Skip to main content

prova prova

Immagine
E-Math Project
IUSS Philosophy Seminars - L&PIC - eMath Project
Esposizione data
28/09/2022
Sede evento
IUSS, Sala Del Camino, Palazzo Broletto
Ora evento
Alle ore 11.00
Paragrafo
Testo

Linguistics & Philosophy IUSS Center
IUSS Philosophy Seminars
eMath Project

 
“THE MATH TEA ARGUMENT.. MUST THERE BE NUMBERS WE CANNOT DESCRIBE OR DEFINE?”

September 28th 2022, 11.00 – 13.00 CEST
IUSS, Sala del Camino
Palazzo Broletto, Piazza della Vittoria n. 15 - Pavia
 
 
SpeakerJoel David Hamkins - University of Notre Dame 
IUSS visiting scholar
 
 
Abstract: 
According to the math tea argument, perhaps heard at a good afternoon tea, there must be some real numbers that we can neither describe nor define, since there are uncountably many real numbers, but only countably many definitions. Is it correct? In this talk, I shall discuss the phenomenon of pointwise definable structures in mathematics, structures in which every object has a property that only it exhibits. A mathematical structure is Leibnizian, in contrast, if any pair of distinct objects in it exhibit different properties. Is there a Leibnizian structure with no definable elements? We shall discuss many interesting elementary examples, eventually working up to the proof that every countable model of set theory has a pointwise definable extension, in which every mathematical object is definable.
 
The seminar will be also available via Zoom at: https://iusspavia.zoom.us/j/99529506550

Info: andrea.sereni@iusspavia.it 

Program