Philosophy of Mathematics


Book Description

The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.




Illustrations of the Logic of Science


Book Description

Charles Peirce’s Illustrations of the Logic of Science is an early work in the philosophy of science and the official birthplace of pragmatism. It contains Peirce’s two most influential papers: “The Fixation of Belief” and “How to Make Our Ideas Clear,” as well as discussions on the theory of probability, the ground of induction, the relation between science and religion, and the logic of abduction. Unsatisfied with the result and driven by a constant, almost feverish urge to improve his work, Peirce spent considerable time and effort revising these papers. After the turn of the century these efforts gained significant momentum when Peirce sought to establish his role in the development of pragmatism while distancing himself from the more popular versions that had become current. The present edition brings together the original series as it appeared in Popular Science Monthly and a selection of Peirce’s later revisions, many of which remained hidden in the mass of messy manuscripts that were left behind after his death in 1914.




Mathematical Philosophy


Book Description

Charles Sanders Peirce was an American philosopher, logician, mathematician, and scientist sometimes known as "the father of pragmatism," and respected for his contributions to logic, mathematics, philosophy, scientific methodology, and semiotics. The New Elements focuses on mathematics--on pure mathematics, the pedagogy of mathematics, the logic, history, and philosophy of mathematics. Peirce argued that mathematics studies purely hypothetical objects and is not just the science of quantity but is more broadly the science which draws necessary conclusions; that mathematics aids logic, not vice versa; and that logic itself is part of philosophy and is the science about drawing conclusions.




Charles S. Peirce and the Philosophy of Science


Book Description

A compilation of selected papers presented at the 1989 Charles S. Pierce International Congress Interest in Charles Sanders Peirce (1839-1914) is today worldwide. Ernest Nagel of Columbia University wrote in 1959 that "there is a fair consensus among historians of ideas that Charles Sanders Peirce remains the most original, versatile, and comprehensive philosophical mind this country has yet produced." The breadth of topics discussed in the present volume suggests that this is as true today as it was in 1959. Papers concerning Peirce's philosophy of science were given at the Harvard Congress by representatives from Italy, France, Sweden, Finland, Korea, India, Denmark, Greece, Brazil, Belgium, Spain, Germany, and the United States. The Charles S. Peirce Sesquicentennial International Congress opened at Harvard University on September 5, 1989, and concluded on the 10th—Peirce's birthday. The Congress was host to approximately 450 scholars from 26 different nations. The present volume is a compilation of selected papers presented at that Congress. The philosophy of science and its logic are themes in the work of Charles Peirce that have been of greatest interest to scholars. Peirce was himself a physical scientist. He worked as an assistant at the Harvard Astronomical Observatory from 1869 to 1872 and made a series of astronomical observations there from 1872 to 1875. Solon I. Bailey says of these observations, "The first attempt at the Harvard Observatory to determine the form of the Milky Way, or the galactic system, was made by Charles S. Peirce....The investigation was of a pioneer nature, founded on scant data." Peirce also made major contributions in fields as diverse as mathematical logic and psychology. C. I. Lewis has remarked that "the head and font of mathematical logic are found in the calculus of propositional functions as developed by Peirce and Schroeder." Peirce subsequently invented, almost from whole cloth, semiotics - the science of the meaning of signs. Ogden and Richards, the British critics, say that "by far the most elaborate and determined attempt to give an account of signs and their meanings is that of the American logician C. S. Peirce, from whom William James took the idea and the term Pragmatism, and whose Algebra of Dyadic Relations was developed by Schroeder."




Collected Papers of Charles Sanders Peirce


Book Description

With the present volume, the presentation of Peirce's philosophical thought reaches its metaphysical culmination. It embodies the effort of the founder of Pragmatism to develop a metaphysics which will conform to the canons of scientific method, and at the same time provide for real novelty, objective universal laws of nature, cosmical and biological evolution, feeling, and mind. To his previously published papers on chance, continuity, God, and other metaphysical themes, the editors have added a considerable number of unpublished manuscripts which clarify and develop the implications of Peirce's fundamental world-view. The volume contains those speculative views of Peirce which so deeply influenced his contemporaries, including his discussions of tychism and synechism and of the religious aspects of metaphysics.







Collected Papers of Charles Sanders Peirce


Book Description

The first six volumes of the Collected Papers of Charles Sanders Peirce included Peirce's main writings in general philosophy, logic (deductive, inductive, and symbolic), pragmatism, and metaphysics. Volumes VII and VIII are a continuation of this series. Originally published as two separate volumes, they now appear in one book as part of the Belknap Press edition. Volume VII contains papers on experimental science, scientific method, and philosophy of mind. Volume VIII contains selections from Peirce's reviews and correspondence and a bibliography of his published works, speeches and correspondence, and works by other authors which quote or describe manuscripts by Peirce which are not included in Volumes I-VIII of Collected Papers. As is true of the series as a whole, the material in these volumes is not readily accessible elsewhere. Many of the manuscripts have never been published before, and the previously published material which is included is widely scattered in a number of journals. Peirce's work in experimental science played an important role in his life and in the formation of his philosophy, and Volume VII is designed to show how the principal focus of his attention shifted from this sphere to the methods of science and finally to speculative metaphysics. Thus it includes his only published article in experimental psychology and two short pieces on gravity as well as the most important part of "The Logic of 1873" (in which pragmatism was first formulated in writing); "The Logic of Drawing History from Ancient Documents," discussion of the historical method; "Economy of Research" (1879), containing many pertinent reflections on scientific methodology of interest to research directors today; and much more. America's first original philosopher and logician, and the founder of the philosophy of pragmatism, Peirce was also influential in shaping the thinking of such figures as William James and John Dewey. The reviews and correspondence contained in Volume VIII show his attitude toward these philosophies and illustrate the nature of his relationships with the great thinkers of his day. The bibliography in Volume VIII lists chronologically all of Peirce's known published works, giving a clear picture of the development of his thought from 1860 through 1911. It is more complete than any published so far in that many new items are included and items previously listed in different sources are here brought together. These volumes will be of great value to all persons interested in philosophy, scientific method, psychology, the methodology of history, and American studies in general.




The Philosophy of Peirce


Book Description