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<p>Church-Fitch’s Knowability Paradox points to a necessary correlation between ignorance and unknowability. In this paper, we investigate the prospects of quantifying this correlation. We explore various approaches to formalizing the quantitative correlation between unknowns and unknowables and advocate for a specific proposal. Our proposal appeals to the density of true unknowables given the ratio of known to unknown basic truths in a situation. A higher proportion of known basic truths in a situation corresponds to a lower density of true unknowables in that situation. We further examine some implications of this result and discuss potential applications to other philosophical debates.</p>

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Counting unknowables

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Davide Fassio,
  • Massimiliano Carrara

摘要

Church-Fitch’s Knowability Paradox points to a necessary correlation between ignorance and unknowability. In this paper, we investigate the prospects of quantifying this correlation. We explore various approaches to formalizing the quantitative correlation between unknowns and unknowables and advocate for a specific proposal. Our proposal appeals to the density of true unknowables given the ratio of known to unknown basic truths in a situation. A higher proportion of known basic truths in a situation corresponds to a lower density of true unknowables in that situation. We further examine some implications of this result and discuss potential applications to other philosophical debates.