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Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis.

"One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist

The incredible success of quantum theory as a mathematical model makes it especially frustrating that we cannot agree on a plausible philosophical or metaphysical description of it. Some philosophers of science have noticed certain parallels between quantum theory and the philosophy of Thomas Aquinas, and these parallels are deepened and strengthened if the “observer” of modern physics is associated with the “intellect” of scholastic ontology. In this case we are talking about a human observer. But this type of observer has a unique quality that is not considered at all by either physics or scholastic philosophy—the human observer is mimetic and therefore “interdividual.” By taking this fundamental anthropological fact into account, it turns out that the critical gaps still separating Aquinas from modern physicists can be effectively closed, reconciling the realism of Aquinas with the empirical evidence of quantum mechanics. This book explores this new bridge between the physical and the human—a bridge essentially designed by scholastic theory, clarified by mimetic theory, and built by quantum theory—and the path it opens to that metaphysical understanding for which philosophers of modern science have been striving. It is an understanding, not merely of the physical but of physics in the fuller sense of what is real and what is true. Here the reader will find a physics that describes the natural world and our place as mimetic observers within it. 

Though the kinematics of the evolving universe became known decades ago, research into the physics of processes occurring in the expanding universe received a reliable observational and theoretical basis only in more recent years. These achievements have led in turn to the emergence of new problems, on which an unusually active assault has begun.

This second volume of Relativistic Astrophysics provides a remarkably complete picture of the present state of cosmology. It is a synthesis of the theoretical foundations of contemporary cosmology, which are derived from work in relativity, plasma theory, thermodynamics, hydrodynamics, and particle physics. It presents the theoretical work that explains, describes, and predicts the nature of the universe, the physical process that occur in it, the formation of galaxies, the synthesis of the light elements, and the cosmological singularity and the theory of gravitation.

This book, long and eagerly awaited, is essential for everyone whose work is related to cosmology and astrophysics.

Both a history and a metahistory, Representing Electrons focuses on the development of various theoretical representations of electrons from the late 1890s to 1925 and the methodological problems associated with writing about unobservable scientific entities.

Using the electron—or rather its representation—as a historical actor, Theodore Arabatzis illustrates the emergence and gradual consolidation of its representation in physics, its career throughout old quantum theory, and its appropriation and reinterpretation by chemists. As Arabatzis develops this novel biographical approach, he portrays scientific representations as partly autonomous agents with lives of their own. Furthermore, he argues that the considerable variance in the representation of the electron does not undermine its stable identity or existence.

Raising philosophical issues of contentious debate in the history and philosophy of science—namely, scientific realism and meaning change—Arabatzis addresses the history of the electron across disciplines, integrating historical narrative with philosophical analysis in a book that will be a touchstone for historians and philosophers of science and scientists alike.