19 found
Order:
See also
Profile: Daniel Sutherland (University of Illinois, Chicago)
  1.  22
    Kant's Conception of Number.Daniel Sutherland - 2017 - Philosophical Review 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 (...)
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  2. 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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   9 citations  
  3.  76
    The Role of Magnitude in Kant's Critical Philosophy.Daniel Sutherland - 2004 - Canadian Journal of Philosophy 34 (3):411 - 441.
  4.  73
    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 (...)
    Direct download (12 more)  
     
    Export citation  
     
    My bibliography   7 citations  
  5.  78
    The Point of Kant's Axioms of Intuition.Daniel Sutherland - 2005 - Pacific Philosophical Quarterly 86 (1):135–159.
  6.  52
    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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  7.  80
    Arithmetic From Kant to Frege: Numbers, Pure Units, and the Limits of Conceptual Representation.Daniel Sutherland - 2008 - Royal Institute of Philosophy Supplement 83 (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 (...)
    Direct download (7 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  8.  32
    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, (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  9. 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.
  10.  12
    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 (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  11.  25
    Mathematics and Necessity: Essays in the History of Philosophy (Review).Daniel Sutherland - 2003 - Journal of the History of Philosophy 41 (3):426-427.
  12.  1
    The Role of Magnitude in Kant’s Critical Philosophy.Daniel Sutherland - 2004 - Canadian Journal of Philosophy 34 (3):411-441.
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  13. Arithmetic From Kant to Frege: Numbers, Pure Units, and the Limits of Conceptual Representation: Daniel Sutherland.Daniel Sutherland - 2008 - Royal Institute of Philosophy Supplement 83 (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 (...)
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  14. Book Reviews. [REVIEW]Daniel Sutherland - 2003 - Journal of the History of Philosophy 41 (3):426.
     
    Export citation  
     
    My bibliography  
  15. 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.
     
    Export citation  
     
    My bibliography  
  16. Kant on Arithmetic, Algebra, and the Theory of Proportions.Daniel Sutherland - 2006 - Journal of the History of Ideas 44:533-558.
    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 (...)
    Direct download  
     
    Export citation  
     
    My bibliography  
  17. Kant’s Philosophy of Mathematics and the Greek Mathematical Tradition.Daniel Sutherland - 2004 - Philosophical Review 113 (2):157-201.
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  18. Kant's Philosophy of Mathematics and the Greek Mathematical Tradition.Daniel Sutherland - 2004 - Philosophical Review 113 (2):157-201.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  19. 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 (...)
     
    Export citation  
     
    My bibliography