Conference Theme
Abstractionism/Neo-Fregeanism in the philosophy of mathematics is the thesis that Fregean abstraction principles, such as Hume’s Principle, play an essential role in our knowledge of mathematical truths, the existence of mathematical objects, and our capacity to effect singular reference to these objects. The workshop will explore the logico-mathematical aspects of neo-Fregeanism, such as Frege’s Theorem and the Bad Company Objection, as well as its philosophical aspects including Frege’s Caesar Problem, the possibility of mathematical singular thought and/or reference, and the epistemology of abstraction principles. The workshop occasions the imminent publication of the second edition of Crispin Wright’s Frege’s Conception of Numbers as Objects. We will explore variations on themes from Wright.
Thursday, Nov 7
Location: Botany House 1.03
13-15 Beech Grove Terrace, Woodhouse, LS2 9JS
09:00–9:15 Welcome
9:15–10:45 Eileen Nutting (Kansas)
The ontology of abstraction operations
10:45–11:15 Coffee break
11:15–12:45 Francesca Boccuni (Vita-Salute San Raffaele) & Andrea Sereni (IUSS Pavia)
The conqueror’s arrogance: neo-logicism, the Caesar Problem and Frege’s Constraint
12:45–14:00 Lunch
14:00–15:30 Luca Zanetti (IUSS Pavia)
Abstraction without exceptions
15:30–16:00 Coffee break
16:00–17:30 Crispin Wright (Stirling)
HP as encoding Introduction and Elimination rules for the cardinality operator
19:30 Conference dinner
Friday, Nov 8
Location: Botany House 1.03
9:30–11:00 Robert May (UC Davis)
Value-ranges
11:00–11:15 Break
11:15–12:45 Walter Pedriali (St Andrews)
Logicism, singular thought, and states of affairs
12:45–14:00 Lunch
14:00 –15:30 Ian Rumfitt (Oxford)
Frege’s Grundlagen, and the Neo-Logicist Programme, in the age of plural logic
15:30–16:00 Coffee break
16:00–17:30 Øystein Linnebo (Oslo)
Grounded abstraction and Frege’s theorem
Informal dinner
Organizer
Bahram Assadian
University of Leeds, School of Philosophy, Religion and History of Science
Funding
This project has received funding from the UK Research and Innovation(UKRI) under the UK government’s Horizon Europe funding guarantee – grant agreement No EP/X026949/1.
Bahram Assadian 