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[null,"1.","Record Nr.",null,"UNINA9910484437903321"]
[null,null,"Autore",null,"Santos Paulo Guilherme"]
[null,null,"Titolo",null,"Diagonalization in Formal Mathematics / / by Paulo Guilherme Santos"]
[null,null,"Pubbl/distr/stampa",null,"Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2020"]
[null,null,"ISBN",null,"3-658-29111-7"]
[null,null,"Edizione",null,"[1st ed. 2020.]"]
[null,null,"Descrizione fisica",null,"1 online resource (94 pages)"]
[null,null,"Collana",null,"BestMasters, , 2625-3577"]
[null,null,"Disciplina",null,"510"]
[null,null,"Soggetti",null,"Logic, Symbolic and mathematical"]
[{"$nulls":4},"Logic"]
[{"$nulls":4},"Mathematical Logic and Foundations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Diagonalization in Mathematics -- Diagonalization Lemma -- Fixed Point Theorems -- Paradoxes: Liar, Yablo’s Paradox, Curry’s Paradox."]
[null,null,null,"Sommario/riassunto","In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo’s paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics. Contents Diagonalization in Mathematics Diagonalization Lemma Fixed Point Theorems Paradoxes: Liar, Yablo’s Paradox, Curry’s Paradox Target Groups Researchers and students in the fields of mathematics and philosophy The Author Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tübingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes."]