(scroll down for more information)
Miejsce: room no. 4 in the Institute of Philosophy UW (ground floor, Krakowskie Przedmieście 3 St. -> MAP)
Czas: 21st March 2015, from 10:00 to 15:30
- 10:00 Ethics in the Contemporary World, dr J. Różyńska
- 11:00 Break
- 11:05 Even a Nation of Devils Needs the State. What is Political Justice and How to Justify it? dr R. Wonicki
- 12:05 Break
- 12:10 Are We Responsible for What We Could Not Have Done? dr A. Kuźniar
- 13:10 “Long” break
- 13:30 The Art of Argumentation, dr K. Kuś
- 14:30 Break
- 14:35 Am I Body or Do I Have a Body? A Short Story of an Old Problem, dr M. Bieniak-Nowak
- 15:30 The End
* warsztaty są kierowane dla licealistów, ale jeśli jesteś już studentem, to jesteś równie mile widziany, jak licealiści!
** każdy z warsztatów jest niezależny od pozostałych, co oznacza, że nie ma obowiązku uczestnictwa we wszystkich spotkaniach – możesz przyjść na wybrane przez siebie.
Visit our Academic Staff & Alumni site to find information about the speakers.
We would like to invite you to the lecture entitled
In Good Company? On Hume’s Principle and Assignment of Number to Infinite Concepts
that will be given on
Tuesday, 24th March, at 18:30 in the room 209
by prof. Paolo Mancosu
(University of California Berkeley)
In a recent article (Review of Symbolic Logic 2009), I have explored the historical, mathematical, and philosophical issues related to the new theory of numerosities. The theory of numerosities provides a context in which to assign numerosities to infinite sets of natural numbers in such a way as to preserve the part-whole principle, namely if a set A is properly included in B then the numerosity of A is strictly less than the numerosity of B. Numerosities assignments differ from the standard assignment of size provided by Cantor’s cardinality assignments.
In this talk, I generalize some specific worries emerging from the theory of numerosities to a line of thought resulting in what I call a ‘good company’ objection to Hume’s Principle (HP). The talk has four main parts. The first takes a historical look at nineteenth-century attributions of equality of numbers in terms of one-one correlations and argues that there was no agreement as to how to extend such determinations to infinite sets of objects. This leads to the second part where I show that there are countably infinite many abstraction principles that are ‘good’, in the sense that they share the same virtues of HP and from which we can derive the axioms of second order arithmetic. The third part connects this material to a debate on Finite Hume Principle between Heck and MacBride and states the ‘good company’ objection. Finally, the last part gives a tentative taxonomy of possible neo-logicist responses to the ‘good company’ objection and makes a foray into the relevance of this material for the issue of cross-sortal identifications for abstractions.
prof. Mancosu’s website: http://philosophy.berkeley.edu/mancosu/