Results for 'Number concept'

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  1.  10
    A Model of Knower‐Level Behavior in Number Concept Development.Michael D. Lee & Barbara W. Sarnecka - 2010 - Cognitive Science 34 (1):51-67.
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  2.  7
    The Development of Number Concept in Children of Pre-School and Kindergarten Ages.Harl R. Douglass - 1925 - Journal of Experimental Psychology 8 (6):443.
  3.  3
    Perceptual Versus Analytical Responses to the Number Concept of a Weigl-Type Card Sorting Test.David A. Grant - 1951 - Journal of Experimental Psychology 41 (1):23.
  4. A Study of the Number Concept of Secondary School Mathematics.Howard F. Fehr - 1940 - [New York]Teachers College, Columbia University.
     
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  5. Lecture on the Concept of Number (Ws 1889/90).Edmund Husserl - 2005 - New Yearbook for Phenomenology and Phenomenological Philosophy 5:279-309 recto.
    Among the various lecture courses that Edmund Husserl held during his time as a Privatdozent at the University of Halle (1887-1901), there was one on "Ausgewählte Fragen aus der Philosophie der Mathematik" (Selected Questions from the Philosophy of Mathematics), which he gave twice, once in the WS 1889/90 and again in WS 1890/91. As Husserl reports in his letter to Carl Stumpf of February 1890, he lectured mainly on “spatial-logical questions” and gave an extensive critique of the Riemann-Helmholtz theories. Indeed, (...)
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  6.  10
    Number Concepts for the Concept Empiricist.Max Jones - 2016 - Philosophical Psychology 29 (3):334-348.
    Dove and Machery both argue that recent findings about the nature of numerical representation present problems for Concept Empiricism. I shall argue that, whilst this evidence does challenge certain versions of CE, such as Prinz, it needn’t be seen as problematic to the general CE approach. Recent research can arguably be seen to support a CE account of number concepts. Neurological and behavioral evidence suggests that systems involved in the perception of numerical properties are also implicated in numerical (...)
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  7.  96
    The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number.Gottlob Frege - 1950 - Northwestern University Press.
    § i. After deserting for a time the old Euclidean standards of rigour, mathematics is now returning to them, and even making efforts to go beyond them. ...
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  8. The Foundations of Arithmetic a Logico-Mathematical Enquiry Into the Concept of Number. English Translation by J.L. Austin. [REVIEW]Gottlob Frege - 1953
  9.  36
    Set Representations Required for the Acquisition of the “Natural NumberConcept.Justin Halberda & Lisa Feigenson - 2008 - Behavioral and Brain Sciences 31 (6):655-656.
    Rips et al. consider whether representations of individual objects or analog magnitudes are building blocks for the concept natural number. We argue for a third core capacity – the ability to bind representations of individuals into sets. However, even with this addition to the list of starting materials, we agree that a significant acquisition story is needed to capture natural number.
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  10.  4
    The Prehistory of Number Concept.Karenleigh A. Overmann, Thomas Wynn & Frederick L. Coolidge - 2011 - Behavioral and Brain Sciences 34 (3):142-144.
    Carey leaves unaddressed an important evolutionary puzzle: In the absence of a numeral list, how could a concept of natural number ever have arisen in the first place? Here we suggest that the initial development of natural number must have bootstrapped on a material culture scaffold of some sort, and illustrate how this might have occurred using strings of beads.
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  11.  3
    Effect of Number of Response Categories on Dimension Selection, Paired-Associate Learning, and Complete Learning in a Conjunctive Concept Identification Task.William J. Thomson - 1972 - Journal of Experimental Psychology 93 (1):95.
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  12.  2
    Effects of Number of Relevant Dimensions in Disjunctive Concept Learning.Nancy J. Looney & Robert C. Haygood - 1968 - Journal of Experimental Psychology 78 (1):169.
  13.  47
    Music Training, Engagement with Sequence, and the Development of the Natural Number Concept in Young Learners.Martin F. Gardiner - 2008 - Behavioral and Brain Sciences 31 (6):652-653.
    Studies by Gardiner and colleagues connecting musical pitch and arithmetic learning support Rips et al.'s proposal that natural number concepts are constructed on a base of innate abilities. Our evidence suggests that innate ability concerning sequence ( or BSC) is fundamental. Mathematical engagement relating number to BSC does not develop automatically, but, rather, should be encouraged through teaching.
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  14.  53
    On a Semantic Interpretation of Kant's Concept of Number.Wing-Chun Wong - 1999 - Synthese 121 (3):357-383.
    What is central to the progression of a sequence is the idea of succession, which is fundamentally a temporal notion. In Kant's ontology numbers are not objects but rules (schemata) for representing the magnitude of a quantum. The magnitude of a discrete quantum 11...11 is determined by a counting procedure, an operation which can be understood as a mapping from the ordinals to the cardinals. All empirical models for numbers isomorphic to 11...11 must conform to the transcendental determination of time-order. (...)
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  15.  1
    Review: Evert Beth, Number Concept and Time Intuition. [REVIEW]Albert A. Bennett - 1939 - Journal of Symbolic Logic 4 (3):125-125.
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  16. Review: J. C. H. Gerretsen, The Number Concept[REVIEW]Alfons Borgers - 1959 - Journal of Symbolic Logic 24 (2):187-187.
  17. The Number Concept: Its Origin and Development.John Dewey - 1896 - Psychological Review 3 (3):326-329.
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  18. Number-Concept and Number-Idea.D. F. M. Strauss - 1970 - Philosophia Reformata 35 (3-4):156-177.
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  19.  30
    Frege's ‘On the Concept of Number’ – an Unnoticed Publication.David Sullivan - 2016 - British Journal for the History of Philosophy 24 (4):764-768.
    ABSTRACTA short piece by Frege, heretofore overlooked, containing a précis of his views on the concept of number, is presented, after some very brief questions about Frege's possible involvement in the wider intellectual milieu.
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  20. The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number.J. L. Austin (ed.) - 1950 - Northwestern University Press.
    _The Foundations of Arithmetic_ is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis. The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.
     
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  21.  2
    Effects of Probability of Misinformation and Number of Irrelevant Dimensions Upon Concept Identification.Vladimir Pishkin - 1960 - Journal of Experimental Psychology 59 (6):371.
  22.  5
    Effects of Number of Irrelevant Dimensions in Nonconjunctive Concept Learning.Robert C. Haygood & Michael Stevenson - 1967 - Journal of Experimental Psychology 74 (2, Pt.1):302-304.
  23.  6
    Effect of Number of Values and Irrelevant Dimensions on Dimension Selection and Associative Learning in a Multiple Concept Problem.J. Douglas Overstreet & J. L. Dunham - 1969 - Journal of Experimental Psychology 79 (2p1):265.
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  24.  3
    Selection Strategies in Concept Attainment as a Function of Number of Persons and Stimulus Display.Patrick R. Laughlin - 1965 - Journal of Experimental Psychology 70 (3):323.
  25.  3
    Number and Type of Available Instances in Concept Learning.Vladimir Pishkin & Aaron Wolfgang - 1965 - Journal of Experimental Psychology 69 (1):5.
  26.  2
    Selection Strategies in Concept Attainment as a Function of Number of Relevant Problem Attributes.Patrick R. Laughlin - 1966 - Journal of Experimental Psychology 71 (5):773.
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  27.  3
    Concept Attainment as a Function of Instance Contiguity and Number of Irrelevant Dimensions.Roger L. Dominowski - 1969 - Journal of Experimental Psychology 82 (3):573.
  28.  2
    Concept Identification as a Function of Sensory Modality, Information, and Number of Persons.Patrick R. Laughlin, Christine A. Kalowski, Mary E. Metzler, Kathleen M. Ostap & Saulene M. Venclovas - 1968 - Journal of Experimental Psychology 77 (2):335.
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  29.  2
    Verbal Concept Attainment: A Function of the Number of Positive and Negative Instances Presented.M. S. Mayzner - 1962 - Journal of Experimental Psychology 63 (3):314.
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  30.  1
    Concept Identification as a Function of Probability of Positive Instances and Number of Relevant Dimensions.Roger W. Schvaneveldt - 1966 - Journal of Experimental Psychology 72 (5):649.
  31. Frege, Carnap, and Explication: ‘Our Concern Here Is to Arrive at a Concept of Number Usable for the Purpose of Science’.Gregory Lavers - 2013 - History and Philosophy of Logic 34 (3):225-41.
    This paper argues that Carnap both did not view and should not have viewed Frege's project in the foundations of mathematics as misguided metaphysics. The reason for this is that Frege's project was to give an explication of number in a very Carnapian sense — something that was not lost on Carnap. Furthermore, Frege gives pragmatic justification for the basic features of his system, especially where there are ontological considerations. It will be argued that even on the question of (...)
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  32.  32
    Mathematical Roots of Phenomenology: Husserl and the Concept of Number.Mirja Hartimo - 2006 - History and Philosophy of Logic 27 (4):319-337.
    The paper examines the roots of Husserlian phenomenology in Weierstrass's approach to analysis. After elaborating on Weierstrass's programme of arithmetization of analysis, the paper examines Husserl's Philosophy of Arithmetic as an attempt to provide foundations to analysis. The Philosophy of Arithmetic consists of two parts; the first discusses authentic arithmetic and the second symbolic arithmetic. Husserl's novelty is to use Brentanian descriptive analysis to clarify the fundamental concepts of arithmetic in the first part. In the second part, he founds the (...)
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  33.  8
    The Future of the Concept of Infinite Number.Jeremy Gwiazda - unknown
    In ‘The Train Paradox’, I argued that sequential random selections from the natural numbers would grow through time. I used this claim to present a paradox. In response to this proposed paradox, Jon Pérez Laraudogoitia has argued that random selections from the natural numbers do not grow through time. In this paper, I defend and expand on the argument that random selections from the natural numbers grow through time. I also situate this growth of random selections in the context of (...)
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  34. The Concept of Number: Multiplicity and Succession Between Cardinality and Ordinality.Daniël Fm Strauss - 2006 - South African Journal of Philosophy 25 (1):27-47.
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  35.  85
    Frege Versus Cantor and Dedekind: On the Concept of Number.William Tait - manuscript
    There can be no doubt about the value of Frege's contributions to the philosophy of mathematics. First, he invented quantification theory and this was the first step toward making precise the notion of a purely logical deduction. Secondly, he was the first to publish a logical analysis of the ancestral R* of a relation R, which yields a definition of R* in second-order logic.1 Only a narrow and arid conception of philosophy would exclude these two achievements. Thirdly and very importantly, (...)
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  36.  4
    A Philosophical Inquiry Into the Concept of Number.Joongol Kim - 2004 - Dissertation, University of Notre Dame
    The dissertation is an inquiry into the ontology and epistemology of numbers. As regards the former, the Fregean conception of numbers as objects and the Russellian conception of numbers as higher-level entities are both critically examined. A conception of numbers as modes of existence , that is, ways or manners in which things exist, is introduced and defended instead. As regards the latter, the basic concepts of arithmetic are explicated in terms of pure logic alone, and all the truths of (...)
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  37. On the Concept of Number: Psychological Analysis.Edmund Husserl - 1972 - Philosophia Mathematica (1):44-52.
  38.  26
    The Concept of a Natural Number.Christopher Peacocke - 1998 - Australasian Journal of Philosophy 76 (1):105 – 109.
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  39. On the Concept of Number.David Hilbert - 1996 - In William Bragg Ewald (ed.), From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Oxford University Press. pp. 2--1089.
  40.  15
    Introduction to Husserl's Lecture On the Concept of Number (WS 1889/90).Carlo Ierna - 2005 - New Yearbook for Phenomenology and Phenomenological Philosophy 5:276-277.
  41. Edmund Husserl: Lecture On the Concept of Number.Edmund Husserl - forthcoming - The New Yearbook for Phenomenology and Phenomenological Philosophy.
     
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  42.  1
    The Foundations of Arithmetic. A Logico-Mathematical Enquiry Into the Concept of Number.E. N., Gottlob Frege & J. L. Austin - 1951 - Journal of Philosophy 48 (10):342.
  43.  10
    The Foundations of Arithmetic. A Logico-Mathematical Enquiry Into the Concept of Number[REVIEW]N. E. - 1951 - Journal of Philosophy 48 (10):342-342.
  44.  14
    The Making of an Abstract Concept: Natural Number.Susan Carey - 2010 - In Denis Mareschal, Paul Quinn & Stephen E. G. Lea (eds.), The Making of Human Concepts. Oxford University Press. pp. 265.
  45.  8
    The Idea of the Will Implies Agency and Choice Between Possible Actions. It Also Implies a Kind of Determination to Carry Out an Action Once It has Been Chosen; a Posi-Tive Drive or Desire to Accomplish an Action. The Saying “Where There'sa Will There'sa Way” Expresses This Notion as a Piece of Folk Wisdom. These Are Pragmatically and Experientially Informed Dimensions of the Idea. But in Ad-Dition, the Concept of the Will as It Appears in a Number of Cross-Cultural and Historical Contexts Implies a Further Framework, the Framework of Cosmol. [REVIEW]How Can Will Be & Imagination Play - 2010 - In Keith M. Murphy & C. Jason Throop (eds.), Toward an Anthropology of the Will. Stanford University Press.
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  46.  3
    Frege Gottlob, The Foundations of Arithmetic. A Logico-Mathematical Enquiry Into the Concept of Number. German with English Translation by Austin J. L.. Basil Blackwell, Oxford 1950; Philosophical Library, New York 1950; Pages I–Xii, I–XI, 1–119, and Parallel Pages Vie–Xiie, Ie–XIe, 1 E–119 E. [REVIEW]Max Black - 1951 - Journal of Symbolic Logic 16 (1):67.
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  47.  5
    Review: Gottlob Frege, J. L. Austin, The Foundations of Arithmetic. A Logico-Mathematical Enquiry Into the Concept of Number[REVIEW]Max Black - 1951 - Journal of Symbolic Logic 16 (1):67-67.
  48.  3
    The Effect of Number of Response Categories on Unidimensional Concept Identification.William J. Thomson & Albert L. Porterfield - 1980 - Bulletin of the Psychonomic Society 15 (3):160-162.
  49.  11
    Infinity and the Generalization of the Concept of Number.Harold Chapman Brown - 1908 - Journal of Philosophy, Psychology and Scientific Methods 5 (23):628-634.
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  50.  2
    On the Concept of Number: Psychological Analysis.Edmund Husserl - 1973 - Philosophia Mathematica 1:37-87.
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