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On a consistent subsystem of Frege’s Grundgesetze. (English) Zbl 0968.03015
Summary: T. Parsons [ibid. 28, 161-188 (1987; Zbl 0637.03005)] has given a (nonconstructive) proof that the first-order fragment of the system of Frege’s Grundgesetze is consistent. Here a constructive proof of the same result is presented.

MSC:
03B10 Classical first-order logic
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[1] Boolos, G., “Whence the contradiction?,” Aristotelian Society Supplementary , vol. 67 (1993), pp. 213–33. · Zbl 0961.03529
[2] Demopoulos, W., editor, Frege’s Philosophy of Mathematics , Harvard University Press, Cambridge, 1995. · Zbl 0915.03004
[3] Heck, R., “ Grundgesetze der Arithmetik I §§29–32,” Notre Dame Journal of Formal Logic , vol. 38 (1997), pp. 437–74. · Zbl 0915.03005
[4] Parsons, T., “On the consistency of the first-order portion of Frege’s logical system,” Notre Dame Journal of Formal Logic , vol. 28 (1987), pp. 161–88. · Zbl 0637.03005
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