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While the traditional conception of inductive logic is Carnapian, I develop a Peircean alternative and use it to unify formal learning theory, statistics, and a significant part of machine learning: supervised learning. Some crucial standards for evaluating non-deductive inferences have been assumed separately in those areas but can actually be justified by a unifying principle.

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Unified Inductive Logic: From Formal Learning to Statistical Inference to Supervised Learning

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  • 发表日期：

    2026年

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  • Hanti Lin

摘要

While the traditional conception of inductive logic is Carnapian, I develop a Peircean alternative and use it to unify formal learning theory, statistics, and a significant part of machine learning: supervised learning. Some crucial standards for evaluating non-deductive inferences have been assumed separately in those areas but can actually be justified by a unifying principle.