Because Without Cause: Non-Causal Explanations in Science and Mathematics

Because Without Cause: Non-Causal Explanations in Science and Mathematics

Not all scientific explanations work by describing causal connections between events or the world's overall causal structure. Some mathematical proofs explain why the theorems being proved hold. In this book, Marc Lange proposes philosophical accounts of many kinds of non-causal explanations in science and mathematics. These topics have been unjustly neglected in the philosophy of science and mathematics.

One important kind of non-causal scientific explanation is termed explanation by constraint. These explanations work by providing information about what makes certain facts especially inevitable - more necessary than the ordinary laws of nature connecting causes to their effects. Facts explained in this way transcend the hurly-burly of cause and effect. Many physicists have regarded the laws of kinematics, the great conservation laws, the coordinate transformations, and the parallelogram of forces as having explanations by constraint. This book presents an original account of explanations by constraint, concentrating on a variety of examples from classical physics and special relativity. Read more >


Laws and Lawmakers: Science, Metaphysics, and the Laws of Nature

Laws and Lawmakers: Science, Metaphysics, and the Laws of Nature

Laws of nature have long puzzled philosophers. What distinguishes laws from facts about the world that do not rise to the level of laws? How can laws be contingent and nevertheless necessary? In this brief, accessible study, Lange offers provocative and original answers to these questions. He argues that laws are distinguished by their necessity, which is grounded in primitive subjunctive facts (expressed by counterfactual conditionals). While recognizing that natural necessity is distinct from logical, metaphysical, and mathematical necessity, Lange explains how natural necessity constitutes a species of the same genus as those other varieties of necessity. Read more >

An Introduction to the Philosophy of Physics: Locality, Fields, Energy, and Mass

An Introduction to the Philosophy of Physics: Locality, Fields, Energy, and Mass

This book combines physics, philosophy, and history in a radical new approach to introducing the philosophy of physics. It leads the reader through several central problems in the philosophy of physics by tracing their connections to a single issue: whether a cause must be spatiotemporally local to its effect, or whether action at a distance can occur. Read more >

Natural Laws in Scientific Practice

Natural Laws in Scientific Practice

It is often presumed that the laws of nature have special significance for scientific reasoning. But the laws' distinctive roles have proven notoriously difficult to identify--leading some philosophers to question if they hold such roles at all. This study offers original accounts of the roles that natural laws play in connection with counterfactual conditionals, inductive projections, and scientific explanations, and of what the laws must be in order for them to be capable of playing these roles. Particular attention is given to laws of special sciences, levels of scientific explanation, natural kinds, ceteris-paribus clauses, and physically necessary non-laws. Read more >