Computing with concepts, computing with numbers: Llull, Leibniz, and Boole

Authors
Publication date 2010
Host editors
  • F. Ferreira
  • B. Löwe
  • E. Mayordomo
  • L. Mendes Gomes
Book title Programs, Proofs, Processes
Book subtitle 6th Conference on Computability in Europe, CiE 2010: Ponta Delgada, Azores, Portugal, June 30-July 4, 2010 : proceedings
ISBN
  • 9783642139611
ISBN (electronic)
  • 9783642139628
Series Lecture Notes in Computer Science
Event Programs, Proofs, Processes: 6th Conference on Computability in Europe (CiE 2010), Ponta Delgada, Azores, Portugal
Pages (from-to) 427-437
Publisher Berlin: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract We consider two ways to understand "reasoning as computation", one which focuses on the computation of concept symbols and the other on the computation of number symbols. We illustrate these two ways with Llull’s Ars Combinatoria and Leibniz’s attempts to arithmetize language, respectively. We then argue that Boole’s development of an algebra of reasoning was in a large part successful due to its ability to marry the two types of computation that are exemplified in Llull’s and Leibniz’s works.
Document type Conference contribution
Language English
Published at https://doi.org/10.1007/978-3-642-13962-8_47
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