Darwin's greatest contribution to science is that he completed the Copernican Revolution by drawing out for biology the notion of nature as a system of matter in motion governed by natural laws. With Darwin's discovery of natural selection, the origin and adaptations of organisms were brought into the realm of science. The adaptive features of organisms could now be explained, like the phenomen...

realm of mathematics should at all be apt to describe the concrete physical world. Here, Dorato reintroduces his software metaphor, makes it more precise, and (first) aims, with the help of it, to answer the above questions. As far as I understand Dorato, the idea is this: a law, i.e. an equation, permits us to calculate from the initial input data the prediction output in a finite number of st...

An analogy between the fractal nature of networks of arteries and that of systems of rivers has been drawn in the previous works. However, the deep structure of the hierarchy of blood vessels has not yet been revealed. This paper is devoted to researching the fractals, allometric scaling, and hierarchy of blood vessels. By analogy with Horton-Strahler’s laws of river composition, three exponent...

We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.

We have defended in [2, 3] the idea that the physical Church thesis, if it holds, explains the efficiency of mathematics to describe the laws of nature. And also that it suggests that the laws of nature can be expressed, not only in a language of propositions, but also in a language of algorithms. The arguments of Gandy [4], that support the physical Church thesis, even suggest that these algor...

This study introduces the free vibration analysis of multilayered symmetric sandwich Timoshenko beams, made of functionally graded materials with two edge cracked, using the finite element method and linear elastic fracture mechanic theory. The FG beam consists of 50 layers, located symmetrically to the neutral plane, whose material properties distribution change along the beam thickness, accor...

Why (according to classical physics) do forces compose according to the parallelogram of forces? This question has been controversial; it is one episode in a longstanding, fundamental dispute regarding which facts are not to be explained dynamically. If the parallelogram law is explained statically, then the laws of statics are separate from and (in an important sense) “transcend” the laws of d...

In the food industry, regulations support companies to specify what needs to be done to minimize the risks of processing, trade and consumption of inferior food products. Complying with regulations protects companies from expensive and negative perceived product recalls, sanctions and financial penalties. A compliant manufacturing process requires a process design that conforms to legal require...