Article ID: CBB855367059

Abstraction and Generalization in the Logic of Science: Cases from Nineteenth-Century Scientific Practice (2021)

unapi

Abstraction and generalization are two processes of reasoning that have a special role in the construction of scientific theories and models. They have been important parts of the scientific method ever since the nineteenth century. A philosophical and historical analysis of scientific practices shows how abstraction and generalization found their way into the theory of the logic of science of the nineteenth-century philosopher Charles S. Peirce. Our case studies include the scientific practices of Francis Galton and John Herschel, who introduced composite photographs and graphical methods, respectively, as technologies of generalization and thereby influenced Peirce’s logic of abstraction. Herschel’s account of generalization is further supported by William Whewell, who was very influential on Peirce. By connecting Herschel’s scientific technology of abstraction to Peirce’s logical technology of abstraction—namely, diagrams—we highlight the role of judgments in scientific observation by hypostatic abstractions. We also relate Herschel’s discovery-driven logic of science and Peirce’s open-ended diagrammatic logic to the use of models in science. Ultimately, Peirce’s theory of abstraction is a case of showing how logic applies to reality.

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Authors & Contributors
Kourany, Janet A.
French, Steven
Huggett, Nick
Nersessian, Nancy J.
Hacking, Ian
Keller, Evelyn Fox
Journals
Philosophy of Science
Synthese
British Journal for the Philosophy of Science
Studies in Dialectics of Nature
Dianoia: Annali di storia della filosofia
Isis: International Review Devoted to the History of Science and Its Cultural Influences
Publishers
Cambridge University Press
Kluwer Academic
Oxford University Press
Concepts
Philosophy of science
Explanation; hypotheses; theories
Models and modeling in science
Logic
Abstraction
Visual representation; visual communication
People
Peirce, Charles Sanders
Herschel, John Frederick William
Maxwell, James Clerk
Chu, Tsai-Yu
Venn, John
Lipton, Peter
Time Periods
19th century
20th century, early
20th century
Ming dynasty (China, 1368-1644)
Renaissance
Medieval
Places
China
Institutions
International Union of Pure and Applied Chemistry
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