Fields of Mathematics
See also: Areas of mathematics and Glossary of areas of mathematicsMathematics can, broadly speaking, be subdivided into the study of quantity, structure, space, and change (i.e. arithmetic, algebra, geometry, and analysis). In addition to these main concerns, there are also subdivisions dedicated to exploring links from the heart of mathematics to other fields: to logic, to set theory (foundations), to the empirical mathematics of the various sciences (applied mathematics), and more recently to the rigorous study of uncertainty.
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Famous quotes containing the words fields of, fields and/or mathematics:
“The need to exert power, when thwarted in the open fields of life, is the more likely to assert itself in trifles.”
—Charles Horton Cooley (1864–1929)
“The world’s great day is growing late,
Yet strange these fields that we have planted
So long with crops of love and hate.”
—Edwin Muir (1887–1959)
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)