Switch to: References

Citations of:

On the relations of number and quantity

Mind 6 (23):326-341 (1897)

Add citations

You must login to add citations.
  1. Frege and his groups.Tuomo Aho - 1998 - History and Philosophy of Logic 19 (3):137-151.
    Frege's docent's dissertation Rechnungsmethoden, die sich auf eine Erweiterung des Grössenbegriffes gründen(1874) contains indications of a bold attempt to extend arithmetic. According to it, arithmetic means the science of magnitude, and magnitude must be understood structurally without intuitive support. The main thing is insight into the formal structure of the operation of ?addition?. It turns out that a general ?magnitude domain? coincides with a (commutative) group. This is an interesting connection with simultaneous developments in abstract algebra. As his main application, (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The myth of reductive extensionalism.Itay Shani - 2007 - Axiomathes 17 (2):155-183.
    Extensionalism, as I understand it here, is the view that physical reality consists exclusively of extensional entities. On this view, intensional entitities must either be eliminated in favor of an ontology of extensional entities, or be reduced to such an ontology, or otherwise be admitted as non-physical. In this paper I argue that extensionalism is a misguided philosophical doctrine. First, I argue that intensional phenomena are not confined to the realm of language and thought. Rather, the ontology of such phenomena (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Contemporary (Analytic Tradition).Robert Michels - 2024 - In Kathrin Koslicki & Michael J. Raven (eds.), The Routledge Handbook of Essence in Philosophy. New York, NY: Routledge.
    This paper provides an overview of the history of the notion of essence in 20th century analytic philosophy, focusing on views held by influential analytic philosophers who discussed, or relied on essence or cognate notions in their works. It in particular covers Russell and Moore’s different approaches to essence before and after breaking with British idealism, the (pre- and post-)logical positivists’ critique of metaphysics and rejection of essence (Wittgenstein, Carnap, Schlick, Stebbing), the tendency to loosen the notion of logical necessity (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • A Logico-Linguistic Inquiry into the Foundations of Physics: Part 1.Abhishek Majhi - 2022 - Axiomathes (NA):153-198.
    Physical dimensions like “mass”, “length”, “charge”, represented by the symbols [M], [L], [Q], are not numbers, but used as numbers to perform dimensional analysis in particular, and to write the equations of physics in general, by the physicist. The law of excluded middle falls short of explaining the contradictory meanings of the same symbols. The statements like “m tends to 0”, “r tends to 0”, “q tends to 0”, used by the physicist, are inconsistent on dimensional grounds because “m”, “r”, (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • The origins of the representational theory of measurement: Helmholtz, Hölder, and Russell.Joel Michell - 1993 - Studies in History and Philosophy of Science Part A 24 (2):185-206.
    It has become customary to locate the origins of modern measurement theory in the works of Helmholtz and Hölder. If by ‘modern measurement theory’ is meant the representational theory, then this may not be an accurate assessment. Both Helmholtz and Hölder present theories of measurement which are closely related to the classical conception of measurement. Indeed, Hölder can be interpreted as bringing this conception to fulfilment in a synthesis of Euclid, Newton, and Dedekind. The first explicitly representational theory appears to (...)
    Download  
     
    Export citation  
     
    Bookmark   15 citations  
  • (1 other version)Psychophysics, intensive magnitudes, and the psychometricians' fallacy.Joel Michell - 2006 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 37 (3):414-432.
    As an aspiring science in the nineteenth and early twentieth centuries, psychology pursued quantification. A problem was that degrees of psychological attributes were experienced only as greater than, less than, or equal to one another. They were categorised as intensive magnitudes. The meaning of this concept was shifting, from that of an attribute possessing underlying quantitative structure to that of a merely ordinal attribute . This fluidity allowed psychologists to claim that their attributes were intensive magnitudes and measurable . This (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Russell and Engels: Two approaches to a Hegelian philosophy of mathematics.Irving H. Anellis - 1987 - Philosophia Mathematica (2):151-179.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Grandeurs, vecteurs et relations chez Russell (1897-1903).Sébastien Gandon - 2006 - Philosophiques 33 (2):333-361.
    La théorie russellienne des relations est ordinairement conçue comme le résultat d'une réflexion logique et ontologique sur l'ordre et l'asymétrie. Le présent article vise à présenter une autre généalogie, centrée sur les concepts de grandeur et de vecteur. Nous montrons en premier lieu que la thèse de l'irréductibilité des relations est avancée pour la première fois en 1897, à l'occasion d'une reformulation de la dialectique hégélienne de la quantité. Nous soulignons, en second lieu, que la notion de grandeur fait, autour (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • (1 other version)Psychophysics, intensive magnitudes, and the psychometricians’ fallacy.Joel Michell - 2006 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 37 (3):414-432.
    Download  
     
    Export citation  
     
    Bookmark   3 citations