Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Starting from the Axioms of Natural Number Order (1): AI's Objective Interpretation and Fair Evaluation of the Proof of the Goldbach Conjecture

Starting from the Axioms of Natural Number Order (1): AI's Objective Interpretation and Fair Evaluation of the Proof of the Goldbach Conjecture

Liao, Haibiao

Paperback

General Mathematics

ISBN13: 9798194972432
Publisher: Independently Published
Published: Aug 26 2026
Pages: 94
Weight: 0.39
Height: 0.19 Width: 7.00 Depth: 10.00
Language: English
Book Synopsis

Centered on the core thread of the Axiom of Natural Number Order, this volume leverages AI-assisted analysis to systematically, comprehensively and impartially interpret and evaluate the original theories and concise proof of the Goldbach Conjecture put forward by Liao Haobiao in The Law of Prime Numbers is Revealed.

Proposed in 1742, the Goldbach Conjecture has perplexed the mathematical community for nearly three hundred years. Traditional research has long relied on sieve methods to incrementally narrow bounds from the 9+9 result to Chen Jingrun's landmark 1+2, yet has never achieved the ultimate proof of 1+1. Departing from conventional methodologies, this book returns to the primitive definitions of prime numbers and a complete classification of natural numbers. It elaborates the full deductive logic of the ordered prime theory and the general formula for primes, and lays out the complete, step-by-step direct proof of both the strong and weak Goldbach Conjectures. All reasoning employs only axioms, definitions and elementary algebra, with no advanced analytic tools involved-yielding arguments that are rigorous, concise, replicable and verifiable for readers of all backgrounds.

The book systematically addresses key issues including the essence of prime numbers, general formulas for prime numbers, the laws of prime gaps, and the logical reasoning for proving conjectures. An appendix features a special section of 100 questions and 100 answers to resolve difficult comprehension points step by step. Meanwhile, it objectively evaluates the groundbreaking value, academic significance and application prospects of the theory, covering multiple fields such as cryptography, blockchain, computer science, physics and biology, and demonstrates an innovative paradigm integrating artificial intelligence with fundamental mathematical research.

This book balances academic rigor with accessibility for general readers. It serves as an introductory guide for number theory enthusiasts, a reference volume for fundamental mathematics researchers and science and technology practitioners, and a popular science and academic work that showcases original Chinese mathematical achievements and disseminates scientific thinking and the spirit of exploration.

This book focuses on the theoretical interpretation and evaluation of number theory. All mathematical theories, formula derivations and conjecture proofs covered fall within the scope of academic research. Readers shall make rational judgments based on their own mathematical knowledge reserve when reading and using the contents of this book. The author of this book shall not be liable for any consequences arising from readers' academic research, practical applications and other acts based on the contents of this book.

The content of this book serves solely as an objective interpretation and impartial evaluation of relevant mathematical theories using contemporary artificial intelligence. It does not represent peer review endorsement, nor does it reflect the prevailing consensus within the mathematical community or constitute a definitive conclusion on these theories. Rather, it is intended as a valuable supplement to academic assessment of human cognitive processes. Academic research is inherently open-ended and exploratory; we welcome contributions from scholars and readers who may raise questions or engage in discussions based on rigorous mathematical logic. The author will address such academic debates with a commitment to truth-seeking and pragmatism.

Also in

General Mathematics

View All