Yermakova, Anya (Author)
Galison, Peter Louis (Advisor)
This dissertation is about logical pluralism, addressed through challenges to logical binarism (true/false), as well as to the binarism that logic itself holds in relation to embodied ways of knowing. The research is grounded in thought experiments in logic by logicians, scientists, artists, and other logically-curious intellectuals in Russian-speaking Eurasia at the turn of the twentieth century, which have seldom been jointly investigated. Together, these historic actors are shown to represent a loose “invisible college” of people united in exploring a more capacious conception of logic, with profound links to questions of performativity, non- discursive ways of knowing, and potential for radical experimentalism. Many of their logical experiments are seeing historiographic light for the first time; some have been deemed “non- classical” by modern Western logic. This dissertation resists the historiographic convention to interpret these late-imperial texts along ontological binary divides between objectivity and subjectivity, psychologism and anti-psychologism, logical and extra-logical information. Instead, the actors are situated among dialogues about the future of the Russian Empire, and their logic-based objections to the general category of binarism are argued here to have been reflective of a tacit, shared understanding of logicality as a facilitator of a quieter revolution of methodological experimentalism. In a mimetic move, to both echo the historical actors’ undertakings and to bring them into relevance today, the later part of this dissertation takes on the challenge of enacting these logical possible worlds via embodied research in music and dance improvisation and composition by the author. Continuing history of science with sonic and movement-based methods furthers the epistemic ambition evident in the archival materials—to explore logicality with dynamic, process-based atomic units of meaning. Additionally, expanding the historiographic toolkit to include embodied methods offers ways for studying gaps in the archive resulting from the events of the Soviet Revolution. Artistic research focused on the body as the original site of contradictions is thus shown to be a powerful tool both for challenging normative assumptions of binarism, as well as for studying unfamous scientists and artists whose united explorations pushed the boundaries of knowledge and creativity.
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Thesis
Matthew H. Vollgraff;
(2019)
The Science of Expression: Ausdruckskunde and Bodily Knowledge in German Modernist Culture
(/isis/citation/CBB832353783/)
Book
Andrei Pop;
(2019)
A Forest of Symbols: Art, Science, and Truth in the Long Nineteenth Century
(/isis/citation/CBB367730685/)
Article
Xing, Ying-rui;
(2011)
Husserl's Early Philosophy of Arithmetic
(/isis/citation/CBB001250699/)
Article
Campos, Daniel G.;
(2007)
Peirce on the Role of Poietic Creation in Mathematical Reasoning
(/isis/citation/CBB001023426/)
Article
Luciano, Erika;
(2006)
At the Origins of Functional Analysis: G. Peano and M. Gramegna on Ordinary Differential Equations
(/isis/citation/CBB000770911/)
Article
Dea, Shannon;
(2006)
“Merely a veil over the living thought”: Mathematics and Logic in Peirce's Forgotten Spinoza Review
(/isis/citation/CBB001023424/)
Book
Künne, Wolfgang;
(2010)
Die Philosophische Logik Gottlob Freges: ein Kommentar; mit den Texten des Vorworts zu Grundgesetze der Arithmetik und der Logischen Untersuchungen I--IV
(/isis/citation/CBB001210615/)
Article
Despeaux, Sloan Evans;
(2014)
Questions/ réponses dans les périodiques britanniques des XVIIIe et XIXe siècles: un genre éditorial à la croisée de deux pratiques mathématiques
(/isis/citation/CBB001451430/)
Article
Márcia R. Cerioli;
Hugo Nobrega;
Guilherme Silveira;
Petrucio Viana;
(2022)
On the (In)Dependence of the Peano Axioms for Natural Numbers
(/isis/citation/CBB173126247/)
Thesis
David E. Dunning;
(2020)
Writing the Rules of Reason: Notations in Mathematical Logic, 1847–1937
(/isis/citation/CBB517005733/)
Book
Grattan-Guinness, I.;
(2000)
The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel
(/isis/citation/CBB000111675/)
Book
Ricketts, Tom;
Potter, Michael D.;
(2010)
The Cambridge Companion to Frege
(/isis/citation/CBB001211647/)
Article
Schlimm, Dirk;
(2011)
On the Creative Role of Axiomatics. The Discovery of Lattices by Schröder, Dedekind, Birkhoff, and Others
(/isis/citation/CBB001211472/)
Article
David E. Dunning;
(2021)
The Logician in the Archive: John Venn’s Diagrams and Victorian Historical Thinking
(/isis/citation/CBB413337671/)
Book
Grattan-Guiness, I.;
(2000)
Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor Through Russell to Gödel
(/isis/citation/CBB000102346/)
Book
Jan Von Plato;
(2017)
The Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age
(/isis/citation/CBB573478690/)
Book
Turner, Henry S.;
(2006)
The English Renaissance Stage: Geometry, Poetics, and the Practical Spatial Arts 1580--1630
(/isis/citation/CBB000640791/)
Article
Pesic, Peter;
(2013)
Helmholtz, Riemann, and the Sirens: Sound, Color, and the “Problem of Space”
(/isis/citation/CBB001320409/)
Book
Elena Anne Corie Marchisotto;
Francisco Rodriguez-Consuegra;
James T. Smith;
(2021)
The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
(/isis/citation/CBB763111584/)
Article
Luciano, Erika;
(2018)
I contributi di Giovanni Vacca alla storia della logica matematica fra erudizione e critica storiografica
(/isis/citation/CBB973030261/)
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