哥德尔定理是无效的
Godel's theorem is invalid
摘要：
哥德尔的研究成果在哲学、计算机科学和数学基础等不同领域产生了巨大的影响。本文证明了数学归纳法的规则与哥德尔证明其不可判定性和不完备性定理所用的其余子句是矛盾的。这意味着这些定理是无效的。
英文摘要：
Goedel's results have had a great impact in diverse fields such as philosophy, computer sciences and fundamentals of mathematics. The fact that the rule of mathematical induction is contradictory with the rest of clauses used by Goedel to prove his undecidability and incompleteness theorems is proved in this paper. This means that those theorems are invalid.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
