On the Past and Future of Natural Philosophy

  title={On the Past and Future of Natural Philosophy},
  author={Walter Noll},
  journal={Journal of Elasticity},
  • W. Noll
  • Published 23 June 2006
  • Education
  • Journal of Elasticity
“.... the term 'natural philosophy', which is a rendering of Aristotle’s 'physics', was appropriated in the 17th century to the new natural science of Galileo and Newton... Apparently this usage continued in England when it had become obsolete in other countries. And even now there are survivals of this usage.....and there are professors of 'natural philosophy' who are engaged in nuclear research. ” 
“Reality” and Representation in Mechanics: The Legacy of Walter Noll
The foundations of the mechanics of generalized continua are revisited in the light of the theoretical progress made in the last decades. The paper includes a summary of the scientific activity of W.
A Rudimentary History of Dynamics
This article presents a condensed overview of the development of dynamics from Ancient Greece through to the late 18th century. Its purpose is to bring an often neglected topic to the control
On the Depletion Effect in Colloids: Correlated Brownian Motions
Our object is to formulate and analyze a physically plausible and mathematically sound model to better understand the phenomenon of clumping in colloid dispersions. Our model is stochastic but
Nonlinear Manoeuvring Models for Ships: A Lagrangian Approach
his thesis analyses manoeuvring ships. Good modelling is vital for effective control system design and simulation. Such models are invaluable tools in areas such as training and decision support.
A mechanical model for heat conduction
A theory of heat conduction in rigid heat conductors based entirely on mechanical concepts is proposed and compared with the traditional thermodynamic theories.


Mathematical Structures of Special Relativity
This book is primarily intended to be a textbook for undergraduate students majoring in mathematics or in physics. Most, if not all, of the existing textbooks on Relativity use verbal descriptions
Fit Regions and Functions of Bounded Variation
Ever since one of us (W. N.) began the attempt to analyze some of the basic concepts of continuum physics in terms of precise mathematical structures about thirty years ago (see [N1]), it was clear
The Non-Linear Field Theories Of Mechanics
Matter is commonly found in the form of materials. Analytical mechanics turned its back upon this fact, creating the centrally useful but abstract concepts of the mass point and the rigid body, in
A Frame-Free Formulation of Elasticity
As I pointed out at the end of Sect. 4 in [6] of my booklet Five Contributions to Natural Philosophy, it should be possible to make the principle of material frame-indifference vacuously satisfied by
A New Mathematical Theory of Simple Materials
The original theory of simple materials was formulated by me in 1958 in reference [N2]. I proposed this theory in an attempt to unify and clarify the confusing variety of theories of mechanical
Isocategories and tensor functors
In this paper, I show how the concepts of an isocategory (category all of whose morphisms are isomorphisms) and the corresponding concept of an isofunctor can be used to improve the conceptual
Isocategories and Tensor Functors Available as a PDF file at http
  • Isocategories and Tensor Functors Available as a PDF file at http
  • 1992
Finite-Dimensional Spaces