lakatos proved
Traditional Chinese_translation
lakatos argued
Traditional Chinese_translation
lakatos claimed
Traditional Chinese_translation
lakatos suggested
Traditional Chinese_translation
lakatos noted
Traditional Chinese_translation
lakatos explained
Traditional Chinese_translation
lakatos developed
Traditional Chinese_translation
lakatos introduced
Traditional Chinese_translation
lakatos defined
Traditional Chinese_translation
lakatos wrote
Traditional Chinese_translation
lakatos developed the methodology of proofs and refutations in his influential work on mathematical discovery.
拉卡托斯在其有關數學發現的有影響力著作中發展了證明與反駁的方法論。
lakatos argued that mathematical knowledge develops through conjectures and refutations rather than monotonic accumulation.
拉卡托斯認為數學知識是通過猜測與反駁來發展，而非單調累積。
according to lakatos, heuristics play a crucial role in mathematical problem-solving and proof construction.
根據拉卡托斯，啟發式在數學問題解決與證明構建中扮演著關鍵角色。
lakatos's concept of quasi-empiricism challenged the traditional view of mathematics as purely deductive.
拉卡托斯的準經驗主義概念挑戰了將數學視為純粹演繹的傳統觀點。
lakatos examined how counterexamples drive mathematical progress and refine our understanding of concepts.
拉卡托斯探討了反例如何推動數學進步並精煉我們對概念的理解。
following lakatos's approach, many philosophers have reexamined the nature of mathematical justification.
遵循拉卡托斯的方法，許多哲學家重新審視了數學合理性的本質。
lakatos's work on the methodology of scientific research programs extended his insights beyond mathematics.
拉卡托斯關於科學研究方法論的工作將他的見解延伸至數學以外的領域。
lakatos distinguished between local and global counterexamples in his analysis of mathematical proofs.
拉卡托斯在其數學證明分析中區分了局部與全局的反例。
lakatos emphasized the dialogical nature of mathematical reasoning and proof validation.
拉卡托斯強調數學推理與證明驗證的對話性質。
lakatos's influence extends to contemporary debates about mathematical truth and objectivity.
拉卡托斯的影響延伸至當代關於數學真理與客觀性的爭議。
lakatos proposed that concept evolution occurs through the analysis of exceptional cases and anomalies.
拉卡托斯提出概念的演變是通過對例外情況和異常的分析來實現的。
lakatos's methodology has been applied to various fields beyond philosophy of mathematics.
拉卡托斯的方法論已被應用於數學哲學以外的各個領域。
lakatos proved
Traditional Chinese_translation
lakatos argued
Traditional Chinese_translation
lakatos claimed
Traditional Chinese_translation
lakatos suggested
Traditional Chinese_translation
lakatos noted
Traditional Chinese_translation
lakatos explained
Traditional Chinese_translation
lakatos developed
Traditional Chinese_translation
lakatos introduced
Traditional Chinese_translation
lakatos defined
Traditional Chinese_translation
lakatos wrote
Traditional Chinese_translation
lakatos developed the methodology of proofs and refutations in his influential work on mathematical discovery.
拉卡托斯在其有關數學發現的有影響力著作中發展了證明與反駁的方法論。
lakatos argued that mathematical knowledge develops through conjectures and refutations rather than monotonic accumulation.
拉卡托斯認為數學知識是通過猜測與反駁來發展，而非單調累積。
according to lakatos, heuristics play a crucial role in mathematical problem-solving and proof construction.
根據拉卡托斯，啟發式在數學問題解決與證明構建中扮演著關鍵角色。
lakatos's concept of quasi-empiricism challenged the traditional view of mathematics as purely deductive.
拉卡托斯的準經驗主義概念挑戰了將數學視為純粹演繹的傳統觀點。
lakatos examined how counterexamples drive mathematical progress and refine our understanding of concepts.
拉卡托斯探討了反例如何推動數學進步並精煉我們對概念的理解。
following lakatos's approach, many philosophers have reexamined the nature of mathematical justification.
遵循拉卡托斯的方法，許多哲學家重新審視了數學合理性的本質。
lakatos's work on the methodology of scientific research programs extended his insights beyond mathematics.
拉卡托斯關於科學研究方法論的工作將他的見解延伸至數學以外的領域。
lakatos distinguished between local and global counterexamples in his analysis of mathematical proofs.
拉卡托斯在其數學證明分析中區分了局部與全局的反例。
lakatos emphasized the dialogical nature of mathematical reasoning and proof validation.
拉卡托斯強調數學推理與證明驗證的對話性質。
lakatos's influence extends to contemporary debates about mathematical truth and objectivity.
拉卡托斯的影響延伸至當代關於數學真理與客觀性的爭議。
lakatos proposed that concept evolution occurs through the analysis of exceptional cases and anomalies.
拉卡托斯提出概念的演變是通過對例外情況和異常的分析來實現的。
lakatos's methodology has been applied to various fields beyond philosophy of mathematics.
拉卡托斯的方法論已被應用於數學哲學以外的各個領域。
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