عنوان

Diamond :

شابک

9789814287142

شابک

9814287148

شابک اشتباه

9789814287135

شابک اشتباه

981428713X

عنوان اصلي

Diamond :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a paradox logic /

نام نخستين پديدآور

N.S. Hellerstein.

وضعيت ويراست

2nd ed.

محل نشرو پخش و غیره

New Jersey :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2010.

نام خاص و کميت اثر

1 online resource (xiv, 294 pages) :

ساير جزييات

illustrations

عنوان فروست

K & E series on knots and everything ;

مشخصه جلد

v. 23

متن يادداشت

Includes bibliographical references (pages 287-289) and index.

متن يادداشت

1. Paradox. A. The liar. B. The anti-diagonal. C. Russell's paradox. D. Santa and the grinch. E. Antistrephon. F. Parity of infinity. G. The heap. H. Finitude. I. Game paradoxes. J. Cantor's paradox. K. Paradox of the boundary -- 2. Diamond. A. The buzzer. B. Diamond values. C. Harmonic functions. D. Gluts and gaps. E. Diamond circuits. F. Brownian forms. G. Boundary logic -- 3. Diamond algebra. A. Bracket algebra. B. Laws. C. Normal forms. D. Completeness -- 4. Self-reference. A. Re-entrance and fixedpoints. B. Phase order. C. The outer fixedpoints -- 5. Fixedpoint lattices. A. Relative lattices. B. Seeds and spirals. C. Shared fixedpoints. D. Examples -- 6. Limit logic. A. Limits. B. Limit fixedpoints. C. The halting theorem -- 7. Paradox resolved. A. The liar and the anti-diagonal. B. Russell's paradox. C. Santa and the grinch. D. Antistrephon. E. Infinity, finitude and the heap. F. Game paradoxes -- 8. The continuum. A. Cantor's paradox. B. Dedekind splices. C. Null quotients. D. Cantor's number. E. The line within the diamond. F. Zeno's theorem. G. Fuzzy chaos -- 9. Clique theory. A. Cliques. B. Clique equality. C. Clique axioms. D. Graph cliques. E. Clique circuits -- 10. Orthogonal logics. A. Analytic functions. B. Function types. C. Dihedral conjugation. D. Star logic. E. Harmonic projection. F. Diamond types? -- 11. Interferometry. A. Quadrature. B. Diffraction. C. Buzzers and toggles. D. Analytic diffraction. E. Diffracting "two ducks in a box" -- 12. How to count to two. A. Brownian and Kauffman modulators. B. Diffracting the modulators. C. Rotors, pumps and tapes. D. The ganglion -- 13. Metamathematics. A. Gödelian quanta. B. Meta-logic. C. Dialectic. D. Dialectical dilemma -- 14. Dilemma. A. Milo's trick. B. Prisoner's dilemma. C. Dialemma games. D. Dilemma diamond. E. Banker's dilemma. F. The unexpected departure.

بدون عنوان

0

متن يادداشت

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.

عنوان

Diamond.

شماره استاندارد بين المللي کتاب و موسيقي

9789814287135

موضوع مستند نشده

Logic, Symbolic and mathematical.

موضوع مستند نشده

Paradox.

موضوع مستند نشده

Logic, Symbolic and mathematical.

موضوع مستند نشده

MATHEMATICS-- Infinity.

موضوع مستند نشده

MATHEMATICS-- Logic.

موضوع مستند نشده

Paradox.

موضوع مستند نشده

MAT-- 016000

موضوع مستند نشده

MAT-- 018000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Hellerstein, N. S., (Nathaniel S.)

تاريخ عمليات

20200823232113.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y