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Immanent Reasoning or Equality in Action

A Plaidoyer for the Play Level

Shahid Rahman author Zoe McConaughey author Ansten Klev author Nicolas Clerbout author

Format:Hardback

Publisher:Springer International Publishing AG

Published:28th Aug '18

Currently unavailable, and unfortunately no date known when it will be back

Immanent Reasoning or Equality in Action cover

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.

“The book is of a valuable contribution to the literature on DL and CTT, and so far it can be very useful for those intending to know much about these two philosophically interesting logical frameworks. … The book is no doubt a highly valuable contribution to the studies on logic and philosophy of logic.” (Mohammad Shafiei, Analisis Filosofico, Vol. 39 (2), November, 2019)

ISBN: 9783319911489

Dimensions: unknown

Weight: 694g

332 pages

1st ed. 2018