"Basic hypergeometric orthogonal polynomials"
4:00 pm, Tue, 16th Feb 2016
V205, Mathematics Building
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AustMS Lift Off
CARMA PhD student Matthew Tam has been awarded an Australian Mathematical Society Lift-off Fellowship. Tam will use the fellowship to visit Dr Francisco Aragón Artacho at the Universit... [READ MORE]
In Memoriam: Mirka Miller
Dear Colleagues: I am sorry to have to tell you that our friend and colleague Mirka Miller passed away at 10am on Saturday 02/01/2016 after a short illness. The funeral service is o... [READ MORE]
CARMA PRC renewed
CARMA has been renewed as a University of Newcastle Priority Research Centre through 2020. Read our presentation here.
Well done by all of you.
"These aspects of exploratory experimentation and wide instrumentation originate from the philosophy of (natural) science and have not been much developed in the context of experimental mathematics. However, I claim that e.g. the importance of wide instrumentation for an exploratory approach to experiments that includes concept formation also pertain to mathematics."
From his 2008 preprint "How Experimental is Experimental Mathematics?" discussing Franklin's argument that Steinle's notion of "exploratory experimentation" facilitated by "widening technology" (as in pharmacology, astrophysics, medicine, and biotechnology) is leading to a reassessment of what legitimates experiment; in that even a "local model"is not now prerequisite.
Relatedly, as Dave Bailey and I wrote recently
In a provocative 2008 article entitled "The End of Theory:" The Data Deluge Makes the Scientific Method Obsolete" Chris Anderson, the Editor-in-Chief of Wired, heralds a new mode of scientific inquiry where exploding repositories of data, analyzed using advanced mathematical and statistical techniques in the same manner as Google has analyzed the Internet, are sufficient to render the traditional scientific method (hypothesize, model, test) obsolete:And it may not be there in some circumstances; both in mathematics and in what we properly call reality."The new availability of huge amounts of data, along with the statistical tools to crunch these numbers, offers a whole new way of understanding the world. Correlation supersedes causation, and science can advance even without coherent models, unified theories, or really any mechanistic explanation at all. There's no reason to cling to our old ways. It's time to ask: What can science learn from Google?"
Kevin Kelly, in a response to Anderson's article, makes a more modest statement:"My guess is that this emerging method will be one additional tool in the evolution of the scientific method. It will not replace any current methods (sorry, no end of science!) but will complement established theory-driven science. ... The model may be beyond the perception and understanding of the creators of the system, and since it works it is not worth trying to uncover it. But it may still be there. It just operates at a level we don't have access to."
Membership to CARMA offers many benefits and is available by invitation to all University of Newcastle academic staff. Associate membership, also by invitation, is available to external researchers and practitioners for three-year renewable terms. Associate members are expected to visit CARMA with some frequency, typically for a total of three to four weeks in a year, and to be involved in one or more ongoing research projects with CARMA members. CARMA is able to assist with the travel and living costs of such visits.