nonprovability theorem
不可证明性定理
gödel's nonprovability
哥德尔的不可证明性
proof of nonprovability
不可证明性的证明
principle of nonprovability
不可证明性原理
nonprovability result
不可证明性结果
the nonprovability
这种不可证明性
mathematical nonprovability
数学的不可证明性
system's nonprovability
系统的不可证明性
statement's nonprovability
陈述的不可证明性
formal nonprovability
形式的不可证明性
the nonprovability of this mathematical conjecture has been rigorously demonstrated.
这个数学猜想的不可证明性已被严格证明。
logicians continue to debate the implications of nonprovability in formal systems.
逻辑学家继续讨论形式系统中不可证明性的含义。
the nonprovability theorem fundamentally changed our understanding of mathematical truth.
不可证明性定理从根本上改变了我们对数学真理的理解。
research into nonprovability has revealed surprising limits of axiomatic reasoning.
对不可证明性的研究揭示了公理推理令人惊讶的局限。
the nonprovability of consistency statements shocked the mathematical community.
一致性陈述的不可证明性震惊了数学界。
understanding nonprovability requires deep knowledge of formal logic.
理解不可证明性需要深厚的形式逻辑知识。
the phenomenon of nonprovability demonstrates inherent boundaries in mathematical proof.
不可证明性现象证明了数学证明的内在边界。
philosophers have long been fascinated by the concept of nonprovability.
哲学家们长期以来对不可证明性的概念着迷。
the nonprovability of certain statements follows directly from gödel's work.
某些陈述的不可证明性直接源于哥德尔的工作。
nonprovability can be as significant as provability in mathematical logic.
在数理逻辑中，不可证明性与可证明性可能同等重要。
the limits of nonprovability continue to be explored by researchers worldwide.
世界各地的研究人员继续探索不可证明性的极限。
nonprovability theorem
不可证明性定理
gödel's nonprovability
哥德尔的不可证明性
proof of nonprovability
不可证明性的证明
principle of nonprovability
不可证明性原理
nonprovability result
不可证明性结果
the nonprovability
这种不可证明性
mathematical nonprovability
数学的不可证明性
system's nonprovability
系统的不可证明性
statement's nonprovability
陈述的不可证明性
formal nonprovability
形式的不可证明性
the nonprovability of this mathematical conjecture has been rigorously demonstrated.
这个数学猜想的不可证明性已被严格证明。
logicians continue to debate the implications of nonprovability in formal systems.
逻辑学家继续讨论形式系统中不可证明性的含义。
the nonprovability theorem fundamentally changed our understanding of mathematical truth.
不可证明性定理从根本上改变了我们对数学真理的理解。
research into nonprovability has revealed surprising limits of axiomatic reasoning.
对不可证明性的研究揭示了公理推理令人惊讶的局限。
the nonprovability of consistency statements shocked the mathematical community.
一致性陈述的不可证明性震惊了数学界。
understanding nonprovability requires deep knowledge of formal logic.
理解不可证明性需要深厚的形式逻辑知识。
the phenomenon of nonprovability demonstrates inherent boundaries in mathematical proof.
不可证明性现象证明了数学证明的内在边界。
philosophers have long been fascinated by the concept of nonprovability.
哲学家们长期以来对不可证明性的概念着迷。
the nonprovability of certain statements follows directly from gödel's work.
某些陈述的不可证明性直接源于哥德尔的工作。
nonprovability can be as significant as provability in mathematical logic.
在数理逻辑中，不可证明性与可证明性可能同等重要。
the limits of nonprovability continue to be explored by researchers worldwide.
世界各地的研究人员继续探索不可证明性的极限。
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