud" or adducing "scientific" arguments to support hoaxes about the "paranormal" or an antiquated religiosity. "You can hire a scientist [sic]," he said, "to prove anything." He did not adduce himself as proof of his generalization, but he did boast of his cleverness in confining his own research to areas in which the results would not perturb the Establishment or any vociferous gang of shyster-led fanatics. If such is indeed the status of science and scholarship in our darkling age, Send not to ask for whom the bell tolls.
Revilo P. Oliver
