The Sociology of Philosophies
Epilogue: Sociological Realism It is often supposed that social constructivism undermines truth. If reality is socially construc ...
follows a grammar which is to a large degree inescapable if statements are to make sense. I do not invent my own language; my th ...
my body. Another argument to the same effect (courtesy of Maine de Biran): I feel resistance to my will; this resistance is the ...
borders and for outer limits. Difficulties arise with the infinitesimal and the infinite in time and space, and conceptually wit ...
in medias res reinforce the a priori conclusions of the sociological cogito. In both directions, social constructivism leads to ...
If Aik is a component of a covariant tensor of rank 2, then its covariant derivative with respect to xl is given by Aik,l ∂Aik ...
FIGURE E.1. SUNG DYNASTY CELESTIAL ELEMENT ALGEBRA (Source: Needham, 1959: 131) 864 •^ Meta-reflections [To view this image, ref ...
discourse, in the very saying I display a statement in a discourse. If I fall back on asserting that mathematics must be transce ...
results, embedded in the meaning of any particular mathematical expression. The history of mathematics is embodied in its symbol ...
way back to its earliest links; self-reflection on its own prior operations is itself the edifice of higher mathematics. Let us ...
results of counting: adding gives rules or shortcuts as to what will happen if one counts first one group, then another, then co ...
empiricism as a foil; numbers are not the things we observe in the world, since it is by numbers that we can enumerate things. B ...
to follow the conventions can repeat the chain of argument. Mathematics is certain because it is repeatable and reliable, and th ...
successful discovery-making equipment; these persons are in a position to refine or modify the equipment to extend past lines of ...
research equipment; though scientific entities have an intellectual side, they also have a non-intellectual side, phenomena whic ...
crude approximations at some time in the future.^10 This historical fluidity of the conceptual constructions of science is what ...
between genealogies of research equipment and the argumentative network of scientific intellectuals. Mathematical rapid-discover ...
blending seamlessly with the non-human natural reality of equipment-gener- ated phenomena. The core social network in science re ...
abstract statements into one another. Genealogies of scientific research equip- ment have become part of inescapable banal reali ...
networks, has turned to exposing the inner truth claims of the various special- ized branches to the alternative perspectives of ...
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