Abstract
Kant’s Critique of Pure Reason intends, in part, to be a theory of science; to what extent is a matter of interpretation. Of the German philosophical systems inspired by him, some sought to abolish, conserve and transform his premises all at once — in the famous triple sense that Hegel ascribed to ’sublation’ (Aufhebung). Others regarded their own philosophy as a creative interpretation of Kant’s system. The former group, the speculative idealists like Fichte, Schelling and Hegel, lost any specific interest in the foundations of the exact sciences — in the same way as scientists rarely sought contact with them: they rather tended to stress the gap between speculation and Wissenschaft. A scientific orientation was retained or revived among those philosophers who viewed themselves as authentic interpreters of Kant — from Solomon Maimon to the School of Marburg. Neo-Kantianism, like phenomenology a generation later, began with a protest against vulgar positivism (or psychologism). Yet Husserl — particularly in the Logische Untersuchungen — took some of his leading models from pure mathematics and tried to develop an empirical idealism of sorts, i.e. a taxonomy of concrete a priori entities; while the Neo-Kantians of Marburg (as opposed to those in Baden) were guided by models derived from mathematical physics.
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Notes
The paradoxes of induction involve either the syntax of law-like statements (such as the Raven Paradox) or their predicates (such as Goodman’s Paradox). In the latter case, the paradox applies as much to the possibility of verification as it does to the possibility of falsification. Every inductive generalization which summarizes previous observations in the forms (x)(A(x)B(x)) can be said to be either’verified’ or’not falsified’ irrespective of whether we shall find in the future that B(x) or that B(x) is the case, since it is quite possible that the property (predicate) that we interpreted as B(x) in the past was, in reality, another property B(x t-o) B(x t>o), which behaves like B(x) in the past. Cf. N. Goodman, Facts, Fiction and Forecast (Indianapolis, 1965), pp. 59–83.
G.W. Leibniz, Philosophische Schriften, ed. C.I. Gebhart (Berlin, 1885; reprint Hildesheim, 1965), IV, p. 6; VI, pp. 50, 321; VII, pp. 278, 303, 304, 603. Cf. A. Funkenstein, “The Dialectical Preparation of Scientific Revolutions,” in: The Copernican Achievement, ed. R. Westman (Los Angeles, 1975), pp. 165–203, esp. 178–187.
William of Ockham, Centiloquium theologicum, concl. VI. Both in my article (note 2) and elsewhere (“Continuity and Change in 17th Century Thought and Science,” Publications of the Israel Academy of Sciences, VI, 6, Jerusalem, 1981, pp. 101–131) I have argued that, in contrast to the Middle Ages, science in the seventeenth century employed counterfactual states - ideal experiments - not to demonstrate God’s omnipotence, but as limiting cases of reality. Such thought-experiments (e.g. inertial motion) do not describe reality, yet are constitutive for its understanding. Cf. p. 59.
Thomas Aquinas, Summa Theologiae 9 q. 25 a. 5 resp. 3; De Potentia q. 3.a. 17, p. 103. In both places, Aquinas employs the remarks of Maimonides about the limit of every rationalization — that is, the element of contingency necessary in every conception of universal order. Cf. my comment in Miscellanea Medievalia XI (1977), p. 89, n. 27.
Immanuel Kant, Kritik der reinen Vernunft (hereafter KdrV), Gesammelte Schriften (Berlin, 1911), B 599–611.
Ibid., B 95–98.
Aristotle, Metaphysica V, 1022b22.
A. Maier, Kants Qualitätskategorien (Kantstudien 65), Berlin 1930, pp. 8–23; “Die Mathematik der Formalattituden,” in: An der Grenze von Scholastik und Naturwissenschaft (Rome, 1922); E. Sylla, “Medieval Conceptions of the Latitude of Forms — the Oxford Calculatores,” Archive d’Histoire doctrinale et literaire du Moyen Age 51 (1974): 223–283.
Kant, KdrV, B 611 (note).
Hermann Cohen, Logik der reinen Erkenntnis (Berlin, 19142), p. 68. In the following, I have not attempted to root out the shift from Cohen’s earlier perspective (in: Das Prinzip der Infinitissemalmethode und seine Geschichte (reprint, Frankfurt am Main, 1968)) to his mature theory of science.
B. Croce, Die Philosophie Giambattista Vico’s, transl. E. Auerbach and Th. Lucke (Tübingen, 1927), pp. 3–17;
K. Löwith, “Vico’s Grundsatz: verum et factum convertuntur,” in: Aufsatze und Vortrdge 1930–1970 (Stuttgart, 1971), pp. 157–188
S.H. Bergmann, “The Principle of Apriority in the Philosophy of Hermann Cohen,” Knesset 1944; Introduction to Logic (Jerusalem, 1953), pp. 210–213.
W. Marx, Transzendentale Logik als Wissenschaftstheorie (Frankfurt am Main, 1977), pp. 103 ff., esp. 119 ff.
Since this is so, W. Marx argues that Cohen never succeeds in establishing science as the exclusive property of pure thought (op. cit., pp. 133–154). But he does not treat self- referential structures in Cohen’s interpretation explicitly.
Above note 3.
D. Henrich, Hegel im Kontext (Frankfurt am Main, 1971), pp. 95 ff., showed how the dialectical moves in the Wesenslogik can be interpreted as a logic of explication. Cohen, whose logic is both open-ended and nothing but a logic of scientific discovery, renders himself even better for such a perspective.
W.O. Quine, “The Two Dogmas of Empiricism,” From a Logical Point of View (Cambridge, Mass., 1953)
H.P. Grice and F.P. Strawson, “On Defense of a Dogma,” Philosophical Review 65 (1956): 141–158.
Robert Musil, Der Mann ohne Eigenschaften (Hamburg, 1952), p. 40.
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Funkenstein, A. (1986). The Persecution of Absolutes: On the Kantian and Neo-Kantian Theories of Science. In: Ullmann-Margalit, E. (eds) The Kaleidoscope of Science. Boston Studies in the Philosophy of Science, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5496-0_5
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