Sharif Digital Repository

In Naming and Necessity and Identity and Necessity, Kripke convinced many that there are necessary propositions which are knowable only a posteriori. Kripke’s examples of these propositions can be placed into three categories: 1) Some mathematical propositions like Goldbach’s conjecture (the conjecture that every even integer greater than 2 can be expressed as the sum of two primes) 2) Scientific truths like “Water is H2O”, “Gold has the atomic number 79”, etc. 3) Identity statements flanked on both sides with proper names; like “Hesperus is Phosphorus”, “Cicero is Tully” and the like (in the rest of this article, these three categories will be called, respectively, the first, the second and... 

All the main knowledge currents —from the humanities to the experimental sciences— consider themselves explicitly or implicitly indebted to Neo-Kantianism, an approach that, by removing the sensory-material component from the production of reality, prevented the entry of all accidental and unexpected elements into the various fields of human knowledge and gave a not very productive peace to the European world: the peace that came to Europe not only in experimental sciences but also in politics and economy, but it made the existence of Europe weak and sterile. This is the judgment that I have tried to make as far as I can to show what fate the acceptance of Neo-Kantianism brings to man. The... 

Content-Externalism is the view according to which, content of mental states are determined by relation that the person has with his environment and content of mental states does not depend on intrinsic properties of subjects. According to this view, if two persons with exactly same intrinsic properties were in different environments, contents of their mental states would be different. On the other hand, the doctrine of privileged access to mental states asserts that if cognitive faculty is functioning properly, then subject can know the content of his mental states a priori. Many critics of externalism believes that accepting externalism along with privileged access terminate to... 

The meaning and the nature of space and it’s essential properties seems to be one of the oldest problems which has been continuing to occupy human’s mind during centuries. It can be counted as a common ground between philosophy, mathematics, physics and even art. However this thesis concentrates on the philosophical and mathematical attitudes, neglecting the other aspects of the issue. Prima facie, it appears that the concept of space is essentially mingled with geometry, the science which seems to investigate the essentials of space. Taking it for granted, Kant regarded space, and so Euclidean geometry which dominates it, as an indispensible and necessary structure of the human’s mind.... 

Primal discontinuous Galerkin (DG) methods are formulated to solve the transport equations for modeling migration and survival of viruses with kinetic and equilibrium adsorption in porous media. An entropy analysis is conducted to show that DG schemes are numerically stable and that the free energy of a DG approximation decreases with time in a manner similar to the exact solution. Combining results for free and attached virus concentrations, we establish optimal a priori error estimates for the coupled partial and ordinary differential equations of virus transport