Arctic Set Theory Workshop | Simplicity, Ideals of Practice in Mathematics and the Arts | |

- Set Theory and Set-Theoretic Model Theory.
- Foundations and Philosophy of Mathematics.
- History of Logic.
- Aesthetics and Art History.

- Teaches Advanced topics in set theory, Mathematical Logic, Model Theory, Elements of Set Theory, Linear algebra I, Topology II, Reading Seminar: "Phenomenology and Mathematics". We will begin by discussing Husserl's "The Origin of Geometry." Topology I, Axiomatic set theory, Axiomatic set theory II.
- Arithmetic: Lecture notes.
- Topology I (Spring 2010), Set Theory Seminar (Spring 2010).
- Axiomatic Set Theory (Spring 2011),

- "On formalism freeness". Plenary talk,
*INFTY Final Conference in Set Theory*, Bonn, March 5, 2014. - "On formalism freeness". Seminar talk, University of Stockhomm, March 7, 2014.
- "Aesthetics and the dream of objectivity: Notes from set theory".
*Workshop on Beauty and Explanation in Mathematics*, Umeå, March 10, 2014. - "The drawing is a set of thought: On reading mathematical constructions as works of art". Bildmuseet, Umeå, March 11, 2014.
- "Logical pluralism and meaning variance in the set-theoretic context". Seminar talk, Cambridge University, January 19, 2012.
- "Change the Logic, Change the Meaning? Quine's Dictum and the Case of Set Theory". Seminar talk, Oxford University, January 24, 2012, abstract.
- "Geometry and Paradoxes of Place: Reflections on the Art of Gabriel Orozco". Helsinki Art Aademy (Kuvataideakatemia), February 11, 2012.
- "The Grundlagenstreit of the 1920s: What was (and is) the controversy?" History seminar, Institute for Advanced Study, March 5, 2012.
- "Inner models and extended logics". MAMLS logic workshop, CUNY, March 9, 2012.
- "Inner models and extended logics". School of Mathematics, Institute for Advanced Study, April 4, 2012.
- "On some new inner models for set theory" University of Chicago, April 24, 2012.

**On regular reduced products**, with Saharon Shelah,*Journal of Symbolic Logic*, Volume 67, Number 3, Sept. 2002. (dvi, ps, pdf).-
**On embedding models of arithmetic into reduced powers**,*8th Workshop on Logic, Language, Informations and Computation---WoLLIC'2001 (Brasília). Mat. Contemp.*24 (2003), 91--115. **On embedding models of arithmetic of cardinality aleph_1 into reduced powers**, with Saharon Shelah,*Fundamenta Mathematicae,*Volume 176, Issue 1, 2003. (dvi, ps, pdf).**On the Philosophical Development of Kurt Gödel**, with Mark van Atten,*Bulletin of Symbolic Logic,*Volume 9, Issue 4, December 2003. pages 425-476. (pdf)**More on regular reduced products,**with Saharon Shelah,*Journal of Symbolic Logic,*Volume 69, Issue 4, December 2004. (dvi, ps, pdf).**Gödel's Modernism: On Set-Theoretic Incompleteness,**with Mark van Atten,*Graduate Faculty Philosophy Journal,*volume 25, number 2, 289--349, 2004 (pdf).**Incompleteness - A Book Review**,*Notices of the American Mathematical Society*April 2006, (pdf).**On Applications of Transfer Principles in Model Theory,**with Jouko Väänänen, in*Set Theory: Recent Trends and Applications*(A. Andretta ed.),*Quaderni di Matematica*, vol 17, 2007, 111-136.**Kurt Gödel**, An entry in the Stanford Encyclopedia of Philosophy, 2007.**Review of “Kurt Gödel: Das Album”, by Sigmund, Dawson and Mühlberger,***The Mathematical Intelligencer*vol. 29, issue 3, pp. 73-75, 2007.**Regular Ultrafilters and Finite Square Principles,**with Saharon Shelah, and Jouko Väänänen, (pdf),*Journal of Symbolic Logic*73(2), 2008, 817-823.**On Gödel's Logic,**with Mark van Atten,*The Handbook of the History of Logic*, volume 5, Elsevier, 2009, 449-509.**Gödel's Modernism: On Set Theoretic Incompleteness, Revisited,**with Mark van Atten, in*Logicism, Intuitionism and Formalism: What has become of them?*, edited by Sten Lindström, E. Palmgren, K. Segerberg, and V. Stoltenberg-Hansen, Springer, 2009, 303-356.**Review of the***Princeton Companion to Mathematics,**T. Gowers, ed.*,*Bulletin of Symbolic Logic*, vol 15(4), December 2009, 431-436.**Review of**by Curtis Franks, Bulletin of Symbolic Logic, vol. 17(1), 119-122, March, 2011.*The Autonomy of Mathematical Knowledge***Set Theory, Arithmetic, and Foundations of Mathematics**Edited by: Juliette Kennedy, University of Helsinki, and Roman Kossak, City University of New York, Cambridge University Press, Lecture Notes in Logic 36, 2011.**Can the Continuum Hypothesis be Solved?**,*The Institute Letter*, Institute for Advanced Study, Fall 2011.**Gödel's Thesis: An Appreciation,**in*Horizons of Truth*, Proceedings of the Gödel Centenary, Cambridge University Press, 2011.**Hilbert's Twenty-fourth Problem: On the Aesthetic of Simplicity in Mathematics.***Arkadia Gazette*, Helsinki, January 2012.**Set Theory, Classical and Constructive,***Annals of Pure and Applied Logic*, volume 163, issue 10, pages 1359-1446 (October 2012). Guest editor with Jaap van Oosten. Invited papers from the meeting of the same name in Amsterdam, May 6-7, 2010.**On Formalism Freeness: Implementing Gödel's 1946 Princeton Bicentennial Lecture**,*Bulletin of Symbolic Logic*, volume 19, issue 3, September 2013, 351-393.**Review of***After Gödel**Notre Dame Philosophical Reviews*, Oct 2013.-
**Regular Ultraproducts at Regular Cardinals**, with S. Shelah, and J. Väänänen,*Notre Dame Journal of Formal Logic*, to appear. -
Review of
*Defending the Axioms: On the Philosophical Foundations of Set Theory*by Penelope Maddy,*Bulletin of Symbolic Logic*, to appear. **Interpreting Gödel**, edited volume, Cambridge University Press, to appear.**Gödel's 1946 Princeton Bicentennial Lecture: An Appreciation**, to appear.**On the "Logic without Borders" Point of View**, for the proceedings volume*Logic without Borders*, to appear.**Aesthetics and the Dream of Objectivity: Notes from Set Theory**, with J. Väänänen, for the proceedings of the 2011 conference*Mathematical Evidence*, University of Oslo.*Inquiry*, to appear.**Grounding effectivity**, proceedings of the conference*Turing 100*at Boston University, November 2012, in preparation.

**Logic Unfettered: European and American Abstraction Now,**Museumbrief, Mondrian House Publications, 2007.**Book Review:***Matti Kujasalo*, Galerie Anhava Publications, 2010. Taide & Design, 10 (2010) 212--213.**Fred Sandback**,*Taide & Design*, 11 (February 2011), 40-47.**Interview with Andy Goldsworthy**,*Taide & Design*, 13 (July 2011), 47-53.**Andy Goldsworthy,**Pori Art Museum Publications, July 2011, pp. 18-72.

- Exhibition:
*Logic Unfettered: European and American Abstraction Now.*Mondriaan Huis, Amersfoort, Netherlands, November 2, 2007 to April 12, 2008. Review in NY Arts/Art Fairs International, September 2008, vol.13, #7/8, pp. 22-23:*Notes on "Logic Unleashed - European and American Abstraction Now" at Mondrian House*by Marek Bartelik. Poster,*Aesthetics and Mathematics*. - Exhibition:
*Fred Sandback at Pori.*Pori Art Museum, Pori, Finland. February 4 - May 29, 2011. Review in Helsingin Sanomat 24.2.2011 Section C3, and in ARTFORUM - Exhibition:
*Andy Goldsworthy.*Pori Art Museum, Pori, Finland. June 10 - September 4, 2011. Review in Helsingin Sanomat 11.6.2011 - Exhibition:
*Silent Watch: Contemporary Prints from Finland. IPCNY, New York, September 15 - October 27, 2011. Toured to Elaine L. Jacob Gallery at Wayne State University.*

P.O. Box 68 (Gustaf Hällströmin katu 2b)

FI-00014 University of Helsinki, Finland

tel. (+358-9)-191-51446, fax (+358-9)-191-51400

http://www.helsinki.fi/science/logic

e-mail: juliette.kennedy@helsinki.fi