David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Analysis 69 (3):461-469 (2009)
A well-known proof by Alonzo Church, first published in 1963 by Frederic Fitch, purports to show that all truths are knowable only if all truths are known. This is the Paradox of Knowability. If we take it, quite plausibly, that we are not omniscient, the proof appears to undermine metaphysical doctrines committed to the knowability of truth, such as semantic anti-realism. Since its rediscovery by Hart and McGinn ( 1976), many solutions to the paradox have been offered. In this article, we present a new proof to the effect that not all truths are knowable, which rests on different assumptions from those of the original argument published by Fitch. We highlight the general form of the knowability paradoxes, and argue that anti-realists who favour either an hierarchical or an intuitionistic approach to the Paradox of Knowability are confronted with a dilemma: they must either give up anti-realism or opt for a highly controversial interpretation of the principle that every truth is knowable.
|Keywords||Knowability Anti-realism Idealisation Fitch's Paradox|
|Categories||categorize this paper)|
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
Michael Dummett (1975). Wang's Paradox. Synthese 30 (3-4):201--32.
Alexander Paseau (2008). Fitch's Argument and Typing Knowledge. Notre Dame Journal of Formal Logic 49 (2):153-176.
Timothy Williamson (1982). Intuitionism Disproved? Analysis 42 (4):203--7.
Citations of this work BETA
Massimiliano Carrara & Davide Fassio (2011). Why Knowledge Should Not Be Typed: An Argument Against the Type Solution to the Knowability Paradox. Theoria 77 (2):180-193.
Julien Murzi (2010). Knowability and Bivalence: Intuitionistic Solutions to the Paradox of Knowability. [REVIEW] Philosophical Studies 149 (2):269 - 281.
Julien Murzi (2012). Manifestability and Epistemic Truth. Topoi 31 (1):17-26.
Similar books and articles
Elia Zardini, If Every True Proposition is Knowable, Then Every Believed (Decidable) Proposition is True, or the Incompleteness of the Intuitionistic Solution to the Paradox of Knowability.
Paolo Maffezioli, Alberto Naibo & Sara Negri (2013). The Church–Fitch Knowability Paradox in the Light of Structural Proof Theory. Synthese 190 (14):2677-2716.
Samuel Alexander (2013). An Axiomatic Version of Fitch's Paradox. Synthese 190 (12):2015-2020.
Jonathan Kvanvig (2009). Restriction Strategies for Knowability : Some Lessons in False Hope. In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press.
Greg Restall (2009). Not Every Truth Can Be Known (at Least, Not All at Once). In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press. 339--354.
Bernhard Weiss (2007). Truth and the Enigma of Knowability. Dialectica 61 (4):521–537.
Rafał Palczewski (2007). Distributed Knowability and Fitch's Paradox. Studia Logica 86 (3):455--478.
Berit Brogaard & Joe Salerno, Fitch's Paradox of Knowability. The Stanford Encyclopedia of Philosophy.
Joe Salerno (ed.) (2009). New Essays on the Knowability Paradox. Oxford University Press.
Added to index2009-07-01
Total downloads113 ( #11,813 of 1,679,387 )
Recent downloads (6 months)5 ( #47,846 of 1,679,387 )
How can I increase my downloads?