Email Gateway (Aug 18 2022 at 14:55): Email Gateway (Aug 18 2022 at 14:55):From: Jeremy Avigad <avigad@cmu.edu>
Dear Isabelle users,
Harvey Friedman asked me to post the announcement below.
Jeremy
Subject: Grant Opportunity: Foundational Questions in the Mathematical
Sciences
There is a grant opportunity in (A) foundations of: mathematics,
mathematical sciences, computer science; (B) artificial intelligence;
(C) and related fields. The John Templeton Foundation accepts research
proposals that directly or indirectly address the following questions:
(1) What are the limits of mathematics in advancing human knowledge?
(2) What have the difficulties of AI taught us about the nature of
mind and intelligence?
Deadline for the initial inquiry is April 15, 2010. Please feel free
to pass the information on to others who might be interested in the
grant opportunity.
or visit the website at
http://www.templeton.org/what_we_fund/2010_funding_priorities/foundational_questions_in_the_mathematical_sciences/index.html
ADDITIONAL INFORMATION
The Grant Program is co-chaired by Barry Cooper and myself, with Barry
focused on the AI component, and myself focused on the LIMITS OF
MATHEMATICS component.
I have chosen to add some additional information that may be of some
use in your decision to make an initial inquiry by April 15, 2010.
With regard to question (1): we are interested in funding selected
research projects that address (1) directly or indirectly. Here is a
sample of some research thrusts that are of interest. But feel free to
propose your own ideas that genuinely address (1) directly or
indirectly, in ways not included in A-E below. Proposals will be
judged according to their relevance to (1), their conceptual and
technical soundness, and their feasibility.
A. Limits of mathematics within mathematics. This includes exploring
the boundary of algorithmic decidability/undecidability of basic
mathematical problems. This also includes explorations into the
boundary of provability and unprovability of basic mathematical
problems within fundamental formal systems. These are well explored
areas, so we will emphasis the development of novel ideas.
B. Limits of mathematics within biology and physics. This includes
investigations as in A above, but related to the behavior of idealized
biological and physical systems. The level of biological and physical
realism is of particular interest.
C. Limits of mathematics within probability and statistics. This
includes investigations into the logical foundations of probability
and statistics of the kind that can be used to address limits of
mathematics.
D. Limits of computation in mathematical modeling. This includes
investigations into the limits of computational methods in
approximating physical reality due to round off, instability, and so
forth.
E. Limits of mathematics within mathematical economics. This includes
investigations into limits of computational methods and decidability/
provability in the realm of game theory and models of economic behavior.
F. Limits of certainty in mathematics. This includes practical and
theoretical investigations into just how certain we are or can be
about mathematical assertions.
G. Limits of certainty in software. This includes practical and
theoretical investigations into how certain we are or can be that
software meets mathematical requirements.
Sincerely Yours,
Harvey M. Friedman
Distinguished University Professor of Mathematics, Philosophy, and
Computer Science
The Ohio State University
Columbus, Ohio
Last updated: Nov 21 2024 at 12:39 UTC