The Church–Fitch knowability paradox in the light of structural proof theory

Synthese ◽  
2012 ◽  
Vol 190 (14) ◽  
pp. 2677-2716 ◽  
Author(s):  
Paolo Maffezioli ◽  
Alberto Naibo ◽  
Sara Negri
Author(s):  
Sara Negri ◽  
Jan von Plato ◽  
Aarne Ranta

2006 ◽  
Vol 115 (2) ◽  
pp. 255-258
Author(s):  
H. T. Hodes

2006 ◽  
Vol 115 (2) ◽  
pp. 255-258
Author(s):  
Harold T. Hodes

Author(s):  
J. Espírito Santo ◽  
M. J. Frade ◽  
L. Pinto

2020 ◽  
Vol 62 (1) ◽  
pp. 53-71
Author(s):  
Arkadiusz Wójcik

Abstract In this paper we undertake an analysis of the knowability paradox in the light of modal epistemic logics and of the phenomena of unsuccessful updates. The knowability paradox stems from the Church-Fitch observation that the plausible knowability principle, according to which all truths are knowable, yields the unacceptable conclusion that all truths are known. We show that the phenomenon of an unsuccessful update is the reason for the paradox arising. Based on this diagnosis, we propose a restriction on the knowability principle which resolves the paradox.


2019 ◽  
Vol 29 (8) ◽  
pp. 1007-1008
Author(s):  
David Baelde ◽  
Amy Felty ◽  
Gopalan Nadathur ◽  
Alexis Saurin

The genesis of this special issue was in a meeting that took place at Université Paris Diderot on December 15 and 16, 2016. Dale Miller, Professor at École polytechnique, had turned 60 a few days earlier. In a career spanning over three decades and in work conducted in collaboration with several students and colleagues, Dale had had a significant influence in an area that can be described as structural proof theory and its application to computation and reasoning. In recognition of this fact, several of his collaborators thought it appropriate to celebrate the occasion by organizing a symposium on topics broadly connected to his areas of interest and achievements. The meeting was a success in several senses: it was attended by over 35 people, there were 15 technical presentations describing new results, and, quite gratifyingly, we managed to spring the event as a complete surprise to Dale.


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