Quantification [electronic resource] : transcending beyond Frege's boundaries : a case study in transcendental-metaphysical logic / by Aleksy Mołczanow.

Format:

Book

Author/Creator:

Mołczanow, Aleksy.

Series:

Critical studies in German idealism ; v. 5.

Critical studies in German idealism, 1878-9986 ; v. 5

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Frege, Gottlob, 1848-1925.

Frege, Gottlob.

Kant, Immanuel, 1724-1804.

Kant, Immanuel.

Physical Description:

1 online resource (250 p.)

Edition:

1st ed.

Place of Publication:

Leiden ; Boston : Brill, 2012.

Language Note:

English

Summary:

In his attempt to give an answer to the question of what constitutes real knowledge, Kant steers a middle course between empiricism and rationalism. True knowledge refers to a given empirical reality, but true knowledge has to be understood as necessary as well, and so consequently, must be a priori. Both demands can only be reconciled if synthetic a priori judgments are possible. To ground this possibility, Kant develops his transcendental logic. In Frege’s program of providing a logicistic basis for true knowledge the same problem is at issue: his logicist solution places the quantifier into the position of the basic element connected to the truth of a proposition. As the basic element of a theory of logic, it refers at the same time to something in reality. Mołczanow argues that Frege’s program fails because it does not pay sufficient attention to Kant’s transcendental logic. Frege interprets synthetic a priori judgments as ultimately analytic, and thus falls back onto a Leibnizian rationalism, thereby ignoring Kant’s middle course. Under the title of the transcendental analytic of quantification Mołczanow discusses Frege’s concept of quantification. For Frege, the proper analysis of number words and the categories of quantity raises problems which can only be solved, according to Mołczanow, with the help of Kant’s transcendental logic. Mołczanow’s book thus deserves its places in the series Critical Studies in German Idealism because it provides a further elaboration of Kant’s transcendental logic by bringing it into conversation with contemporary logic. The result is a new conception of the nature of quantification which speaks to our time.

Contents:

Preliminary Material

1 The Favoured Distinction

2 The Principle of Identity and Its Instances

3 Reference and Causality

4 Peirce’s Categories and the Transcendental Logic

5 Godel’s Incompleteness Theorem and the Downfall of Rationalism: Vindication of Kant’s Synthetic A Priori

Conclusion

References

Index.

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

1-280-12672-8

9786613530585

90-04-22417-3

OCLC:

782879964

Publisher Number:

10.1163/9789004224179 DOI