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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.
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.
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