The author endeavours to show two things: first, that Schrödingers (and Eckarts) demonstration in March (September) 1926 of the equivalence of matrix mechanics, as created by Heisenberg, Born, Jordan and Dirac in 1925, and wave mechanics, as created by Schrödinger in 1926, is not foolproof; and second, that it could not have been foolproof, because at the time matrix mechanics and wave mechanics were neither mathematically nor empirically equivalent. That they were is the Equivalence Myth. In order to make the (...) theories equivalent and to prove this, one has to leave the historical scene of 1926 and wait until 1932, when von Neumann finished his magisterial edifice. During the period 1926–1932 the original families of mathematical structures of matrix mechanics and of wave mechanics were stretched, parts were chopped off and novel structures were added. To Procrustean places we go, where we can demonstrate the mathematical, empirical and ontological equivalence of ‘the final versions of’ matrix mechanics and wave mechanics. -/- The present paper claims to be a comprehensive analysis of one of the pivotal papers in the history of quantum mechanics: Schrödingers equivalence paper. Since the analysis is performed from the perspective of Suppes structural view (‘semantic view’) of physical theories, the present paper can be regarded not only as a morsel of the internal history of quantum mechanics, but also as a morsel of applied philosophy of science. The paper is self-contained and presupposes only basic knowledge of quantum mechanics. For reasons of length, the paper is published in two parts; Part I appeared in the previous issue of this journal. Section 1 contains, besides an introduction, also the papers five claims and a preview of the arguments supporting these claims; so Part I, Section 1 may serve as a summary of the paper for those readers who are not interested in the detailed arguments. (shrink)

Early in 1926 Erwin Schrodinger presented his famous theory of wave mechanics to account for atomic phenomena. It is often assumed that Schrodinger’s work reflected a realist philosophy. In this article, I will argue that this assumption is incorrect.

Inconsistencies in science take several forms. Some occur at the level of substantive claims about the world. Others occur at the level of methodology, and take the form of dilemmas, or cases of conflicting epistemic or cognitive values. In this article, I discuss how methodological dilemmas arise. I then consider how scientists resolve them. There are strong grounds for thinking that emotional judgement plays an important role in resolving methodological dilemmas. Lastly, I discuss whether and under what conditions this reliance (...) on emotional judgement is rationally warranted. I consider two possible mechanisms, based on coherence and induction, able to ensure that scientists’ emotional responses to methodological dilemmas are rationally warranted. (shrink)