Journal of Philosophical Logic 51 (3):583-602 (2022)

Authors
Giorgio Venturi
University of Campinas
Abstract
In this paper, we argue for an instrumental form of existence, inspired by Hilbert’s method of ideal elements. As a case study, we consider the existence of contradictory objects in models of non-classical set theories. Based on this discussion, we argue for a very liberal notion of existence in mathematics.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10992-021-09642-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,436
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

In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
Forcing and the Universe of Sets: Must We Lose Insight?Neil Barton - 2020 - Journal of Philosophical Logic 49 (4):575-612.

View all 17 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

How Can Abstract Objects of Mathematics Be Known?†.Ladislav Kvasz - 2019 - Philosophia Mathematica 27 (3):316-334.
Rawlsian Theory and the Circumstances of Politics.Andrew Mason - 2010 - Political Theory 38 (5):658-683.
Ideal Theory: True and False. [REVIEW]Peter Stone - 2021 - Ethical Theory and Moral Practice 24 (1):375-380.
Tragedies of Non-Ideal Theory.Robert Jubb - 2012 - European Journal of Political Theory 11 (3):229-246.
Can Rawls’s Non-Ideal Theory Save His Ideal Theory?Hye-Ryoung Kang - 2016 - Social Theory and Practice 42 (1):32-56.
Ideal Vs. Non‐Ideal Theory: A Conceptual Map.Laura Valentini - 2012 - Philosophy Compass 7 (9):654-664.
Can Rawls’s Nonideal Theory Save His Ideal Theory?Hye Ryoung Kang - 2016 - Social Theory and Practice 42 (1):32-56.
Ideal Elements in Hilbert's Geometry.John Stillwell - 2014 - Perspectives on Science 22 (1):35-55.

Analytics

Added to PP index
2022-01-07

Total views
11 ( #856,162 of 2,520,404 )

Recent downloads (6 months)
9 ( #79,256 of 2,520,404 )

How can I increase my downloads?

Downloads

My notes