03241nam 2200637 a 450 991045611250332120200520144314.01-282-76145-59786612761454981-4287-14-8(CKB)2490000000001808(EBL)731273(OCoLC)671654853(SSID)ssj0000415840(PQKBManifestationID)11262081(PQKBTitleCode)TC0000415840(PQKBWorkID)10418384(PQKB)10650052(MiAaPQ)EBC731273(WSP)00007446(Au-PeEL)EBL731273(CaPaEBR)ebr10422300(CaONFJC)MIL276145(EXLCZ)99249000000000180820090610d2010 uy 0engur|n|---|||||txtccrDiamond[electronic resource] a paradox logic /N.S. Hellerstein2nd ed.Singapore ;Hackensack, NJ World Scientificc20101 online resource (312 p.)K & E series on knots and everything ;v. 23Description based upon print version of record.981-4287-13-X Includes bibliographical references (p. 287-289) and index.Contents; 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?9A. ContraWell-Foundedness11A. Permeable Forms and Direct Distribution; 10D. Double Diffraction; 12B. Other Modulators; 13A. Tertullian Quanta; 14C. Diamond Values for Dilemma?; Bibliography; IndexThis 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 DK & E series on knots and everything ;v. 23.Logic, Symbolic and mathematicalParadoxElectronic books.Logic, Symbolic and mathematical.Paradox.511.3Hellerstein N. S(Nathaniel S.)939438MiAaPQMiAaPQMiAaPQBOOK9910456112503321Diamond2117866UNINA