Geodesic
New axioms in set theory
Matematica, cultura e società, Série 1, Tome 3 (2018) no. 3, pp. 211-236 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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In this article we review the present situation in the foundations of set theory, discussing two programs meant to overcome the undecidability results, such as the independence of the continuum hypothesis; these programs are centered, respectively, on forcing axioms and Woodin's V = Ultimate-L conjecture. While doing so, we briefly introduce the key notions of set theory. 
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     author = {Venturi, Giorgio and Viale, Matteo},
     title = {New axioms in set theory},
     journal = {Matematica, cultura e societ\`a},
     pages = {211--236},
     year = {2018},
     volume = {Ser. 1, 3},
     number = {3},
     mrnumber = {3888477},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RUMI_2018_1_3_3_a3/}
}
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Venturi, Giorgio; Viale, Matteo. New axioms in set theory. Matematica, cultura e società, Série 1, Tome 3 (2018) no. 3, pp. 211-236. http://geodesic.mathdoc.fr/item/RUMI_2018_1_3_3_a3/