Marc Lange - Böcker

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. This book also offers original accounts of several other varieties of non-causal scientific explanation. Dimensional explanations work by showing how some law of nature arises merely from the dimensional relations among the quantities involved. Really statistical explanations include explanations that appeal to regression toward the mean and other canonical manifestations of chance. Lange provides an original account of what makes certain mathematical proofs but not others explain what they prove. Mathematical explanation connects to a host of other important mathematical ideas, including coincidences in mathematics, the significance of giving multiple proofs of the same result, and natural properties in mathematics. Introducing many examples drawn from actual science and mathematics, with extended discussions of examples from Lagrange, Desargues, Thomson, Sylvester, Maxwell, Rayleigh, Einstein, and Feynman, Because Without Cause's proposals and examples should set the agenda for future work on non-causal explanation.

Laws of nature have long been thought to have special significance for aspects of scientific reasoning such as counterfactual conditionals, inductive projections, and scientific explanations. But the laws' distinctive roles in scientific reasoning have proved notoriously difficult to identify precisely, leading some philosophers even to suggest that there are no such roles. The aim of this book is to determine these roles and see what a law of nature must be in order for the laws to function as they do in scientific practice. Lange shows that the laws possess a uniquely broad range of invariance under counterfactual perturbations, a range that for the first time is characterised without appealing to the concept of a law. It is argued that the laws fail to supervene on the nonnomic facts, just as the rules governing chess fail to supervene on the moves made in a given actual game. It is also argued, against both regularity accounts and analyses of laws as relations among universals, that a law need not be associated with an exceptionless regularity. It is explained how a law of one scientific field (e.g. cardiology) can be an accident of another (e.g. fundamental physics). Special attention is paid to laws of biology and other 'special sciences', and it is argued that their distinctive range of invariance allows these fields to supply scientific explanations that are irreducible, even in principle, to explanations in terms of fundamental physics. Another special feature of this book is its emphasis on the distinction between laws of nature and physically necessary coincidences, a distinction crucial to the concept of natural kind. An account is also given of 'meta-laws', such as symmetry principles. Among the philosphers receiving special discussion are Lewis, Goodman, van Fraassen, Armstrong, Dretske, Earman, Mill, Fodor, Hempel, Giere, Putnam, Dennett, and Mackie.

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. Along the way, Lange discusses the relation between laws and objective chances, as well as such unjustly neglected topics as the completeness of the laws of physics and whether the laws of nature can change. Lange's elegant, engagingly written book is non-technical and suitable for undergraduate philosophers (and undergraduate scientists interested in the logical foundations of science). It is "must reading" for metaphysicians and philosophers of science working on laws, chance, counterfactuals, modality, or the philosophy of physics.

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. Along the way, Lange discusses the relation between laws and objective chances, as well as such unjustly neglected topics as the completeness of the laws of physics and whether the laws of nature can change. Lange's elegant, engagingly written book is non-technical and suitable for undergraduate philosophers (and undergraduate scientists interested in the logical foundations of science). It is "must reading" for metaphysicians and philosophers of science working on laws, chance, counterfactuals, modality, or the philosophy of physics.

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.

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. This book also offers original accounts of several other varieties of non-causal scientific explanation. Dimensional explanations work by showing how some law of nature arises merely from the dimensional relations among the quantities involved. Really statistical explanations include explanations that appeal to regression toward the mean and other canonical manifestations of chance. Lange provides an original account of what makes certain mathematical proofs but not others explain what they prove. Mathematical explanation connects to a host of other important mathematical ideas, including coincidences in mathematics, the significance of giving multiple proofs of the same result, and natural properties in mathematics. Introducing many examples drawn from actual science and mathematics, with extended discussions of examples from Lagrange, Desargues, Thomson, Sylvester, Maxwell, Rayleigh, Einstein, and Feynman, Because Without Cause's proposals and examples should set the agenda for future work on non-causal explanation.

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

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

Philosophy of Science: An Anthology assembles some of the finest papers in the philosophy of science since 1945, showcasing enduring classics alongside important and innovative recent work. Introductions by the editor highlight connections between selections, and contextualize the articles Nine sections address topics at the heart of philosophy of science, including realism and the character of scientific theories, scientific explanations and laws of nature, singular casusation, and the metaphysical implications of modern physics Provides an authoritative and accessible overview of the field

Philosophy of Science: An Anthology assembles some of the finest papers in the philosophy of science since 1945, showcasing enduring classics alongside important and innovative recent work. Introductions by the editor highlight connections between selections, and contextualize the articles Nine sections address topics at the heart of philosophy of science, including realism and the character of scientific theories, scientific explanations and laws of nature, singular casusation, and the metaphysical implications of modern physics Provides an authoritative and accessible overview of the field