Laws and Explanations; Theories and Modal Possibilities

  • Arnold Koslow

Part of the Synthese Library book series (SYLI, volume 410)

About this book


The book has two parts: In the first, after a review of some seminal classical accounts of laws and explanations, a new account is proposed for distinguishing between laws and accidental generalizations (LAG). Among the new consequences of this proposal it is proved that any explanation of a contingent generalization shows that the generalization is not accidental. The second part involves physical theories, their modality, and their explanatory power. In particular, it is shown that (1) Each theory has a theoretical implication structure associated with it, such that there are new physical modal operators on these structures and also special modal entities that are in these structures. A special subset of the physical modals, the nomic modals are associated with the laws of theories. (2) The familiar idea that theories always explain laws by deduction of them has to be seriously modified in light of the fact that there are a host of physical theories (including for example, Newtonian Classical mechanics, Hamiltonian, and Lagrangian theory, and probability theory) that we believe are schematic (they do not have any truth value). Nevertheless, we think that there is a kind of non-deductive explanation and generality that they achieve by subsumtion under a schema.


Relatvization of Laws Philosophy Accidental Generalizations Ambiguity of Counterfactual Connection Gentzen Modal Operators Modality of Theories Philosophy Modality of Laws Philosophy Theories and Magnitude Spaces Philosophy Hilbert's Architectural Structuralism Schematic Theories Philosophy Explanatory Subsumtion of Laws The Hempel model Philosophy Non-accidental generalizations Philosophy

Authors and affiliations

  • Arnold Koslow
    • 1
  1. 1.Department of Philosophy, The Graduate CenterCity University of New YorkNew YorkUSA

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