David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Manuscrito 33 (1):123-141 (2010)
In this first paper of a series of works on the foundations of science, we examine the significance of logical and mathematical frameworks used in foundational studies. In particular, we emphasize the distinction between the “order of a language” and the “order of a structure” to prevent confusing models of scientific theories with first-order structures , and which are studied in standard model theory. All of us are, of course, bound to make abuses of language even in putatively precise contexts. This is not a problem---in fact, it is part of scientific and philosophical practice. But it is important to be sensitive to the different uses that “structure”, “model”, and “language” have. In this paper, we examine these topics in the context of classical logic; only in the last section we touch upon briefly on non-classical ones
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