Understanding and ad hoc Explanation: A Case of Russell’s Reducibility Axiom

Understanding and ad hoc Explanation: A Case of Russell’s Reducibility Axiom

The article examines the common interpretation of the axiom of reducibility in Principia Mathematica according to which the axiom cannot be considered as logical, which casts doubt on the success of the program of logicism. In particular, the ad hoc character attributed to the reducibility axiom...

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Bibliographic Details
Main Authors: V. V. Tselishchev, A. V. Khlebalin
Format: Article
Language:English
Published: Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education 2022-05-01
Series:Омский научный вестник: Серия "Общество. История. Современность"
Subjects:
branched type theory
axiom of reducibility
explanatory scheme
understanding
intensionality of mathematics
Online Access:https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2022/%D0%A2.%207,%20%E2%84%96%202%20(%D0%9E%D0%98%D0%A1)/102-107%20%D0%A6%D0%B5%D0%BB%D0%B8%D1%89%D0%B5%D0%B2%20%D0%92.%20%D0%92.,%20%D0%A5%D0%BB%D0%B5%D0%B1%D0%B0%D0%BB%D0%B8%D0%BD%20%D0%90.%20%D0%92..pdf
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