For more information about this meeting, contact Stephen Simpson.
|Title:||The strength of extensionality|
|Speaker:||Kentaro Sato, Kobe University, Japan|
|The proof-theoretic strength of the axiom of extensionality,
as well as those of other set-theoretic axioms (e.g., the axiom
of regularity, foundation axioms, the axiom of choice, separation
axioms), will be investigated, on quite weak settings with and
without the axiom of infinity. The tool is mutual interpretability
with subsystems of second order arithmetic (in the infinite case)
or with two-sorted bounded arithmetic (in the non-infinite case).
As a result, it will turn out that the axiom of extensionality is
relatively stronger than other (weak) axioms and than previously
Room Reservation Information
|Date:||11 / 11 / 2008|
|Time:||02:30pm - 03:45pm|