The aim of this paper is an analysis of Karl Marx’s account of social criticism. The paper opens with a distinction between two models of social criticism, Platonic and Socratic, present in the contemporary political philosophy. The main argument is that despite the contradictory character of the two models of criticism, they are both present in Marx’s account of criticism. Through the concept ...

Ultra-low-cost single-chip inertial measurement units (IMUs) combined into IMU arrays are opening up new possibilities for inertial sensing. However, to make these systems practical for researchers, a simple calibration procedure that aligns the sensitivity axes of the sensors in the array is needed. In this letter, we suggest a novel mechanical-rotation-rig-free calibration procedure based on ...

This paper presents a method for determining all of the co-prime right angle triangles in the Euclidean field by looking at the intersection of the Pythagorean and Platonic right angle triangles and the corresponding lattice that this produces. The co-prime properties of each lattice point representing a unique right angle triangle are then considered. This paper proposes a conjunction between ...

The Möbius-Kantor map {4 + 4, 3} [CMo, §8.8, 8.9] is a regular orientable map of type {8, 3} and genus 2. It is a 2-sheeted covering of the cube {4, 3}, branched over the centers of its six faces, each of which lifts to an octagonal face. Its (orientation-preserving) automorphism group is isomorphic to GL2(3), a double covering of the automorphism group PGL2(3) ∼= S4 of the cube. The aim of thi...

We carry out the harmonic analysis on four Platonic spherical three-manifolds with different topologies. Starting out from the homotopies (Everitt 2004), we convert them into deck operations, acting on the simply connected three-sphere as the cover, and obtain the corresponding variety of deck groups. For each topology, the three-sphere is tiled into copies of a fundamental domain under the cor...