Moscow, Russia

Geometric Group Theory, Geometric Topology, Hyperbolic Geometry, Discrete Subgroups of Lie Groups, Arithmetic Groups, Reflection Groups, Coxeter Polytopes

Language: English Studies in English
University website: mipt.ru/english/
4 years
Theory
A theory is a contemplative and rational type of abstract or generalizing thinking, or the results of such thinking. Depending on the context, the results might, for example, include generalized explanations of how nature works. The word has its roots in ancient Greek, but in modern use it has taken on several related meanings.
Theory
Great theories are expansive; failures mire us in dogmatism and tunnel vision.
Stephen Jay Gould, Eight Little Piggies (1993), "More Light on Leaves".
Theory
Philosophical theories or ideas, as points of view, instruments of criticism, may help us to gather up what might otherwise pass unregarded by us. “Philosophy is the microscope of thought.” The theory or idea or system which requires of us the sacrifice of any part of this experience, in consideration of some interest into which we cannot enter, or some abstract theory we have not identified with ourselves, or what is only conventional, has no real claim upon us.
Walter Pater (1873), The Renaissance, Conclusion
Theory
The final test of a theory is its capacity to solve the problems which originated it.
George Dantzig (1963) Linear Programming and Extensions, Princeton University Press, p. vii.
Although forests are dynamic systems, the speed of change to which they are subjected is now at an unprecedented level. This is due to factors such as climate change, nitrogen deposition, the introduction of invasive species, and the loss of biodiversity and habitat.
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