Immanent Reasoning or Equality in Action: A Plaidoyer for the Play Level

0493009 - FLÚ 2019 RIV CH eng B - Monography
Rahman, S. - McConaughey, Z. - Klev, Ansten - Clerbout, N.
Immanent Reasoning or Equality in Action: A Plaidoyer for the Play Level.
Cham: Springer International Publishing, 2018. 332 s. Logic, Argumentation & Reasoning. Interdisciplinary Perspectives from the Humanities and Social Sciences, 18. ISBN 978-3-319-91148-9. ISSN 2214-9120
Institutional support: RVO:67985955
Keywords : Constructive Type Theory * Dialogical Logic * Argumentation and Logic * Lorenzen's Games * Logic and Logic * Philosophy of Logic * Philosophy of Mathematics * Logic and Interaction
OECD category: Philosophy, History and Philosophy of science and technology

This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory (CTT). The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to better understand the concepts under discussion. One of the chief ideas animating this study is that the dialogical understanding of definitional equality and its execution provide both a simple and a direct way of implementing the CTT approach within a game-theoretical conception of meaning. In addition, the importance of the play level over the strategy level is stressed, binding together the matter of execution with that of equality and the finitary perspective on games constituting meaning. According to this perspective the emergence of concepts are not only games of giving and asking for reasons (games involving Why-questions), they are also games that include moves establishing how it is that the reasons brought forward accomplish their explicative task. Thus, immanent reasoning games are dialogical games of Why and How.
Permanent Link: http://hdl.handle.net/11104/0286528