Sydney Centre for the Foundations of Science Events for March 2014

* Wednesday 5 March, 3.30-5.30, Muniment Room, Philosophy Seminar, Katherine 
Dunlop (Univ Texas, SCFS visitor): 'Kant on "Transcendental" and Ordinary 
Logic'.
The Critique of Pure Reason is structured as an (eighteenth-century) treatise 
on logic.  In particular, the Categories are identified through their supposed 
correspondence with logically basic forms of judgment.  But while Kant claims 
logic abstracts from thought's content, i.e. its relation to an object, his own 
theory of cognition-which he designates "transcendental logic"-is supposed to 
concern "pure thinking of objects".  To solve the puzzle of how Kant can regard 
his theory as a logic, I argue that the content thematized in transcendental 
logic is already presupposed in ordinary logic.  Like many other 
eighteenth-century thinkers, Kant conceives logic as rules for the use of 
mental faculties, and on his view the proper use of our understanding is to 
relate to objects (through intuition). On this interpretation, Kant's view is 
undeniably psychologistic.  As such it faces the classic objection that it 
wrongly narrows logic's scope, to things we can think about.  In particular, on 
this interpretation logic is inapplicable to things in themselves.  I argue 
that this consequence should be accepted: logical knowledge, as Kant conceives 
it, exceeds what we can claim about things in themselves.
__________________________________________

* Monday 10 March, 4.00-6.0 Science Meeting Room (450): HPS seminar, Katherine 
Dunlop (Univ Texas, SCFS visitor): 'Arithmetic and Geometry in Poincaré's 
Science and Hypothesis'
It is usually supposed that Poincaré's Science and Hypothesis contains a 
unified view of mathematics and physical science.  But its defense of a role 
for intuition in arithmetic does not fit well with the conventionalism Poincaré 
advocates elsewhere in the book.  After bringing out the conflict, I argue that 
the most usual way of resolving it does not succeed.  That is to suppose the 
sciences are arranged in a hierarchy such that arithmetic is presupposed by 
geometry, which is presupposed by mechanics, etc.  On the usual reading, 
Poincaré takes arithmetic to depend on an a priori intuition which underlies 
the notion of natural number (and with it the principle of mathematical 
induction), and is thereby seen to underlie all science.  In contrast, I 
maintain that Poincaré conceives mathematical reasoning as a general type, of 
which the justification of arithmetical notions is just one instance, distinct 
from its application to geometry.  The sense in which intuition is foundational 
for all science is that it helps us to decide on conventions, by showing them 
to be appropriate in light of our experience. So Poincaré's account of 
arithmetic has a place in his overall view of science, just a different place 
than is usually supposed.
__________________________________________

* Wednesday 19 March 1.00-2.30 Muniment Room: Stefan Hartmann (Univ Munich): 
'The No Alternatives Argument'.
Scientific theories are hard to find, and once scientists have found a theory 
H, they often believe that there are not many distinct alternatives to H. But 
is this belief justified? What should scientists believe about the number of 
alternatives to H, and how should they change these beliefs in the light of new 
evidence? These are some of the questions that we will address in this paper. 
We also ask under which conditions failure to find an alternative to H confirms 
the theory in question. This kind of reasoning (which we call the No 
Alternatives Argument) is frequently used in science and therefore deserves a 
careful philosophical analysis.
________________________________________

* Thursday 20 March 9.15-5.00 SOPHI Common Room, Level 8, Main Quad
Workship: 'Methodology and Mathematics from Newton to Euler': Participants: 
Peter Anstey, Katherine Dunlop, Stephen Gaukroger, Kristen Walsh
*     9.15 Katherine Dunlop (Texas): 'Christian Wolff on Newtonianism and Exact 
Science'
*     11.00 Peter Anstey (Sydney): 'From scientific syllogisms to mathematical 
certainty'
*     12.30 Lunch
*     2.00 Kirsten Walsh (Otago): 'Newton's method'
*     3.30 Stephen Gaukroger (Sydney):  'D'Alembert, Euler and mid-18th century 
rational mechanics: what mechanics does not tell us about the world'

Details on SCFS website
Space is limited. To register contact Professor Peter Anstey 
([email protected]<mailto:[email protected]>) by 18 March.
__________________________________________

* Thursday 20 March (from 6.00PM)- Sat 22 March: 'Evolutionary Thinking: 7th 
Munich-Sydney-Tilburg Philosophy of Science Conference' (Mark Colyvan/Paul 
Griffiths)
Details on SCFS website


Sara Langston
Sydney Centre for the Foundations of Science
Rm N293
Quadrangle A14
e: [email protected]<mailto:[email protected]>
w:: sydney.edu.au/foundations_of_science
University of Sydney   NSW 2006


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