The Sociology of Philosophies

by the dominance of physical practices, embodied in material equipment (one might call this materialist constructivism). It is p ...

for moving emblems from one place to another until certain kinds of results are obtained. Platonic ideologies to the contrary, m ...

the 1650s, gave his theorems rhetorically; nevertheless he was in the swing of the new abstract procedures, and he gave the firs ...

The onset of the mathematical revolution was marked by a surge of interest in improving the efficiency of problem solving all ac ...

since the Greeks. The upheaval in mathematical method incorporated these classical curves into the central achievements of the n ...

have the kind of widespread repeatability that is the social basis of certainty. It was this takeoff in manipulating the machine ...

FIGURE 10.2. NETWORK OVERLAP OF GREEK MATHEMATICIANS AND PHILOSOPHERS, 600 B.C.E.–600 C.E. 544 • (^) Intellectual Communities: W ...

Cross-Breeding Networks and Rapid-Discovery Science • 545 ...

Every head of the Academy from Plato through Arcesilaus (excepting only Polemon) is known as a mathematician (albeit a minor one ...

famous in Europe), as well as the theosophical hybrids with ShiÀite and other sects. The indigenous Muslim intellectuals had dis ...

will be very creative. We see this by comparison to medieval Christendom (Figures 9.3 through 9.5). This was not a very notable ...

Sufi illuminationism prominent at the time (DSB, 1981: 11:249). Their science became buried by the scholasticism of the madrasas ...

the Eleatics and Sophists, and the Mohists responded with formal geometrical definitions. Here Chinese intellectuals seem to hav ...

peak generations coincide; the outburst of Neo-Confucianism came in the years 1030–1100, and the culminating systems of Chu Hsi ...

out. Philosophy drives up the level of abstraction and reflexivity, promotes periodic movements of synthesis, consciously argues ...

For the takeoff of rapid-discovery science in Europe, there are two major candidates for external conditions: early capitalism a ...

was so prominent, was one of many organizational schemes to decentralize and democratize the church. The Reformation is just one ...

rush for discoveries in science, became public; their stakes became the acclaim of large audiences. The takeoff of rapid discove ...

the mathematical-hierarchic view was dominant, the effect was to identify universals with reality and truth with that exemplifie ...

The Mathematicians The mathematical revolution built up first. Part of the increasing interest in mathematics came from practica ...