Sakaé Fuchino and André Ottenbreit Maschio Rodrigues, Reflection principles, generic large cardinals, and the Continuum Problem, submitted.
Sakaé Fuchino, André Ottenbreit Maschio Rodrigues and Hiroshi Sakai, Strong Löwenheim-Skolem theorems for stationary logics, II --- reflection down to the continuum, submitted.
Sakaé Fuchino, André Ottenbreit Maschio Rodrigues and Hiroshi Sakai, Strong Löwenheim-Skolem theorems for stationary logics, I, submitted.
Sakaé Fuchino, On local reflection of the properties of graphs with uncountable characteristics, RIMS Kokyuroku, No.2042, (2017), 34--51.
Sakaé Fuchino, A reflection principle as a reverse-mathematical fixed point over the base theory ZFC, Annals of the Japan Association for the Philosophy of Science, Vol.25, (2017), 67--77.
Sakaé Fuchino, Pre-Hilbert spaces without orthonormal bases, submitted.
Sy Friedman, Sakaé Fuchino and Hiroshi Sakai, On the set-generic multiverse, Sets and Computations, eds.: Sy-David Friedman, Dilip Raghavan and Yue Yang, World Scientific Publishing (Aug., 2017), 25--44.
Sakaé Fuchino, On reflection numbers under large continuum, RIMS Kokyuroku, No.1988, 1--16, (2016).
Sakaé Fuchino and Toshimichi Usuba, A reflection principle formulated in terms of games, RIMS Kokyuroku, No.1895, 37--47 (2014).
Sakaé Fuchino, The set-theoretic multiverse as a mathematical plenitudinous Platonism viewpoint, Annals of the Japan Association for the Philosophy of Science, Vol.20 (2012), 49--54.
Sakaé Fuchino and Hiroshi Sakai, On reflection and non-reflection of countable list-chromatic number of graphs, RIMS Kokyuroku, No.1790, (April 2012), 31--44 (updated on 12.08.05(So10:07(JST))).
Sakaé Fuchino, Remarks on the coloring number of graphs, RIMS Kokyuroku, No.1754, (August 2011), 6--16.
Sakaé Fuchino, Hiroshi Sakai, Lajos Soukup and Toshimichi Usuba, More about the Fodor-type Reflection Principle, preprint.
Sakaé Fuchino and Assaf Rinot, Openly generated Boolean algebras and the Fodor-type Reflection Principle, Fundamenta Mathematicae, 212 (2011), 261-283.
Sakaé Fuchino, Fodor-type Reflection Principle and Balogh's reflection theorems, RIMS Kokyuroku, No.1686 (April 2010), 41--58.
Sakaé Fuchino, Left-separated topological spaces under Fodor-type Reflection Principle, RIMS Kokyuroku, No.1619, (December 2008), 32-42.
Sakaé Fuchino, István Juhász, Lajos Soukup, Zoltán Szentmiklóossy and Toshimichi Usuba, Fodor-type Reflection Principle and reflection of metrizability and meta-Lindelöfness, Topology and its applications, Vol.157, No.8 (2010), 1415-1429.
Jörg Brendle and Sakaé Fuchino, Coloring ordinals by reals, Fundamenta Mathematicae, 196, No.2 (2007), 151-195.
Sakaé Fuchino, Stefan Geschke, Osvaldo Guzman and Lajos Soukup, How to drive our families MAD, to appear.
Sakaé Fuchino, Models of ZFC.
渕野 昌，数学と集合論 --- ゲーデルの加速定理の視点からの 考察 (Mathematics and Set Theory --- seen from the perspective of Gödel's speed-up theorem), 科学基礎論研究，Vol.46, No.1 (2018), 33--47.
渕野 昌， 間違いと真理: 解析学と集合論の場合 ， 数学セミナー2018年9月号寄稿の同名の解説記事の大幅な拡張版，(2018).
Sakaé Fuchino, The trichotomy of the possible size of the continuum under the existence of a Laver-generic large cardinal (May 31, 2019, Nagoya Logic and Set Theory Seminar), handout disributed at the talk.
Sakaé Fuchino, Reflection Principles formulated as Löwenheim-Skolem Theorems for stationary logics and the Continuum Problem, (January 22, 2019 Bristol Logic Seminar, an extended and updated version of Sant Bernat slides).
[Sakaé Fuchino, Reflection principles formulated as Löwenheim-Skolem Theorems, ``Reflections on Set Theoretic Reflection'' (Sant Bernat, Montseny, Catalonia, November 18, 2018).]
Sakaé Fuchino, Set-theoretic reflection of mathematical properties, Plenary talk given at LC2017 (Stockholm, August 18, 2017).