Knowing to infinity
Full knowledge and the margin‐for‐error principle
Bibliographic Data
| ID | 10347212 |
|---|---|
| Authors | Yonathan Fiat (0000-0003-3601-6373, MIT, corresponding author) |
| Year | 2025 |
| Volume | 110 |
| Issue | 3 |
| Pages | 1083-1113 |
| Publication date | 2025-03-18 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy and Phenomenological Research (JOURNAL) |
| Journal identifiers | ISSN: 0031-8205 • E-ISSN: 1933-1592 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/phpr.70001 |
| OpenAlex | W4408641649 |
| Language | EN |
| Citations received | 1 |
| References cited | 27 |
Let's say that I fully know that if I know that , I know that I know that , I know that I know that I know that , and so on. Let's say that I partially know that if I know that but I don't fully know that . What, if anything, do I fully know? What, if anything, do I partially know? One response in the literature is that I fully know everything that I know; partial knowledge is impossible. This response is in tension with a plausible margin‐for‐error principle on knowledge. A different response in the literature is that I don't fully know anything; everything that I know, I partially know. Recently, Goldstein (forthcoming, 2024) defended a third view, according to which I fully know some things and I partially know other things. While this seems plausible, Goldstein's account is based on denying the margin‐for‐error principle. In this paper, I show that the possibility of both full knowledge and partial knowledge is consistent with the margin‐for‐error principle. I also argue that the resulting picture of knowledge is well‐motivated
Calculus (dental · Epistemology · Infinity · Machine learning · Margin (machine learning · Mathematical analysis · Mathematical economics · Computer Science · Epistemology, Ethics, and Metaphysics · Mathematics · Medicine · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science
| Citations per year | 1 |
|---|---|
| Citation span | 2026 - 2026 (1) |
| Highly cited | No |