Charles S. Peirce's Mathematical Logic and Philosophy


Book Description

Charles S. Peirce is generally regarded today as one of the most out-standing philosophers in American history, and especially as the inventor of pragmatism. Nevertheless, he also discovered several of the most important concepts of twentieth-century mathematical logic, including thequantifiers, the interpretation of first-order logic by means of relations, and the concept of logical consequence. There is very little general knowledge of Peirce's influence on the development of mathematical logic andalmost total ignorance of the details of that influence. The main technical results of this book establish that Peirce laid down the main elements of a framework for the model-theoretic line of development in mathematical logic.




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.




From Peirce to Skolem


Book Description

This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schröder, Leopold Löwenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.




Studies in the Logic of Charles Sanders Peirce


Book Description

This volume represents an important contribution to Peirce's work in mathematics and formal logic. An internationally recognized group of scholars explores and extends understandings of Peirce's most advanced work. The stimulating depth and originality of Peirce's thought and the continuing relevance of his ideas are brought out by this major book.




Peirce on Perception and Reasoning


Book Description

In this book, scholars examine the nature and significance of Peirce’s work on perception, iconicity, and diagrammatic thinking. Abjuring any strict dichotomy between presentational and representational mental activity, Peirce’s theories transform the Aristotelian, Humean, and Kantian paradigms that continue to hold sway today and forge a new path for understanding the centrality of visual thinking in science, education, art, and communication. This book is a key resource for scholars interested in Perice’s philosophy and its relation to contemporary issues in mathematics, philosophy of mind, philosophy of perception, semiotics, logic, visual thinking, and cognitive science.




The Normative Thought of Charles S. Peirce


Book Description

A collection of eleven essays on the moral philosophy of the American Polymath Charles S. Peirce (18391914). The essays cover the three normative sciences that Peirce distinguishes (esthetics, ethics, and logic), and their relation to metaphysics.




Reasoning and the Logic of Things


Book Description

Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.




Writings of Charles S. Peirce: Volume 5, 1884–1896


Book Description

"Highly recommended." —Choice " . . . an important event for the world of philosophy. For the first time we have available in an intelligible form the writings of one of the greatest philosophers of the past hundred years." —The Times Literary Supplement Volume 5 of this landmark edition covers an important transition in Peirce's life, marked by a rekindled enthusiasm for speculative philosophy. The writings include essays relating to his all-embracing theory of categories as well as papers on logic and mathematics.




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.




Charles S. Peirce


Book Description

Physicist, mathematician, and logician Charles S. Peirce (1839-1914) was America's first internationally recognized philosopher, the man who created the concept of "pragmatism," later popularized by William James. Charles S. Peirce: The Essential Writings is a comprehensive collection of the philosopher's writings, including: "Questions Concerning Certain Faculties Claimed for Man" (1868), which outlines his theory of knowledge; a review of the works of George Berkeley; papers from between 1877 and 1905 developing the ground of pragmatism and Peirce's theory of scientific inquiry; his basic concept of metaphysics (1891-93); and the important 1902 articles in Baldwin's dictionary on his later pragmatism (or pragmaticism), uniformity, and synechism. Included are Peirce's well-known essays: "The Fixation of Belief" and "How to Make Our Ideas Clear." Book jacket.