This volume investigates what is beyond the Principle of Non-Contradiction. It features 13 papers on the foundations of reasoning, including logical systems and philosophical considerations. Coverage brings together a cluster of issues centered upon the variety of meanings of consistency, contradiction, and related notions.
Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths.
Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.
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"'Contradictions, from Consistency to Inconsistency' is a collection of interesting papers in the study of the notions of contradiction, inconsistency and triviality. ... Carnielli and Malinowski have made it sure that a broad range of readers will benefit from the close study of many of its chapters. ... The book provides us with papers for mathematically-oriented readers as well." (Pedro Merlussi, Studia Logica, Vol. 107, 2019)
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