Past exam of the philosophy of science supplementary subject of the University of Oxford / 2015 / 6 / Solution

There is defensible scientific progress, but it is not well characterized as an uninterrupted accumulation of truths or an inevitable march toward one complete description. Progress can consist in improved empirical discrimination, more accurate and wider-ranging predictions, better scientific explanation, and greater capacity to intervene reliably. Those achievements must be assessed against specified aims and competing accounts, rather than inferred from a theory's being later in time.

The physical content of an improvement matters. A model that fits a fixed data set using arbitrarily many adjustable parameters has not thereby supplied a stronger prediction. Independent tests, specified error bounds and successful application in new conditions distinguish a genuine extension of knowledge from a re-description of familiar results. An apparent failure can itself be progressive when it identifies the boundary of a model's applicability and supports a more reliable successor. More equations or more favourable observations are not enough by themselves.

The relation between Newtonian mechanics and special relativity illustrates a qualified retention of success. With invariant rest mass $m$, relativistic kinetic energy is $(\gamma -1)m{c}^2$. Its low-velocity expansion isThe first term recovers the familiar kinetic-energy expression in a controlled domain; the correction identifies a systematic departure. The successor can preserve successful low-speed calculations while revising the conceptual description of space and time. This demonstrates a relation between models, not that every statement in the earlier framework was true or that the successor is beyond further revision.

Thomas Kuhn's account gives normal science a comparatively clear measure of progress: increasingly effective solution of problems within an accepted scientific paradigm. During revolutionary theory change, the problems, classifications and standards themselves can partly change, and some older achievements may be lost or devalued. His chapter on progress nevertheless emphasizes growing problem-solving capacity; his position is not simply that no improvement occurs. The difficulty is explaining comparison across changes without treating the later community's preferences as automatically decisive.^[ref]

A scientific realist may interpret improved prediction as evidence of a more accurate account of the world. That is a further argument, not the definition of every successful calculation. Larry Laudan's historical objection warns that earlier successful accounts contained central commitments later rejected. Structural realism offers a selective response: ask which interpreted quantitative relations survive, and in which domains, rather than credit the entire old account with approximate truth.^[ref][ref]

The most reasonable conclusion is plural but not indiscriminate. Better error control, wider empirical reach and the identification of previously unknown phenomena provide substantive achievements, although they do not always increase together. Scientific progress is fallible, domain-sensitive improvement in our ability to investigate, predict and explain. A general guarantee of convergence to final truth is stronger than these achievements require, while denying every basis for comparison ignores the controlled relations and independent successes which inquiry can establish.