Geometry and generality in Frege's philosophy of arithmetic.

DOI10.1007/BF01064120zbMath1059.03512MaRDI QIDQ1578773

Jamie Tappenden

Publication date: 7 September 2000

Published in: Synthese (Search for Journal in Brave)

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 20th century (01A60) Philosophical and critical aspects of logic and foundations (03A05) History of mathematical logic and foundations (03-03) History of mathematics in the 19th century (01A55)

Related Items

Theorems as Constructive Visions, The curious neglect of geometry in modern philosophies of mathematics, Frege on intuition and objecthood in projective geometry, What did Frege take Russell to have proved?, Poincaré on the Foundation of Geometry in the Understanding, From geometry to phenomenology, Computability and the morphological complexity of some dynamics on continuous domains, LOGICAL CONTEXTUALITY IN FREGE, Frege's philosophy of geometry, Frege on axioms, indirect proof, and independence arguments in geometry: Did Frege reject independence arguments?

Cites Work

• Frege against the Booleans
• The ideas of Hermann Grassmann in the context of the mathematical and philosophical tradition since Leibniz
• Riemann's contribution to differential geometry
• Preliminary notes on the historical significance of quantification and of the axioms of choice in the development of mathematical analysis
• Frege and the rigorization of analysis
• The axiomatization of arithmetic
• The physicalist tradition in early nineteenth century French geometry
• H. Grassmann's 1844Ausdehnungslehreand Schleiermacher'sDialektik
• Hintikka et Sandu versus Frege in re Arbitrary Functions
• Extending Knowledge and `Fruitful Concepts': Fregean Themes in the Foundations of Mathematics
• Frege: The Royal Road from Geometry
• Logic as Calculus and Logic as Language
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