Diamond: A Paradox Logic (2nd Edition)

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4-Valued Paraconsistent Logic
A01=Nathaniel S Hellerstein
Antistrephon
Author_Nathaniel S Hellerstein
Cantor's Diagonal Proof
Category=PBCD
Category=PBCH
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Liar
Paradoxes

Product details

  • ISBN 9789814287135
  • Publication Date: 27 Jan 2010
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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This book is about “diamond”, a logic of paradox. In diamond, a statement can be true yet false; an “imaginary” state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued Boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer-Brown “modulator”; and Metamathematical Dilemma, which relates diamond to Gödelian metamathematics and dilemma games.

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