Abstract
Now that we have established the ‘psychological’ nature of the collective combination, we can bring to completion our task of exhibiting the origin and content of the concepts multiplicity and cardinal number, and those of the individual numbers as well.
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Notes
Metaphysik, Leipzig 1879, pp. 530/31
Tonpsychologie, Book I, p. 96
James Mill assigns the name “cardinal number” to that category of names which he calls “names of names.” (Cp. Analysis, Vol. II, p. 4) This is a highly inappropriate manner of expression. “Cardinal number” did not arise as a general name for the names “two,” “three,” etc., but rather for the concepts designated by means of them, whose inherent kinship offered the reason and the occasion for a common term.
Cp. E. B. Tylor, Primitive Culture, Vol. I, ch. 7, “The Art of Counting,” London 1871, p. 240, and J. Lubbock, The Origin of Civilization and the Primitive Condition of Man, London 1870. LE
De Anima, Book II, ch. 6, p. 418, a 16; Book III, ch. 1, p. 425, a 13; etc. (Becker edition, Berlin 1831). Cp. Fr. Brentano, Die Psychologie des Aristoteles, Mainz 1867, p. 83. Leibniz, among others, also followed Aristotle. See his Meditationes de cogitatione, veritate et ideis (1684), Opera philosophica, ed. Erdmann, p. 79.
Essay, Book II, ch. VII, sect. 7.
Essay, Book II, ch. VIII, sects. 11, 17, etc. Cp. the critique of Baumann’s views in chapter two of this present work.
Chr. Sigwart, Logik, First edition, Vol. II, Freiburg i. Br. 1878, p. 39 ff.
Logik, Vol. I, Stuttgart 1880, p. 468.
Ibid.
Op. cit., p. 469. LE
Op. cit., p. 470. LE
“The number as a combination of units is first of all the positive number and … whole number.” Op. cit., p. 469.
Op. cit., pp. 470f. LE
Op. cit., p. 468.
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Husserl, E. (2003). Analysis of the Concept of Number in Terms of its Origin and Content. In: Philosophy of Arithmetic. Edmund Husserl, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0060-4_5
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