lakatos proved
拉卡托斯证明了
lakatos argued
拉卡托斯认为
lakatos claimed
拉卡托斯声称
lakatos suggested
拉卡托斯提出
lakatos noted
拉卡托斯指出
lakatos explained
拉卡托斯解释
lakatos developed
拉卡托斯发展
lakatos introduced
拉卡托斯引入
lakatos defined
拉卡托斯定义
lakatos wrote
拉卡托斯写道
lakatos developed the methodology of proofs and refutations in his influential work on mathematical discovery.
拉卡托斯在他关于数学发现的开创性著作中发展了证明与反驳的方法论。
lakatos argued that mathematical knowledge develops through conjectures and refutations rather than monotonic accumulation.
拉卡托斯认为数学知识是通过猜想和反驳而非单调积累而发展的。
according to lakatos, heuristics play a crucial role in mathematical problem-solving and proof construction.
根据拉卡托斯的观点，启发法在数学问题解决和证明构建中起着至关重要的作用。
lakatos's concept of quasi-empiricism challenged the traditional view of mathematics as purely deductive.
拉卡托斯的准经验主义概念挑战了数学作为纯粹演绎的传统观点。
lakatos examined how counterexamples drive mathematical progress and refine our understanding of concepts.
拉卡托斯研究了反例如何推动数学进步并深化我们对概念的理解。
following lakatos's approach, many philosophers have reexamined the nature of mathematical justification.
许多哲学家遵循拉卡托斯的方法，重新审视了数学证明的本质。
lakatos's work on the methodology of scientific research programs extended his insights beyond mathematics.
拉卡托斯关于科学研究程序方法论的工作将他的见解扩展到了数学之外。
lakatos distinguished between local and global counterexamples in his analysis of mathematical proofs.
拉卡托斯在分析数学证明时区分了局部反例和全局反例。
lakatos emphasized the dialogical nature of mathematical reasoning and proof validation.
拉卡托斯强调数学推理和证明验证的对话性质。
lakatos's influence extends to contemporary debates about mathematical truth and objectivity.
拉卡托斯的影响延伸到当代关于数学真理和客观性的争论。
lakatos proposed that concept evolution occurs through the analysis of exceptional cases and anomalies.
拉卡托斯提出概念演变是通过分析例外情况和异常现象而发生的。
lakatos's methodology has been applied to various fields beyond philosophy of mathematics.
拉卡托斯的方法论已被应用于数学哲学之外的各个领域。
lakatos proved
拉卡托斯证明了
lakatos argued
拉卡托斯认为
lakatos claimed
拉卡托斯声称
lakatos suggested
拉卡托斯提出
lakatos noted
拉卡托斯指出
lakatos explained
拉卡托斯解释
lakatos developed
拉卡托斯发展
lakatos introduced
拉卡托斯引入
lakatos defined
拉卡托斯定义
lakatos wrote
拉卡托斯写道
lakatos developed the methodology of proofs and refutations in his influential work on mathematical discovery.
拉卡托斯在他关于数学发现的开创性著作中发展了证明与反驳的方法论。
lakatos argued that mathematical knowledge develops through conjectures and refutations rather than monotonic accumulation.
拉卡托斯认为数学知识是通过猜想和反驳而非单调积累而发展的。
according to lakatos, heuristics play a crucial role in mathematical problem-solving and proof construction.
根据拉卡托斯的观点，启发法在数学问题解决和证明构建中起着至关重要的作用。
lakatos's concept of quasi-empiricism challenged the traditional view of mathematics as purely deductive.
拉卡托斯的准经验主义概念挑战了数学作为纯粹演绎的传统观点。
lakatos examined how counterexamples drive mathematical progress and refine our understanding of concepts.
拉卡托斯研究了反例如何推动数学进步并深化我们对概念的理解。
following lakatos's approach, many philosophers have reexamined the nature of mathematical justification.
许多哲学家遵循拉卡托斯的方法，重新审视了数学证明的本质。
lakatos's work on the methodology of scientific research programs extended his insights beyond mathematics.
拉卡托斯关于科学研究程序方法论的工作将他的见解扩展到了数学之外。
lakatos distinguished between local and global counterexamples in his analysis of mathematical proofs.
拉卡托斯在分析数学证明时区分了局部反例和全局反例。
lakatos emphasized the dialogical nature of mathematical reasoning and proof validation.
拉卡托斯强调数学推理和证明验证的对话性质。
lakatos's influence extends to contemporary debates about mathematical truth and objectivity.
拉卡托斯的影响延伸到当代关于数学真理和客观性的争论。
lakatos proposed that concept evolution occurs through the analysis of exceptional cases and anomalies.
拉卡托斯提出概念演变是通过分析例外情况和异常现象而发生的。
lakatos's methodology has been applied to various fields beyond philosophy of mathematics.
拉卡托斯的方法论已被应用于数学哲学之外的各个领域。
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