LEADER 03208nam 2200625 a 450 001 9910780888103321 005 20230725041524.0 010 $a1-282-76145-5 010 $a9786612761454 010 $a981-4287-14-8 035 $a(CKB)2490000000001808 035 $a(EBL)731273 035 $a(OCoLC)671654853 035 $a(SSID)ssj0000415840 035 $a(PQKBManifestationID)11262081 035 $a(PQKBTitleCode)TC0000415840 035 $a(PQKBWorkID)10418384 035 $a(PQKB)10650052 035 $a(MiAaPQ)EBC731273 035 $a(WSP)00007446 035 $a(Au-PeEL)EBL731273 035 $a(CaPaEBR)ebr10422300 035 $a(CaONFJC)MIL276145 035 $a(EXLCZ)992490000000001808 100 $a20090610d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiamond$b[electronic resource] $ea paradox logic /$fN.S. Hellerstein 205 $a2nd ed. 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2010 215 $a1 online resource (312 p.) 225 1 $aK & E series on knots and everything ;$vv. 23 300 $aDescription based upon print version of record. 311 $a981-4287-13-X 320 $aIncludes bibliographical references (p. 287-289) and index. 327 $aContents; Introduction; Part One: Paradox Logic; 1. Paradox; 2. Diamond; 3. Diamond Algebra; 4. Self-Reference; 5. Fixedpoint Lattices; 6. Limit Logic; 7. Paradox Resolved; 8. The Continuum; 9. Clique Theory; Part Two: The Second Paradox; 10. Orthogonal Logics; 11. Interferometry; 12. How to Count to Two; Part Three: Metamathematical Dilemma; 13. Metamathematics; 14. Dilemma; Notes; 1E. Chaos on the Boundary; 2F. Interpretations; 3B. Differentials; 3C. Categoricity?; 4A. A Parenthetical Remark about the Parenthetical Remark; 5D. Complementarity Santa and Grinch; General Lattice Emulation? 327 $a9A. ContraWell-Foundedness11A. Permeable Forms and Direct Distribution; 10D. Double Diffraction; 12B. Other Modulators; 13A. Tertullian Quanta; 14C. Diamond Values for Dilemma?; Bibliography; Index 330 $aThis book is about 'diamond', a logic of paradox. In diamond, a statement can be true yet false; an 'imaginary' state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer-Brown modulator""; and Metamathematical D 410 0$aK & E series on knots and everything ;$vv. 23. 606 $aLogic, Symbolic and mathematical 606 $aParadox 615 0$aLogic, Symbolic and mathematical. 615 0$aParadox. 676 $a511.3 700 $aHellerstein$b N. S$g(Nathaniel S.)$01573788 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910780888103321 996 $aDiamond$93849679 997 $aUNINA