17. The Bourbaki project explicitly espoused a set-theoretic version of mathematical structuralism.
18. Dieudonné in Lautman,Essai sur l’unité, pp. 15–20.
19. According to mathematical structuralism, mathematical objects are defi ned by their positions in mathematical structures, and the subject matter that mathematics concerns itself with are structural relationships in abstraction from the intrinsic nature of the related objects. See Geoffrey Hellman, ‘Structuralism’, in Stewart Shapiro (ed.),The Oxford Handbook of Philosophy of Mathematics and Logic (Oxford: Oxford University Press, 2005), p. 256.
20. Dieudonné in Lautman,Essai sur l’unité, p. 16.
21. Lautman,Essai sur l’unité, p. 24.
22. Lautman,Essai sur l’unité, p. 38.
23. Lautman,Essai sur l’unité, p. 23. The logicist thesis was that the basic concepts of mathematics are defi nable by means of logical notions, and the key axioms of mathematics are deducible from logical principles alone.
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