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Many discussions of emergence focus on the putatively irreducible causal powers of emergents. I argue that the question of whether emergents are irreducible causes should be postponed in favor of the ...
On the role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations:the case of the structure of a differentiable manifold,1
differentiable manifold implicit function immersion theorems
2016/5/30
In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold...
The Forgotten Tradition.How the Logical Empiricists missed the Philosophical Significance of the work of Riemann,Christoffel and Ricci
Logical Empiricism Absolute Differential Calculus General Relativity Hans Reichenbach
2016/5/30
The paper attempts to show how the Logical Empiricists’ interpretation of the relation between geometry and reality emerges from a “collision” of mathematical traditions. Considering Riemann’s work as...
A Field Guide to Recent Work on the Foundations of Statistical Mechanics.
Statistical mechanics Boltzmann Gibbs probability
2008/4/9
This is an extensive review of recent work on the foundations of statistical mechanics.
A Critical Review of Wigner's Work on the Conceptual Foundations of Quantum Theory
Wigner Quantum theory Realism Measurement problem
2008/4/9
Excerpt from the Conclusions:
Many of Wigner’s papers on mathematical physics are great classics. Most famous is his work on group representations which is of lasting value for a proper mathematical...
“Time Travel” in Godel Spacetime: Why It Doesn’t Pay to Work Out All the Kinks
Time Travel Godel Spacetime
2008/4/9
Here we provide a proof that there exist closed timelike curves in Gödel spacetime with total acceleration less than 2π(9 + 6√3)^1/2. This answers a question posed by David Malament.
"The How Mathematicians Work project has been started by a group of individuals who wish to work together to research such problems as how mathematicians communicate and collaborate; how mathematician...
The How Mathematicians Work group, of which I am a member, has been concerned for some time that exploration of the nature of mathematics, whether as philosophical enquiry or for educational objective...
FINDERS KEEPERS - SOME NOTES FROM WORK IN PROGRESS ON MATHEMATICAL OBJECTS
FINDERS KEEPERS MATHEMATICAL OBJECTS
2008/4/8
FINDERS KEEPERS - SOME NOTES FROM WORK IN PROGRESS ON MATHEMATICAL OBJECTS.
The Drexler-Smalley Debate on Nanotechnology: Incommensurability at Work?
nanotechnology Drexler-Smalley debate molecular assemblers
2008/4/3
In a recent debate, Eric Drexler and Richard Smalley have discussed the chemical and physical possibility of constructing molecular assemblers – devices that guide chemical reactions by placing, with ...