Folina is currently very interested in 19th Century philosophy of mathematics,
including the work of Hamilton, De Morgan, and Bolzano. She continues to be interested
also in 20th Century philosophy of mathematics, including Poincaré and Weyl. She is also
interested in the topic of justification in mathematics quite generally; in particular,
the role of visual evidence and other less "rigorous" forms of justification,
and their relation to mathematical proofs. 

Folina has taught at Macalester since 1989. 

EDUCATION: B.A., Williams College; M. Phil., Ph.D., St. Andrew’s University, Scotland

Journal Articles

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Intuition Between the Analytic-Continental Divide: Hermann Weyl's Philosophy of the Continuum, Philosophia Mathematica (2008)
 

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Ontology, Logic, and Mathematics (critical study of Philosophy of Mathematics Today, edited by M. Schirn), British Journal for the Philosophy of Science (2000)
 

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Pictures, Proofs and Mathematical Practice, British Journal for the Philosophy of Science (1999)
 

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Church’s Thesis: Prelude to a Proof, Philosophia Mathematica, Series 3 (1998)
 

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Proof and Knowledge in Mathematics, Philosophical Quarterly (1996)
 

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Books

Link

Poincare and the Philosophy of Mathematics (1992)
 

Contributions to Books

Link

1790-1870: Some Developments in the Philosophy of Mathematics, The Cambridge History of Nineteenth Century Philosophy (2012)
 

Link

Church’s Thesis and the Variety of Mathematical Justifications, Church’s Thesis After 70 Years (2006)
 

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Poincaré’s Circularity Arguments for Mathematical Intuition, The Kantian Legacy in Nineteenth Century Science (2006)
 

Presentations

Geometry and Algebra in the 19th c: two routes to formalism, History of the Philosophy of Science Meeting (2010)
 

Poincaré's philosophy of mathematics, Center for Philosophy of Science (2009)
 

Other

Link

Poincaré's Philosophy of Mathematics; Internet Encyclopedia of Philosophy (2010)