PL EN


2005 | 12 | 2 | 121-140
Article title

LOGICISM AND PARADOX II.

Authors
Title variants
Languages of publication
CS
Abstracts
EN
This is a sequel to my article devoted to the development of Fregean logicism. The first part dealt with its 'rise and fall', i. e. its initial success in analyzing the concept of number and its subsequent fall at Russell's antinomy. In the course of the previous article we did not (have to) leave the area of the classical Fregean research. On the contrary, Russell's paradox and its analysis bring us now to the second part of the whole story - the (alleged) resurrection of the logistic idea in the works of Crispin Wright and George Boolos. We find ourselves in the middle of a neo-Fregean - structuralistic - approach based on the techniques of modern model-theoretical logic and (meta)mathematics. We do not want to criticize it yet, but only present some of the most important results such as the consistency of Hume's Principle or categoricity of Frege's (and Peano's) second-order arithmetic.
Contributors
author
  • V. Kolman, Katedra logiky, Filozofické fakulty Karlovy Univerzity, Celetná 20, 116 42 Praha 1, Czech Republic
References
Document Type
Publication order reference
Identifiers
CEJSH db identifier
06SKAAAA00882105
YADDA identifier
bwmeta1.element.2861d68b-d85e-315f-824d-3894ac1e0ea4
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