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The derivation of the categories of quantity : reading the metaphysical deduction through the lens of a controversy

Levi Haeck (UGent)
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Abstract
In this paper, I propose to resolve the controversy over the derivation of the categories of quantity by spelling out three claims: (1) the three quantitative functions/forms of judgment (universal-particular-singular), qua synthetic categories of quantity (unity-plurality-totality), lawfully direct the determination of sensible manifolds as singular totalities, which (2) brings to light a specifically categorial type of judgmental activity, distinguishable from but presupposed by empirical judgments. This calls for (3) pairing the category of totality with the singular judgment and the category of unity with the universal judgment (‘Order B’), rather than pairing the singular judgment with unity and the universal judgment with totality (‘Order A’). At stake in this controversy is our understanding of the categories’ normativity, their scope, and the division of labor between intuitions and categories in individuating objects.

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MLA
Haeck, Levi. “The Derivation of the Categories of Quantity : Reading the Metaphysical Deduction through the Lens of a Controversy.” KANT-STUDIEN, 2025.
APA
Haeck, L. (2025). The derivation of the categories of quantity : reading the metaphysical deduction through the lens of a controversy. KANT-STUDIEN.
Chicago author-date
Haeck, Levi. 2025. “The Derivation of the Categories of Quantity : Reading the Metaphysical Deduction through the Lens of a Controversy.” KANT-STUDIEN.
Chicago author-date (all authors)
Haeck, Levi. 2025. “The Derivation of the Categories of Quantity : Reading the Metaphysical Deduction through the Lens of a Controversy.” KANT-STUDIEN.
Vancouver
1.
Haeck L. The derivation of the categories of quantity : reading the metaphysical deduction through the lens of a controversy. KANT-STUDIEN. 2025;
IEEE
[1]
L. Haeck, “The derivation of the categories of quantity : reading the metaphysical deduction through the lens of a controversy,” KANT-STUDIEN, 2025.
@article{01HY0KP60N2ESZ3TC5Y5RH638X,
  abstract     = {{In this paper, I propose to resolve the controversy over the derivation of the categories of quantity by spelling out three claims: (1) the three quantitative functions/forms of judgment (universal-particular-singular), qua synthetic categories of quantity (unity-plurality-totality), lawfully direct the determination of sensible manifolds as singular totalities, which (2) brings to light a specifically categorial type of judgmental activity, distinguishable from but presupposed by empirical judgments. This calls for (3) pairing the category of totality with the singular judgment and the category of unity with the universal judgment (‘Order B’), rather than pairing the singular judgment with unity and the universal judgment with totality (‘Order A’). At stake in this controversy is our understanding of the categories’ normativity, their scope, and the division of labor between intuitions and categories in individuating objects.}},
  author       = {{Haeck, Levi}},
  issn         = {{0022-8877}},
  journal      = {{KANT-STUDIEN}},
  language     = {{eng}},
  title        = {{The derivation of the categories of quantity : reading the metaphysical deduction through the lens of a controversy}},
  year         = {{2025}},
}