By Vandenbussche D., Nemhauser G. L.
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Extra resources for A branch-and-cut algorithm for nonconvex quadratic programs with box constraints
Relation symétrique.  | 7. Nous venons de définir les deux relations principales qu’on peut concevoir entre deux classes, les deux copules (< et =) sur lesquelles repose toute la Logique. Il convient d’observer que les termes de ces relations peuvent être aussi bien des individus que des classes. Par exemple, si dans l’inclusion : a
E. the point of view of someone who is primarily interested in truth lies somewhere between the two, in a theory not yet developed. This results from the consideration of infinite classes. [. . ] There appears to be here a logical problem, as yet unsolved and almost unconsidered; and in any case, the matter is less simple than M. 1903, I/291). – Couturat recognised in his study La Logique de Leibniz that Leibniz tended to a “comprehensional” point of view, which he criticised (p. 23-24). This aspect of Leibniz was later appreciated particularly by Raili Kauppi 1960, but cf.
Cf. the clarifying discussion in Peckhaus 2004, pp. 7-8. I will discuss van Heijenoort’s conception of logic, which took up Frege’s critique of Boole, below, point 3, p. 26. 2 Couturat 1899b, p. 617, letter to Peano, p. 6, 1901a, p. 55, p. 88 et seqq, and p. 101. The complementary thesis, that language too is a – admittedly imperfect – kind of reasoning machine that replaces the mind, has been explored by Dugas 1896, esp. ch. IV, § 1. 3 Cf. for example Whitehead 1898, p. 4-5, and Husserl 1891b, p.