Husserl's mathematical philosophy of science can be considered an anticipation of the contemporary postpositivistic semantic approach, which regards mathematics and not logic as the appropriate tool for the exact philosophical reconstruction of scientific theories. According to Husserl, an essential part of a theory's reconstruction is the mathematical description of its domain, that is, the world (or the part of the world) the theory intends to talk about. Contrary to the traditional micrological approach favored by the members of the Vienna Circle, (...) Husserl, inspired by modern geometry and set theory, aims at a macrological analysis of scientific theories that takes into account the global structures of theories as structured wholes. This is set in the complementary theories of manifolds and theory forms considered by Husserl himself as the culmination of his formal theory of science. (shrink)

In this paper I examine parallels between C.S. Peirce's most mature account of signs and contemporary philosophy of language. I do this by first introducing a summary of Peirce's final account of Signs. I then use that account of signs to reconstruct Peircian answers to two puzzles of reference: The Problem of Cognitive Significance, or Frege's Puzzle; and The Same-Saying Phenomenon for Indexicals. Finally, a comparison of these Peircian answers with both Fregean and Direct Referentialist approaches to the puzzles highlights (...) interesting parallels and important differences between Peirce's final account of signs, and the concepts used in analytic philosophy of language. (shrink)