From Lawvere to Brandenburger-Keisler: Interactive Forms of Diagonalization and Self-reference

Abstract : Diagonal arguments lie at the root of many fundamental phenomena in the foundations of logic and mathematics. Recently, a striking form of diagonal argument has appeared in the foundations of epistemic game theory, in a paper by Adam Brandenburger and H. Jerome Keisler [11]. The core Brandenburger-Keisler result can be seen, as they observe, as a two-person or interactive version of Russell’s Paradox.
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Dirk Pattinson; Lutz Schröder. 11th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Mar 2012, Tallinn, Estonia. Springer, Lecture Notes in Computer Science, LNCS-7399, pp.1-19, 2012, Coalgebraic Methods in Computer Science. 〈10.1007/978-3-642-32784-1_1〉
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Samson Abramsky, Jonathan Zvesper. From Lawvere to Brandenburger-Keisler: Interactive Forms of Diagonalization and Self-reference. Dirk Pattinson; Lutz Schröder. 11th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Mar 2012, Tallinn, Estonia. Springer, Lecture Notes in Computer Science, LNCS-7399, pp.1-19, 2012, Coalgebraic Methods in Computer Science. 〈10.1007/978-3-642-32784-1_1〉. 〈hal-01539890〉

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