Modern Logic

  • Mod. Log.
  • Volume 1, Number 2-3 (1991), 174-205.

Ernst Schröder und die ``pasigraphischen Systeme'' von Peano und Peirce

Volker Peckhaus

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Abstract

It is shown that Schröder's discussion of the logic of relatives coined by Peirce led to a deep change in his conception of the role of logic in founding mathematics. His algebra and logic of relatives became the pasigraphic key for the creation of a scientific universal language, which he had already demanded programmatically in his early semiotic writings, and which should also become the instrument to set up ал "absolute algebra", a general theory of connexion. Therefore Schröder's logical writings in the years between 1895 and 1901 do not chiefly deal with the application of mathematical methods to the analysis of logic, but, rather in accordance with the basic logistic thesis, with the description and analysis of mathematics by the means of logic. Schröder's turn to logicism is documented with published and up to now unpublished testimonies. The relevant parts of Schröder's correspondence with Paul Carus and Felix Klein are edited in the appendices.

Article information

Source
Mod. Log., Volume 1, Number 2-3 (1991), 174-205.

Dates
First available in Project Euclid: 6 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.rml/1204834615

Mathematical Reviews number (MathSciNet)
MR1093554

Zentralblatt MATH identifier
0735.01007

Subjects
Primary: 03-03: Historical (must also be assigned at least one classification number from Section 01)
Secondary: 01A55: 19th century

Citation

Peckhaus, Volker. Ernst Schröder und die ``pasigraphischen Systeme'' von Peano und Peirce. Mod. Log. 1 (1991), no. 2-3, 174--205. https://projecteuclid.org/euclid.rml/1204834615


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