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Diamond = a paradox logic /
~
Hellerstein, N. S.
Diamond = a paradox logic /
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Diamond/ N.S. Hellerstein.
其他題名:
a paradox logic /
作者:
Hellerstein, N. S.
出版者:
New Jersey :World Scientific, : c2010.,
面頁冊數:
1 online resource (xiv, 294 p.) :ill. :
標題:
Logic, Symbolic and mathematical. -
電子資源:
http://www.worldscientific.com/worldscibooks/10.1142/7446#t=toc
ISBN:
9789814287142 (electronic bk.)
Diamond = a paradox logic /
Hellerstein, N. S.
Diamond
a paradox logic /[electronic resource] :N.S. Hellerstein. - 2nd ed. - New Jersey :World Scientific,c2010. - 1 online resource (xiv, 294 p.) :ill. - K & E series on knots and everything ;v. 23. - K & E series on knots and everything ;v. 23..
Includes bibliographical references (p. 287-289) and index.
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.
ISBN: 9789814287142 (electronic bk.)Subjects--Topical Terms:
93197
Logic, Symbolic and mathematical.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA9 / .H396 2010eb
Dewey Class. No.: 511.3
Diamond = a paradox logic /
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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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http://www.worldscientific.com/worldscibooks/10.1142/7446#t=toc
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