Husserl on the 'Totality of all conceivable arithmetical operations'

History and Philosophy of Logic 27 (3):211-228 (2006)
In the present paper, we discuss Husserl's deep account of the notions of ?calculation? and of arithmetical ?operation? which is found in the final chapter of the Philosophy of Arithmetic, arguing that Husserl is ? as far as we know ? the first scholar to reflect seriously on and to investigate the problem of circumscribing the totality of computable numerical operations. We pursue two complementary goals, namely: (i) to provide a formal reconstruction of Husserl's intuitions, and (ii) to demonstrate ? on the basis of our reconstruction ? that the class of operations that Husserl has in mind turns out to be extensionally equivalent to the one that, in contemporary logic, is known as the class of ?partial recursive functions?
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445340600553151
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,165
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
An Unsolvable Problem of Elementary Number Theory.Alonzo Church - 1936 - Journal of Symbolic Logic 1 (2):73-74.
Philosophie der Arithmetik.E. G. Husserl - 1891 - The Monist 2:627.
General Recursive Functions.Julia Robinson - 1951 - Journal of Symbolic Logic 16 (4):280-280.
Recursive Function Theory and Logic.Ann Yasuhara - 1975 - Journal of Symbolic Logic 40 (4):619-620.

Add more references

Citations of this work BETA
Functions in Frege, Bolzano and Husserl.Stefania Centrone - 2010 - History and Philosophy of Logic 31 (4):315-336.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

22 ( #228,502 of 2,171,976 )

Recent downloads (6 months)

1 ( #326,556 of 2,171,976 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums