The Quest for a Logic of Discovery

Cellucci, Carlo

doi:10.1007/978-94-007-6091-2_9

Carlo Cellucci³

Part of the book series: Logic, Argumentation & Reasoning ((LARI,volume 1))

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Abstract

While not involving a break with Aristotle as regards the scientific method, the Scientific Revolution of the seventeenth century gave rise to a considerable debate over the nature of logic. In particular, it led to a quest for a logic of discovery. The most important thinkers of the age took part in such a debate. Some of them considered a logic of discovery to be opposed to Scholastic logic, others to be just an improvement over it.

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Notes

1.
Bacon (1961–1986, I, 136).
2.
Ibid.
3.
Ibid., I, 363.
4.
Ibid.
5.
Ibid., I, 135.
6.
Ibid.
7.
Ibid., I, 136.
8.
Ibid.
9.
Ibid., I, 235.
10.
Ibid.
11.
Ibid., I, 137.
12.
Ibid., I, 138.
13.
Ibid.
14.
Ibid., I, 205.
15.
Ibid.
16.
Ibid., I, 236.
17.
Ibid., I, 238.
18.
Ibid.
19.
Ibid.
20.
Ibid., I, 247–248.
21.
Ibid., I, 248.
22.
Ibid., I, 256.
23.
Ibid., I, 257.
24.
Ibid., I, 137.
25.
Ibid., I, 261.
26.
Ibid.
27.
Ibid., I, 262.
28.
Ibid., I, 152.
29.
Ibid., I, 172.
30.
Descartes (1996, VI, 17).
31.
Ibid., X, 406.
32.
Ibid., X, 439–440.
33.
Ibid., IX–2, 13–14.
34.
Ibid., X, 156–157.
35.
Ibid., X, 157.
36.
Ibid., X, 376.
37.
Ibid., VII, 156.
38.
Ibid., X, 376–377.
39.
Ibid., X, 376.
40.
Ibid., X, 377.
41.
Ibid., X, 379.
42.
Ibid., X, 383.
43.
Ibid., X, 379.
44.
Ibid., X, 383.
45.
Ibid., VII, 155.
46.
Ibid., IX–1, 121.
47.
Ibid., VI, 76.
48.
Ibid., II, 197–198.
49.
Ibid., VII, 155.
50.
Ibid., VI, 76.
51.
Ibid., II, 198.
52.
Ibid., X, 427.
53.
Ibid., VII, 155.
54.
Ibid.
55.
Ibid. VII, 155–156.
56.
Ibid., VII, 156.
57.
Ibid.
58.
Ibid., VII, 156–157.
59.
Ibid., VII, 156.
60.
Ibid.
61.
Ibid. X, 375.
62.
Ibid.
63.
Ibid., X, 362.
64.
Ibid.
65.
Ibid., X, 368.
66.
Ibid., X, 425.
67.
Ibid., X, 370.
68.
Ibid., X, 383.
69.
Ibid., X, 368.
70.
Ibid., X, 407.
71.
Ibid., IX–1, 30.
72.
Ibid., X, 369.
73.
Ibid., X, 428.
74.
Ibid., X, 369.
75.
Ibid., X, 407.
76.
Ibid., X, 369.
77.
Ibid., X, 370.
78.
Ibid., X, 369–370.
79.
Ibid., X, 387.
80.
Ibid.
81.
Ibid., X, 388.
82.
Ibid., II, 597.
83.
Ibid., X, 372.
84.
Ibid.
85.
Ibid., VII, 22.
86.
Ibid., VII, 25.
87.
Ibid., VIII–1, 7.
88.
Ibid., VII, 140.
89.
Ibid., V, 138.
90.
Ibid., X, 521.
91.
Ibid., VI, 4.
92.
Ibid.
93.
Ibid., I, 349.
94.
Ibid.
95.
Ibid., VII, 455.
96.
Ibid., VII, 455–456.
97.
Ibid., VII, 71.
98.
Ibid., VII, 141.
99.
Leibniz (1965, VII, 516).
100.
Ibid., VII, 481.
101.
Leibniz (1948, 22).
102.
Leibniz (1965, V, 461).
103.
Ibid., V, 463.
104.
Ibid., VII, 516.
105.
Ibid.
106.
Ibid., IV, 329.
107.
Leibniz (1971, VII, 206).
108.
Leibniz (1965, VII, 297).
109.
Ibid.
110.
Ibid., VII, 523.
111.
Ibid., VII, 180.
112.
Leibniz (1988, 159).
113.
Leibniz (1965, VII, 205).
114.
Leibniz (1988, 430).
115.
Leibniz (1965, VII, 292).
116.
Ibid., VII, 293.
117.
Leibniz (1966, 80).
118.
Leibniz (1971, IV, 461).
119.
Ibid., VII, 17.
120.
Ibid.
121.
Leibniz (1965, VII, 26).
122.
Ibid., VII, 187.
123.
Ibid., VII, 32.
124.
Leibniz (1971, VII, 187).
125.
Ibid., VII, 555.
126.
Leibniz (1988, 256).
127.
Leibniz (1966, 58).
128.
Leibniz (1965, VII, 14).
129.
Ibid., VII, 202.
130.
Ibid., VII, 25.
131.
Ibid.
132.
Couturat (1961, 161).
133.
Leibniz (1965, V, 392).
134.
Ibid., VII, 14.
135.
Ibid., IV, 423.
136.
Ibid., V, 434.
137.
Ibid., IV, 453.
138.
Ibid., V, 373.
139.
Scholz (1961, 50).
140.
Kant (2003, 8).
141.
Ibid.
142.
Ibid., 8–9.
143.
Kant (1992, 528).
144.
Ibid.
145.
Kant (1997a, 672, B 824).
146.
Kant (2005, 32).
147.
Kant (1992, 528).
148.
Ibid., 529.
149.
Kant (1997a, 199, B 86).
150.
Ibid.
151.
Kant (1998, II, 279).
152.
Kant (1992, 529).
153.
Ibid., 534. This does not mean that Kant did not think of a methodology of discovery, although not as a part of logic as a canon but as a part of the doctrine of method; see Capozzi (2006).
154.
Kant (1992, 529).
155.
Ibid., 532.
156.
Ibid., 252.
157.
Kant (1997a, 195, B 78–79).
158.
Kant (1992, 252).
159.
Ibid., 532.
160.
Ibid.
161.
Ibid., 434.
162.
Kant (1997a, 195, B 78).
163.
Kant (1900–, XXIV, 611).
164.
Kant (1992, 529).
165.
Ibid.
166.
Kant (1997a, 195, B 79).
167.
Kant (1992, 529).
168.
Kant (1900–, XXIV, 694).
169.
Kant (1997a, 194, B 77).
170.
Ibid.
171.
Kant (1992, 532–533).
172.
Kant (1997a, 194, B 77).
173.
Ibid., 195, B 78.
174.
Kant (1992, 533).
175.
Ibid.
176.
Ibid.
177.
Ibid.
178.
Kant (1997a, 195, B 77–78).
179.
Kant (1992, 418).
180.
Kant (1900–, XXIV, 610).
181.
Kant (1997a, 194, B 76).
182.
Kant (1992, 418).
183.
Ibid., 511.
184.
Ibid., 418.
185.
Ibid., 85.
186.
Ibid. 639.
187.
Ibid.
188.
Ibid., 278.
189.
Kant (1999a, 47).
190.
Kant (1992, 639).
191.
Ibid., 419.
192.
Ibid., 327.
193.
Kant (1997a, 390, B 361).
194.
Kant (1992, 515).
195.
Ibid., 511.
196.
Ibid., 630.
197.
Kant (2002, 184).
198.
Kant (1997a, 693, B 864).
199.
Kant (2002, 184).
200.
Ibid.
201.
Kant (1997a, 692, B 862).
202.
Ibid., 691, B 861.
203.
Posy (2000, 214).
204.
Kant (1997a, 503, B 504).
205.
Ibid., 505, B 508.
206.
Ibid.
207.
Ibid.
208.
Kant (1998, II, 292).
209.
Kant (1997a, 504, B 505).
210.
Ibid., 505, B 508.
211.
Ibid., 503–504, B 504–505.
212.
Kant (1992, 408).
213.
Kant (1997b, 279).
214.
Kant (1992, 408).
215.
Ibid., 627.
216.
Ibid., 626.
217.
Ibid.
218.
Ibid., 508.
219.
Ibid., 625.
220.
Ibid.
221.
Ibid., 578.
222.
Ibid., 626.
223.
Ibid., 504.
224.
On the development of Kant’s views concerning induction and analogy, see Capozzi (2011).
225.
Mill (1963–1986, VII, 12).
226.
Ibid., VII, 182.
227.
Ibid., VII, 10, footnote b.
228.
Ibid., VII, 10.
229.
Ibid., VII, 12.

References

Bacon, Francis. 1961–1986. Works, ed. James Spedding, Robert Leslie Ellis, and Douglas Denon Heath. Stuttgart Bad Cannstatt: Frommann Holzboog.
Google Scholar
Capozzi, Mirella. 2006. Kant on heuristics as a desirable addition to logic. In Demonstrative and non-demonstrative reasoning in mathematics and natural science, ed. Carlo Cellucci and Paolo Pecere, 123–181. Cassino: Edizioni dell’Università degli Studi di Cassino.
Google Scholar
Capozzi, Mirella. 2011. Le inferenze del giudizio riflettente nella logica di Kant: l’induzione e l’analogia. Studi Kantiani 24: 11–48.
Google Scholar
Couturat, Louis (ed.). 1961. Opuscules et fragments inedits de Leibniz. Hildesheim: Georg Olms.
Google Scholar
Descartes, René. 1996. Œuvres, ed. Charles Adam and Paul Tannery. Paris: Vrin.
Google Scholar
Kant, Immanuel. 1900–. Gesammelte Schriften (Akademie Aausgabe). Berlin: Königlich Preußischen Akademie der Wissenschaften.
Google Scholar
Kant, Immanuel. 1992. Lectures on logic, ed. J. Michael Young. Cambridge: Cambridge University Press.
Google Scholar
Kant, Immanuel. 1997a. Critique of pure reason, ed. Paul Guyer and Allen W. Wood. Cambridge: Cambridge University Press.
Google Scholar
Kant, Immanuel. 1997b. Lectures on metaphysics, ed. Karl Ameriks and Steve Naragon. Cambridge: Cambridge University Press.
Google Scholar
Kant, Immanuel. 1998. Logik-Vorlesung. Unveröffentlichte Nachschriften, ed. Tillmann Pinder. Hamburg: Meiner.
Google Scholar
Kant, Immanuel. 1999a. Practical philosophy, ed. Mary J. Gregor. Cambridge: Cambridge University Press.
Google Scholar
Kant, Immanuel. 2002. Theoretical philosophy after 1781, ed. Henry Allison and Peter Heath. Cambridge: Cambridge University Press.
Google Scholar
Kant, Immanuel. 2003. Theoretical philosophy 1755–1770, ed. David Walford and Ralf Meerbote. Cambridge: Cambridge University Press.
Google Scholar
Kant, Immanuel. 2005. Notes and fragments, ed. Paul Guyer. Cambridge: Cambridge University Press.
Google Scholar
Leibniz, Gottfried Wilhelm. 1948. Textes inédits d’après les manuscripts de la Bibliothèque provinciale de Hanovre, ed. Gaston Grua. Paris: Presses Universitaires de France.
Google Scholar
Leibniz, Gottfried Wilhelm. 1965. Die Philosophischen Schriften, ed. Carl Immanuel Gerhardt. Hildesheim: Georg Olms.
Google Scholar
Leibniz, Gottfried Wilhelm. 1966. Handschriften, ed. Eduard Bodemann. Hildesheim: Georg Olms.
Google Scholar
Leibniz, Gottfried Wilhelm. 1971. Mathematische Schriften, ed. Carl Immanuel Gerhardt. Hildesheim: Georg Olms.
Google Scholar
Leibniz, Gottfried Wilhelm. 1988. Opuscules et fragments inédits, ed. Louis Couturat. Hildesheim: Georg Olms.
Google Scholar
Mill, John Stuart. 1963–1986. Collected works, ed. John M. Robson. Toronto: University of Toronto Press.
Google Scholar
Posy, Carl J. 2000. Epistemology, ontology and the continuum. In The growth of mathematical knowledge, ed. Emily Rolfe Grosholz and Herbert Breger, 199–219. Dordrecht: Kluwer.
Chapter Google Scholar
Scholz, Heinrich. 1961. Concise history of logic. New York: Philosophical Library.
Google Scholar

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Sapienza University of Rome, Rome, Italy
Carlo Cellucci

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Cellucci, C. (2013). The Quest for a Logic of Discovery. In: Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method. Logic, Argumentation & Reasoning, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6091-2_9

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DOI: https://doi.org/10.1007/978-94-007-6091-2_9
Published: 17 January 2013
Publisher Name: Springer, Dordrecht
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