Charles Sanders Peirce

Introduction

Charles Sanders Peirce is the American polymath whose work in the late nineteenth and early twentieth centuries founded pragmatism, made fundamental contributions to modern formal logic (independently of and partly anticipating Frege), established the discipline of semiotics, and produced original work in metaphysics, the philosophy of science, and the foundations of mathematics. He is also the most institutionally and personally unfortunate major American philosopher: he held no academic position after his dismissal from Johns Hopkins in 1884, published comparatively little during his lifetime, and died in poverty.

Peirce's reputation has been transformed since his death. The publication of his manuscripts (the Collected Papers in eight volumes, 1931–58; the chronological Writings project at Indiana, 1982–, still in progress) revealed a body of work whose depth and originality had been obscured by the conditions of its composition. The contemporary scholarly consensus is that Peirce is one of the most important American philosophers and the most rigorous of the pragmatist founders.

Life

Charles Sanders Peirce was born in 1839 in Cambridge, Massachusetts, the son of the Harvard mathematician Benjamin Peirce. He was educated by his father from an early age in mathematics, logic, and the natural sciences and was already a mathematician by his teens. He took his BA from Harvard in 1859 and his MA in 1862; his ScB in chemistry from the Lawrence Scientific School followed in 1863 summa cum laude.

The early professional career was at the U.S. Coast and Geodetic Survey, where he worked from 1859 to 1891 as a scientific researcher specializing in geodesy, pendulum experiments, and astronomy. The Survey work produced substantive scientific contributions (Peirce's pendulum work was internationally recognized; he developed the use of wavelengths of light as units of length, anticipating the redefinition of the meter) and gave him a steady income that supported his philosophical work.

The academic career was much briefer and ended badly. From 1879 to 1884, Peirce held a part-time lectureship in logic at Johns Hopkins, where he taught the first generation of American academic logicians and produced some of his most important early work. He was abruptly dismissed in 1884 for reasons that are still partly contested but that involved his irregular personal life (he had divorced his first wife and was already living with the woman who became his second). The dismissal effectively ended his academic career; he never held another university position.

The later years were spent at Arisbe, the farm in Milford, Pennsylvania, that he and his second wife Juliette purchased in 1888. The Survey dismissed him in 1891, leaving him with no steady income; the period from 1891 to his death in 1914 was spent in deepening poverty, supported intermittently by friends (especially William James, who became his patron) and producing the vast body of manuscripts that the posthumous editions have made available.

He died in 1914 at Arisbe of cancer, having published only a small portion of his philosophical work. The manuscripts left behind — some 80,000 sheets, organized neither by Peirce nor by his immediate successors — became the basis of his posthumous reputation.

The problem he worked on

Peirce's intellectual project, across multiple decades and many disciplines, was the systematic articulation of a rigorous account of inquiry. The account was supposed to do justice to several things simultaneously: the actual practice of empirical science (which Peirce knew intimately from his Survey work), the formal structures of logical inference (in which he made fundamental contributions), the semiotic structures by which any inquiry must operate (which he was the first to systematize), and the metaphysical conditions under which inquiry can succeed (which led him to a sophisticated objective idealism in the late work).

The organizing question is how genuine inquiry actually advances knowledge. Peirce's answer integrates the pragmatic maxim (the meaning of a concept consists in its conceivable practical effects), the doctrine of fallibilism (no belief is immune to revision), the analysis of inference into deduction, induction, and abduction (Peirce's term for the formation of hypotheses), the account of inquiry as fundamentally communal (no individual can verify; verification belongs to the community of inquirers across time), and the convergence theory of truth (truth is what inquiry would converge on at the ideal limit). The integration is unique in American philosophy and more rigorous than what William James made of similar materials.

Contributions

The pragmatic maxim

Peirce's most-popularized contribution and the founding doctrine of pragmatism. Stated in the 1878 paper How to Make Our Ideas Clear: Consider what effects, which might conceivably have practical bearings, we conceive the object of our conception to have. Then, our conception of these effects is the whole of our conception of the object. The maxim provides a method for clarifying concepts: translate the concept into the practical effects we would expect if it were instantiated; if no practical effects, the concept is empty.

Peirce's relationship to the subsequent fortunes of pragmatism was complicated. The 1878 paper attracted little attention at the time; it was William James's 1898 lecture Philosophical Conceptions and Practical Results that brought pragmatism to public attention. James's articulation of the doctrine, especially of the theory of truth, departed from Peirce's more rigorous formulations in directions Peirce came to disavow. He eventually renamed his own position pragmaticism ("a word ugly enough to be safe from kidnappers") to distinguish it from James's looser usage. The contemporary scholarly recovery, especially through Cheryl Misak, has argued that Peirce's more rigorous version is the defensible core of pragmatism.

Formal logic

Peirce made fundamental contributions to modern formal logic, partly independently of and partly anticipating Frege's work in Germany. His 1880 paper On the Algebra of Logic developed the propositional and quantificational calculi; his 1885 paper On the Algebra of Logic: A Contribution to the Philosophy of Notation introduced quantifiers using the notation $\Sigma$ and $\Pi$ that became standard in mathematical logic. He developed the truth-functional account of propositional connectives, the theory of relations, and work on the logic of relations that anticipated much of subsequent formal logic.

Peirce's logical work was not widely known in his lifetime; Frege's Begriffsschrift (1879) was published a year before Peirce's first major paper on the algebra of logic and is generally credited as the founding document of modern formal logic. The historical record is more complex than the standard story suggests; Peirce's contributions were and partly independent.

Semiotics

Peirce is the founder of the modern discipline of semiotics — the systematic study of signs and signification. His semiotic theory is one of the most extensive and most influential, alongside the parallel theory of Ferdinand de Saussure. Peirce's analysis distinguishes three kinds of signs (icons, indices, symbols) and three relations of any sign (sign, object, interpretant), and develops a taxonomy of sign-types and sign-relations that has been continuously influential in linguistics, anthropology, literary theory, and the philosophy of language.

The semiotic theory connects to Peirce's broader philosophy through the doctrine that all thought is in signs — there is no pre-semiotic content of consciousness that signs subsequently express. The doctrine has been continuously engaged by phenomenology, structuralism, and the broader twentieth-century theory of language.

Abduction and the theory of inquiry

Peirce's distinctive contribution to the theory of inference is the analysis of abduction (also called hypothesis in his earlier work and retroduction in some later passages) as a third kind of inference alongside deduction and induction. Abduction is the formation of a hypothesis to explain observed phenomena — the creative leap by which a candidate explanation is constructed for testing. Peirce treated abduction as the only kind of inference that introduces new ideas; deduction unfolds what is already in premises, induction generalizes from observed cases, but only abduction produces the hypotheses that the other two modes then work with.

The analysis of inquiry as a structured movement through abduction, deduction, and induction is one of Peirce's most influential single contributions to the philosophy of science. The contemporary work on inference to the best explanation (Peter Lipton, Gilbert Harman) is recognizably descended from the Peircean analysis of abduction.

Fallibilism and the community of inquirers

Peirce's epistemology is fallibilist in a precise sense: no individual belief is immune to revision, and the verification of beliefs belongs to the community of inquirers across indefinite time rather than to any individual inquirer at any moment. The doctrine has the practical consequence that intellectual virtue requires a willingness to revise and a recognition that inquiry is essentially communal. It also grounds the convergence theory of truth: truth is what the indefinite community of inquirers would converge on at the ideal limit; finite inquirers operate provisionally with the best beliefs that the inquiry has so far supported.

Key works

Most of Peirce's important work was published posthumously. The major lifetime publications include:

• Illustrations of the Logic of Science (six papers in Popular Science Monthly, 1877–78), including The Fixation of Belief and How to Make Our Ideas Clear.
• On the Algebra of Logic (1880, 1885) — the major contributions to formal logic.
• A Guess at the Riddle (composed in the 1880s, partially published) — the early statement of the cosmological metaphysics.
• The Monist Metaphysical Series (five papers, 1891–93) — the major statement of his late metaphysical cosmology.
• Reasoning and the Logic of Things (Cambridge Conferences Lectures, 1898; published 1992).

The posthumous editions include the Collected Papers of Charles Sanders Peirce (Harvard, 8 volumes, 1931–58), the chronological Writings of Charles S. Peirce (Indiana, 30+ projected volumes, begun 1982), and the Essential Peirce (two volumes, 1992, 1998) as the standard scholarly sampler.

Influences and influenced

Influenced by: his father Benjamin Peirce (the mathematician); Kant (Peirce was a serious student of Kant throughout his career); the Scottish common-sense tradition (Thomas Reid); the German Romantic and Idealist tradition; Aristotle and the Scholastic tradition (Peirce's late work has scholastic elements); Charles Darwin (the evolutionary cosmology of Peirce's late metaphysics).

Influenced: William James (Peirce's friend and patron, who developed pragmatism in directions Peirce came to disavow); John Dewey and the broader pragmatist tradition; the early generation of American academic logicians (Christine Ladd-Franklin, Allan Marquand, John Dewey, all his Johns Hopkins students); Josiah Royce (who engaged Peirce's semiotics extensively); the structuralist and semiotic tradition through the parallel work of Roman Jakobson, who explicitly engaged Peirce; the contemporary analytic philosophy of science (especially the literature on inference to the best explanation); the neo-pragmatist revival through Hilary Putnam, Cheryl Misak, and Robert Brandom; the contemporary semiotic tradition through Umberto Eco and others.

Reception

Peirce's reception during his lifetime was modest. The 1878 papers attracted little attention; his Johns Hopkins teaching produced a small but distinguished group of students; his work for the Survey was internationally recognized in geodesy but had no philosophical audience. The dismissals from Johns Hopkins (1884) and the Survey (1891) effectively ended his contact with the institutional life of the discipline.

The early posthumous reception was shaped by his sister Helen Peirce Ellis and by Josiah Royce's lectures on Peirce after his death. The major scholarly transformation came with the publication of the Collected Papers (Harvard, 1931–58), which made the manuscripts available in a form (though imperfect by current scholarly standards) that allowed serious engagement. The mid-twentieth-century recovery was the work of Max Fisch, Thomas Goudge, and the eventual establishment of the Peirce Edition Project at Indiana University in 1976.

The contemporary scholarly engagement has been substantial. Cheryl Misak's Truth and the End of Inquiry (1991) and The American Pragmatists (2013), Christopher Hookway's Peirce (1985) and Truth, Rationality, and Pragmatism (2000), Robert Brandom's engagement in Making It Explicit (1994) and elsewhere, T. L. Short's Peirce's Theory of Signs (2007), and the work of Don Howard, Susan Haack, and Vincent Colapietro have transformed Peirce scholarship. The Transactions of the Charles S. Peirce Society (since 1965) is the dominant journal; the international Peirce Society documents continuing engagement.

Continuing engagement

Active scholarly debates concern the relation between Peirce and James (especially on the theory of truth), the systematic interpretation of Peirce's late metaphysics, the relation between his logic and semiotics, the contemporary applicability of his theory of abduction, and his place in the history of modern formal logic relative to Frege. The completion of the chronological Indiana edition is the major ongoing scholarly project. Major recent monographs include Robert Lane's Peirce on Realism and Idealism (2018), Catherine Legg's work on diagrammatic reasoning, and Mariam Thalos's engagement with Peircean inquiry. The intersection with cognitive science (especially work on abductive reasoning by Lorenzo Magnani and others) has produced recent literature.

Further reading

• Pragmatism — the tradition he founded
• William James — his friend and patron whose looser pragmatism Peirce came to disavow
• Belief Systems — the broader concept Peirce's Fixation of Belief helps articulate
• Coherence Without Certainty — the epistemic posture Peirce's fallibilism most directly articulates
• Kant — the philosophical predecessor Peirce engaged throughout his career

The American polymath who founded pragmatism, made fundamental contributions to formal logic and semiotics, and produced one of the most original and underappreciated bodies of philosophical work in the nineteenth century.