
Whitehead's distinction rests upon his contributions to mathematics and logic, the philosophy of science, and the study of metaphysics. In the field of mathematics Whitehead extended the range of algebraic procedures and, in collaboration with Bertrand Russell, wrote Principia Mathematica (3 vol., 1910–13), a landmark in the study of logic. His inquiries into the structure of science provided the background for his metaphysical writings. He criticized traditional categories of philosophy for their failure to convey the essential interrelation of matter, space, and time.
Whitehead's life is often described as having three distinct phases roughly corresponding to his academic positions, and his influence can be felt in all three areas—
1. that of a mathematician and logician (Trinity1884-1910),
2. a philosopher of science (London 1910-1924) and
3. a philosopher of metaphysics (Harvard from 1924 onward). During this latter period he developed a comprehensive metaphysical system which has come to be known as Process Philosophy. In contrast to traditional philosophies, he asserted the essential inter-relationship of matter, space, and time; that objects may be understood as a series of events and processes. This concept was elaborated further in his book Process and Reality (1929) to assert that the process of becoming, what he calls an actual occasion, rather than substance, constituted the fundamental metaphysical constituent of the universe.
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