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  1. Spatial representation, magnitude and the two stems of cognition.Thomas Land - 2014 - Canadian Journal of Philosophy 44 (5-6):524-550.
    The aim of this paper is to show that attention to Kant's philosophy of mathematics sheds light on the doctrine that there are two stems of the cognitive capacity, which are distinct, but equally necessary for cognition. Specifically, I argue for the following four claims: The distinctive structure of outer sensible intuitions must be understood in terms of the concept of magnitude. The act of sensibly representing a magnitude involves a special act of spontaneity Kant ascribes to a capacity he (...)
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  • Infinity and givenness: Kant on the intuitive origin of spatial representation.Daniel Smyth - 2014 - Canadian Journal of Philosophy 44 (5-6):551-579.
    I advance a novel interpretation of Kant's argument that our original representation of space must be intuitive, according to which the intuitive status of spatial representation is secured by its infinitary structure. I defend a conception of intuitive representation as what must be given to the mind in order to be thought at all. Discursive representation, as modelled on the specific division of a highest genus into species, cannot account for infinite complexity. Because we represent space as infinitely complex, the (...)
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  • The Kantian (Non)‐conceptualism Debate.Colin McLear - 2014 - Philosophy Compass 9 (11):769-790.
    One of the central debates in contemporary Kant scholarship concerns whether Kant endorses a “conceptualist” account of the nature of sensory experience. Understanding the debate is crucial for getting a full grasp of Kant's theory of mind, cognition, perception, and epistemology. This paper situates the debate in the context of Kant's broader theory of cognition and surveys some of the major arguments for conceptualist and non-conceptualist interpretations of his critical philosophy.
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  • Space as Form of Intuition and as Formal Intuition: On the Note to B160 in Kant's Critique of Pure Reason.Christian Onof & Dennis Schulting - 2015 - Philosophical Review 124 (1):1-58.
    In his argument for the possibility of knowledge of spatial objects, in the Transcendental Deduction of the B-version of the Critique of Pure Reason, Kant makes a crucial distinction between space as “form of intuition” and space as “formal intuition.” The traditional interpretation regards the distinction between the two notions as reflecting a distinction between indeterminate space and determinations of space by the understanding, respectively. By contrast, a recent influential reading has argued that the two notions can be fused into (...)
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  • Soft Axiomatisation: John von Neumann on Method and von Neumann's Method in the Physical Sciences.Miklós Rédei & Michael Stöltzner - 2006 - In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. pp. 235--249.
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  • Kant, Kästner and the Distinction between Metaphysical and Geometric Space.Christian Onof & Dennis Schulting - 2014 - Kantian Review 19 (2):285-304.
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  • Kant on geometry and spatial intuition.Michael Friedman - 2012 - Synthese 186 (1):231-255.
    I use recent work on Kant and diagrammatic reasoning to develop a reconsideration of central aspects of Kant’s philosophy of geometry and its relation to spatial intuition. In particular, I reconsider in this light the relations between geometrical concepts and their schemata, and the relationship between pure and empirical intuition. I argue that diagrammatic interpretations of Kant’s theory of geometrical intuition can, at best, capture only part of what Kant’s conception involves and that, for example, they cannot explain why Kant (...)
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  • Geometry and Spatial Intuition: A Genetic Approach.Rene Jagnow - 2003 - Dissertation, Mcgill University (Canada)
    In this thesis, I investigate the nature of geometric knowledge and its relationship to spatial intuition. My goal is to rehabilitate the Kantian view that Euclid's geometry is a mathematical practice, which is grounded in spatial intuition, yet, nevertheless, yields a type of a priori knowledge about the structure of visual space. I argue for this by showing that Euclid's geometry allows us to derive knowledge from idealized visual objects, i.e., idealized diagrams by means of non-formal logical inferences. By developing (...)
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  • Kant on the Nature of Logical Laws.Clinton Tolley - 2006 - Philosophical Topics 34 (1-2):371-407.
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  • Meaning and Aesthetic Judgment in Kant.Eli Friedlander - 2006 - Philosophical Topics 34 (1-2):21-34.
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  • It Adds Up After All: Kant’s Philosophy of Arithmetic in Light of the Traditional Logic.R. Lanier Anderson - 2004 - Philosophy and Phenomenological Research 69 (3):501–540.
    Officially, for Kant, judgments are analytic iff the predicate is "contained in" the subject. I defend the containment definition against the common charge of obscurity, and argue that arithmetic cannot be analytic, in the resulting sense. My account deploys two traditional logical notions: logical division and concept hierarchies. Division separates a genus concept into exclusive, exhaustive species. Repeated divisions generate a hierarchy, in which lower species are derived from their genus, by adding differentia(e). Hierarchies afford a straightforward sense of containment: (...)
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  • The critical philosophy renewed: The bridge between Hermann Cohen's early work on Kant and later philosophy of science.Lydia Patton - 2005 - Angelaki 10 (1):109 – 118.
    German supporters of the Kantian philosophy in the late 19th century took one of two forks in the road: the fork leading to Baden, and the Southwest School of neo-Kantian philosophy, and the fork leading to Marburg, and the Marburg School, founded by Hermann Cohen. Between 1876, when Cohen came to Marburg, and 1918, the year of Cohen's death, Cohen, with his Marburg School, had a profound influence on German academia.
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  • Kant, Infinite Space, and Decomposing Synthesis.Aaron Wells - manuscript
    Draft for presentation at the 14th International Kant-Congress, September 2024. -/- Abstract: Kant claims we intuit infinite space. There’s a problem: Kant thinks full awareness of infinite space requires synthesis—the act of putting representations together and comprehending them as one. But our ability to synthesize is finite. Tobias Rosefeldt has argued in a recent paper that Kant’s notion of decomposing synthesis offers a solution. This talk criticizes Rosefeldt’s approach. First, Rosefeldt is committed to nonconceptual yet determinate awareness of (potentially) infinite (...)
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  • Schlick, intuition, and the history of epistemology.Andreas Vrahimis - 2024 - European Journal of Philosophy.
    Maria Rosa Antognazza's work has issued a historical challenge to the thesis that the analysis of knowledge (as justified true belief) attacked by epistemologists from Gettier onwards was indeed the standard view traditionally upheld from Plato onwards. This challenge led to an ongoing reappraisal of the historical significance of intuitive knowledge, in which the knower is intimately connected to what is known. Such traditional accounts of intuition, and their accompanying claims to epistemological primacy, constituted the precise target of Moritz Schlick's (...)
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  • Two Models of Kantian Construction.Aljoša Kravanja - 2023 - Journal of Transcendental Philosophy 4 (2):137-155.
    According to Kant, we gain mathematical knowledge by constructing objects in pure intuition. This is true not only of geometry but arithmetic and algebra as well. Construction has prominent place in scholarly accounts of Kant’s views of mathematics. But did Kant have a clear vision of what construction is? The paper argues that Kant employed two different, even conflicting models of construction, depending on the philosophical issue he was dealing with. In the equivalence model, Kant claims that the object constructed (...)
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  • Kant on Decomposing Synthesis and the Intuition of Infinite Space.Tobias Rosefeldt - 2022 - Philosophers' Imprint 22 (1).
    In the Transcendental Aesthetic of the Critique of Pure Reason, Immanuel Kant famously claims that we have an a priori intuition of space as an ‘infinite given magnitude’. Later on, in the Transcendental Analytic, he seems to add that the intuition of space presupposes a synthetic activity of the transcendental imagination. Several authors have recently pointed out that these two claims taken together give rise to two problems. First, it is unclear how the transcendental imagination of a finite mind could (...)
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  • Kant on the Givenness of Space and Time.Rosalind Chaplin - 2022 - European Journal of Philosophy 30 (3):877-898.
    Famously, Kant describes space and time as infinite “given” magnitudes. An influential interpretative tradition reads this as a claim about phenomenological presence to the mind: in claiming that space and time are given, this reading holds, Kant means to claim that we have phenomenological access to space and time in our original intuitions of them. In this paper, I argue that we should instead understand givenness as a metaphysical notion. For Kant, space and time are ‘given’ in virtue of three (...)
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  • Kant’s Original Space and Time as Mere Grounds for Possibilities.Thomas Raysmith - 2022 - Kantian Review 27 (1):23-42.
    In the Critique of Pure Reason Kant appears to make incompatible claims regarding the unitary natures of what he takes to be our a priori representations of space and time. I argue that these representations are unitary independently of all synthesis and explain how this avoids problems encountered by other positions regarding the Transcendental Deduction and its relation to the Transcendental Aesthetic in that work. Central is the claim that these representations (1) contain, when characterized as intuitions and considered as (...)
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  • On the Necessity of the Categories.Anil Gomes, Andrew Stephenson & Adrian Moore - 2022 - Philosophical Review 131 (2):129–168.
    For Kant, the human cognitive faculty has two sub-faculties: sensibility and the understanding. Each has pure forms which are necessary to us as humans: space and time for sensibility; the categories for the understanding. But Kant is careful to leave open the possibility of there being creatures like us, with both sensibility and understanding, who nevertheless have different pure forms of sensibility. They would be finite rational beings and discursive cognizers. But they would not be human. And this raises a (...)
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  • Conflicting Conceptions of Construction in Kant’s Philosophy of Geometry.William Goodwin - 2018 - Perspectives on Science 26 (1):97-118.
    The notion of the "construction" or "exhibition" of a concept in intuition is central to Kant's philosophical account of geometry. Kant invokes this notion in all of his major Critical Era discussions of mathematics. The most extended discussion of mathematics, and geometry more specifically, occurs in "The Discipline of Pure Reason in its Dogmatic Employment." In this later section of the Critique, Kant makes it clear that construction-in-intuition is central to his philosophy of mathematics by presenting it as the defining (...)
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  • Intuition and Presence.Colin McLear - 2017 - In Andrew Stephenson & Anil Gomes (eds.), Kant and the Philosophy of Mind: Perception, Reason, and the Self. Oxford, United Kingdom: Oxford University Press. pp. 86-103.
    In this paper I explicate the notion of “presence” [Gegenwart] as it pertains to intuition. Specifically, I examine two central problems for the position that an empirical intuition is an immediate relation to an existing particular in one’s environment. The first stems from Kant’s description of the faculty of imagination, while the second stems from Kant’s discussion of hallucination. I shall suggest that Kant’s writings indicate at least one possible means of reconciling our two problems with a conception of “presence” (...)
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  • On Truth, the Truth of Existence, and the Existence of Truth: A Dialogue with the Thought of Duns Scotus.Liran Shia Gordon - 2015 - Philosophy and Theology 27 (2):389-425.
    In order to make sense of Scotus’s claim that rationality is perfected only by the will, a Scotistic doctrine of truth is developed in a speculative way. It is claimed that synthetic a priori truths are truths of the will, which are existential truths. This insight holds profound theological implications and is used on the one hand to criticize Kant's conception of existence, and on the other hand, to offer another explanation of the sense according to which the existence of (...)
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  • Kant: Philosophy of Mind.Colin McLear - 2015 - Internet Encyclopedia of Philosophy.
    Kant: Philosophy of Mind Immanuel Kant was one of the most important philosophers of the Enlightenment Period in Western European history. This encyclopedia article focuses on Kant’s views in the philosophy of mind, which undergird much of his epistemology and metaphysics. In particular, it focuses on metaphysical and epistemological doctrines forming the … Continue reading Kant: Philosophy of Mind →.
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  • When series go in indefinitum, ad infinitum and in infinitum concepts of infinity in Kant’s antinomy of pure reason.Silvia De Bianchi - 2015 - Synthese 192 (8):2395-2412.
    In the section of the Antinomy of pure Reason Kant presents three notions of infinity. By investigating these concepts of infinity, this paper highlights important ‘building blocks’ of the structure of the mathematical antinomies, such as the ability of reason of producing ascending and descending series, as well as the notions of given and givable series. These structural features are discussed in order to clarify Ernst Zermelo’s reading of Kant’s antinomy, according to which the latter is deeply rooted in the (...)
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  • The Bloomsbury Companion to Kant.Gary Banham, Nigel Hems & Dennis Schulting (eds.) - 2015 - London: Bloomsbury Academic.
    A comprehensive and practical study tool, introducing Kant's thought and key works and exploring his continuing influence.
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  • Kant's A Priori Intuition of Space Independent of Postulates.Edgar J. Valdez - 2012 - Kantian Review 17 (1):135-160.
    Defences of Kant's foundations of geometry fall short if they are unable to equally ground Euclidean and non-Euclidean geometries. Thus, Kant's account must be separated from geometrical postulates. I argue that characterizing space as the form of outer intuition must be independent of postulates. Geometrical postulates are then expressions of particular spatializing activities made possible by the a priori intuition of space. While Amit Hagar contends that this is to speak of noumena, I argue that a Kantian account of space (...)
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  • The point of Kant's axioms of intuition.Daniel Sutherland - 2005 - Pacific Philosophical Quarterly 86 (1):135–159.
    Kant's Critique of Pure Reason makes important claims about space, time and mathematics in both the Transcendental Aesthetic and the Axioms of Intuition, claims that appear to overlap in some ways and contradict in others. Various interpretations have been offered to resolve these tensions; I argue for an interpretation that accords the Axioms of Intuition a more important role in explaining mathematical cognition than it is usually given. Appreciation for this larger role reveals that magnitudes are central to Kant's philosophy (...)
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  • 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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  • Kant’s Mereological Account of Greater and Lesser Actual Infinities.Daniel Smyth - 2023 - Archiv für Geschichte der Philosophie 105 (2):315-348.
    Recent work on Kant’s conception of space has largely put to rest the view that Kant is hostile to actual infinity. Far from limiting our cognition to quantities that are finite or merely potentially infinite, Kant characterizes the ground of all spatial representation as an actually infinite magnitude. I advance this reevaluation a step further by arguing that Kant judges some actual infinities to be greater than others: he claims, for instance, that an infinity of miles is strictly smaller than (...)
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  • Kant’s Transcendental Deduction and the Unity of Space and Time.Andrew F. Roche - 2018 - Kantian Review 23 (1):41-64.
    On one reading of Kant’s account of our original representations of space and time, they are, in part, products of the understanding or imagination. On another, they are brute, sensible givens, entirely independent of the understanding. In this article, while I agree with the latter interpretation, I argue for a version of it that does more justice to the insights of the former than others currently available. I claim that Kant’s Transcendental Deduction turns on the representations of space and time (...)
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  • Looking for laws in all the wrong spaces: Kant on laws, the understanding, and space.James Anthony Messina - 2018 - European Journal of Philosophy 26 (1):589-613.
    Prolegomena §38 is intended to elucidate the claim that the understanding legislates a priori laws to nature. Kant cites various laws of geometry as examples and discusses a derivation of the inverse-square law from such laws. I address 4 key interpretive questions about this cryptic text that have not yet received satisfying answers: How exactly are Kant's examples of laws supposed to elucidate the Legislation Thesis? What is Kant's view of the epistemic status of the inverse-square law and, relatedly, of (...)
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  • Coffa’s Kant and the evolution of accounts of mathematical necessity.William Mark Goodwin - 2010 - Synthese 172 (3):361 - 379.
    According to Alberto Coffa in The Semantic Tradition from Kant to Carnap, Kant’s account of mathematical judgment is built on a ‘semantic swamp’. Kant’s primitive semantics led him to appeal to pure intuition in an attempt to explain mathematical necessity. The appeal to pure intuition was, on Coffa’s line, a blunder from which philosophy was forced to spend the next 150 years trying to recover. This dismal assessment of Kant’s contributions to the evolution of accounts of mathematical necessity is fundamentally (...)
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  • Handedness, Idealism, and Freedom.Desmond Hogan - 2021 - Philosophical Review 130 (3):385-449.
    Incongruent counterparts are pairs of objects which cannot be enclosed in the same spatial limits despite an exact similarity in magnitude, proportion, and relative position of their parts. Kant discerns in such objects, whose most familiar example is left and right hands, a “paradox” demanding “demotion of space and time to mere forms of our sensory intuition.” This paper aims at an adequate understanding of Kant’s enigmatic idealist argument from handed objects, as well as an understanding of its relation to (...)
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  • Coffa’s Kant and the evolution of accounts of mathematical necessity.William Mark Goodwin - 2010 - Synthese 172 (3):361-379.
    According to Alberto Coffa in The Semantic Tradition from Kant to Carnap, Kant’s account of mathematical judgment is built on a ‘semantic swamp’. Kant’s primitive semantics led him to appeal to pure intuition in an attempt to explain mathematical necessity. The appeal to pure intuition was, on Coffa’s line, a blunder from which philosophy was forced to spend the next 150 years trying to recover. This dismal assessment of Kant’s contributions to the evolution of accounts of mathematical necessity is fundamentally (...)
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  • What is Kantian Philosophy of Mathematics? An Overview of Contemporary Studies.Maksim D. Evstigneev - 2021 - Kantian Journal 40 (2):151-178.
    This review of contemporary discussions of Kantian philosophy of mathematics is timed for the publication of the essay Kant’s Philosophy of Mathematics. Volume 1: The Critical Philosophy and Its Roots (2020) edited by Carl Posy and Ofra Rechter. The main discussions and comments are based on the texts contained in this collection. I first examine the more general questions which have to do not only with the philosophy of mathematics, but also with related areas of Kant’s philosophy, e. g. the (...)
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  • Kant and Strawson on the Content of Geometrical Concepts.Katherine Dunlop - 2012 - Noûs 46 (1):86-126.
    This paper considers Kant's understanding of conceptual representation in light of his view of geometry.
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  • Kantian Conceptualism/Nonconceptualism.Colin McLear - 2020 - Stanford Encyclopedia of Philosophy.
    Overview of the (non)conceptualism debate in Kant studies.
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  • Critical Notice of Robert Pippin's "Logik und Metaphysik: Hegels 'Reich der Schatten'".Dennis Schulting - 2016 - Critique 2016.
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  • Scientifically Minded : Science, the Subject and Kant’s Critical Philosophy.Johan Boberg - unknown
    Modern philosophy is often seen as characterized by a shift of focus from the things themselves to our knowledge of them, i.e., by a turn to the subject and subjectivity. The philosophy of Immanuel Kant is seen as the site of the emergence of the idea of a subject that constitutes the object of knowledge, and thus plays a central role in this narrative. This study examines Kant’s theory of knowledge at the intersection between the history of science and the (...)
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  • Conexiones entre Kant, Proclo y Euclides, a partir de una interpretación de Hintikka.Javier Fuentes González - 2017 - Con-Textos Kantianos 5:261-277.
    En este texto se busca poner una base para una interpretación de la intuición y la construcción en Kant, para lo cual se analiza la célebre interpretación desarrollada por Hintikka. Este análisis muestra que esta interpretación presenta algunas debilidades, sin embargo, de ella se rescata que se puede alcanzar una comprensión de la intuición y la construcción vinculándolas con algunos planteamientos de los antiguos filósofos y matemáticos griegos, especialmente Proclo y Euclides. Más específicamente, se muestra que un punto de partida (...)
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  • Reply to Watt: Epistemic Humility, Objective Validity, Logical Derivability.Dennis Schulting - 2017 - Critique (November):o-o.
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  • Kant's Argument from the Applicability of Geometry.Waldemar Rohloff - 2012 - Kant Studies Online (1):23-50.
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  • The relation of logic and intuition in Kant's philosophy of science, particularly geometry.Ulrich Majer - 2006 - In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. pp. 47--66.
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