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Daniel Sutherland
University of Illinois, Chicago
  1. Kant on Arithmetic, Algebra, and the Theory of Proportions.Daniel Sutherland - 2006 - Journal of the History of Philosophy 44 (4):533-558.
    Daniel Sutherland - Kant on Arithmetic, Algebra, and the Theory of Proportions - Journal of the History of Philosophy 44:4 Journal of the History of Philosophy 44.4 533-558 Muse Search Journals This Journal Contents Kant on Arithmetic, Algebra, and the Theory of Proportions Daniel Sutherland Kant's philosophy of mathematics has both enthralled and exercised philosophers since the appearance of the Critique of Pure Reason. Neither the Critique nor any other work provides a sustained and focused account of his mature views (...)
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  2. The Role of Magnitude in Kant’s Critical Philosophy.Daniel Sutherland - 2004 - Canadian Journal of Philosophy 34 (3):411-441.
    In the Critique of Pure Reason, Kant argues for two principles that concern magnitudes. The first is the principle that ‘All intuitions are extensive magnitudes,’ which appears in the Axioms of Intuition ; the second is the principle that ‘In all appearances the real, which is an object of sensation, has an intensive magnitude, that is, a degree,’ which appears in the Anticipations of Perception. A circle drawn in geometry and the space occupied by an object such as a book (...)
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  3. Kant’s Philosophy of Mathematics and the Greek Mathematical Tradition.Daniel Sutherland - 2004 - Philosophical Review 113 (2):157-201.
    The aggregate EIRP of an N-element antenna array is proportional to N 2. This observation illustrates an effective approach for providing deep space networks with very powerful uplinks. The increased aggregate EIRP can be employed in a number of ways, including improved emergency communications, reaching farther into deep space, increased uplink data rates, and the flexibility of simultaneously providing more than one uplink beam with the array. Furthermore, potential for cost savings also exists since the array can be formed using (...)
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  4. The Point of Kant's Axioms of Intuition.Daniel Sutherland - 2005 - Pacific Philosophical Quarterly 86 (1):135–159.
  5. Philosophy, Geometry, and Logic in Leibniz, Wolff, and the Early Kant.Daniel Sutherland - 2010 - In Michael Friedman, Mary Domski & Michael Dickson (eds.), Discourse on a New Method: Reinvigorating the Marriage of History and Philosophy of Science. Open Court.
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    Kant on Fundamental Geometrical Relations.Daniel Sutherland - 2005 - Archiv für Geschichte der Philosophie 87 (2):117-158.
    Equality, similarity and congruence are essential elements of Kant’s theory of geometrical cognition; nevertheless, Kant’s account of them is not well understood. This paper provides historical context for treatments of these geometrical relations, presents Kant’s views on their mathematical definitions, and explains Kant’s theory of their cognition. It also places Kant’s theory within the larger context of his understanding of the quality-quantity distinction. Most importantly, it argues that the relation of equality, in conjunction with the categories of quantity, plays a (...)
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  7. Arithmetic From Kant to Frege: Numbers, Pure Units, and the Limits of Conceptual Representation.Daniel Sutherland - 2008 - Royal Institute of Philosophy Supplement 63:135-164.
    There is evidence in Kant of the idea that concepts of particular numbers, such as the number 5, are derived from the representation of units, and in particular pure units, that is, units that are qualitatively indistinguishable. Frege, in contrast, rejects any attempt to derive concepts of number from the representation of units. In the Foundations of Arithmetic, he softens up his reader for his groundbreaking and unintuitive analysis of number by attacking alternative views, and he devotes the majority of (...)
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    Kant on the Construction and Composition of Motion in the Phoronomy.Daniel Sutherland - 2014 - Canadian Journal of Philosophy 44 (5-6):686-718.
    This paper examines the role of Kant's theory of mathematical cognition in his phoronomy, his pure doctrine of motion. I argue that Kant's account of how we can construct the composition of motion rests on the construction of extended intervals of space and time, and the representation of the identity of the part–whole relations the construction of these intervals allow. Furthermore, the construction of instantaneous velocities and their composition also rests on the representation of extended intervals of space and time, (...)
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    Kant’s Construction of Nature: A Reading of the by Michael Friedman.Daniel Sutherland - 2016 - Journal of the History of Philosophy 54 (1):173-174.
    Kant’s Construction of Nature marks a major milestone in Kant scholarship. Friedman draws on over thirty years of research to make Kant’s deep engagement with Newtonian natural science accessible, and shows its relevance to Kant’s critical philosophy, especially the Critique of Pure Reason. Friedman has benefited from other excellent scholarship on Kant’s Metaphysical Foundations, but no other scholar combines such detailed textual analysis and understanding of the issues with a systematic presentation of the whole and its connection to Kant’s critical (...)
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  10. Kant's Conception of Number.Daniel Sutherland - 2017 - Philosophical Review Current Issue 126 (2):147-190.
    Despite the importance of Kant's claims about mathematical cognition for his philosophy as a whole and for subsequent philosophy of mathematics, there is still no consensus on his philosophy of arithmetic, and in particular the role he assigns intuition in it. This inquiry sets aside the role of intuition for the nonce to investigate Kant's conception of natural number. Although Kant himself doesn't distinguish between a cardinal and an ordinal conception of number, some of the properties Kant attributes to number (...)
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  11. Homeland Security and Civil Liberties: Preserving America's Way of Life.Daniel Sutherland - 2005 - Notre Dame Journal of Law, Ethics and Public Policy 19 (1):289-308.
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    Kant's Mathematical World: Mathematics, Cognition, and Experience.Daniel Sutherland - 2021 - Cambridge University Press.
    Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century. (...)
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  13. The Role of Intuition in Kant's Philosophy of Mathematics and Theory of Magnitudes.Daniel Sutherland - 1998 - Dissertation, University of California, Los Angeles
    The way in which mathematics relates to experience has deeply engaged philosophers from the scientific revolution to the present. It has strongly influenced their views on epistemology, mathematics, science, and the nature of reality. Kant's views on the nature of mathematics and its relation to experience both influence and are influenced by his epistemology, and in particular the distinction Kant draws between concepts and intuitions. My dissertation contributes to clarifying the role of intuition in Kant's theory of mathematical cognition. It (...)
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    Mathematics and Necessity: Essays in the History of Philosophy (Review).Daniel Sutherland - 2003 - Journal of the History of Philosophy 41 (3):426-427.