An introduction to the model-theoretic approach in the philosophy of science is given and it is argued that this program is further enhanced by the introduction of partial structures. It is then shown that this leads to a natural and intuitive account of both "iconic" and mathematical models and of the role of the former in science itself.

We apply the recently elaborated notions of 'pragmatic truth' and 'pragmatic probability' to the problem of the construction of a logic of inductive inference. It is argued that the system outlined here is able to overcome many of the objections usually levelled against such attempts. We claim, furthermore, that our view captures the essentially cumulative nature of science and allows us to explain why it is indeed reasonable to accept and believe in the conclusions reached by inductive inference.

It is argued in this paper that the valid argument forms coming under the general heading of Demonstrative Induction have played a highly significant role in the history of theoretical physics. This situation was thoroughly appreciated by several earlier philosophers of science and deserves to be more widely known and understood.

Bas van Fraassen (1980) maintained that acceptance of a scientific theory does not involve belief that the theory is true, though it does involve belief that the theory is empirically adequate. This provoked a large literature attempting to refute van Fraassen’s position. For the most part, the critics attempted to show that van Fraassen’s position violates principles of inductive inference, or of rationality.2 Such criticisms do not question the possibility of conforming to van Fraassen’s conception of science; they merely argue (...) that there is good reason not to do so.But some of van Fraassen’s critics have taken a different tack. Simon Blackburn (1984, p. 223) has remarked, and Sam Mitchell (1988) and Paul Horwich (forthcoming) have argued, that acceptance of a theory, as understood by van Fraassen, is the same as believing the theory to be true. If this is right, then what van Fraassen is advocating is a logically contradictory position, and thus one to which it is impossible to conform. (shrink)

An improvement on Horwich's so-called pseudo-proof of Russell 's principle of induction is offered, which, we believe, avoids certain objections to the former. Although strictly independent of our other work in this area, a connection can be made and in the final section we comment on this and certain questions regarding rationality, etc.

I like to say there is no scientific method as such, but rather only the free and utmost use of intelligence.P.W. BridgmanIt is generally believed—see, for example, Lakatos, Dorling, Koertge, Gellner, and Finnocchiaro—that Feyerabend is committed to the view that science is an essentially irrational enterprise. In this paper, I argue initially that this is so only if Feyerabend is saddled with an unreasonable notion of rationality. Next, I point out, first, that there is a reasonable notion of rationality which (...) is compatible with Feyerabend's non-method ‘anything goes’; and, second, that unless coupled with some form of rationalism this non-method is obviously and trivially false. (shrink)

An improvement on Horwich's so-called "pseudo-proof" of Russell's principle of induction is offered, which, we believe, avoids certain objections to the former. Although strictly independent of our other work in this area, a connection can be made and in the final section we comment on this and certain questions regarding rationality, etc.