Abstract Numerical simulations of a complete laser powder bed fusion (LPBF) additive manufacturing (AM) process are extremely challenging, or even impossible, to achieve without radical model reduction the complex physical phenomena occurring during process. However, when we adopt reduced with simplified physics, geometries parts usually produced by LPBF AM processes make this kind analysis com...

Abstract On a very natural conception of sets, every set has an absolute complement. The ordinary cumulative hierarchy dismisses this idea outright. But we can rectify this, whilst retaining classical logic. Indeed, develop boolean algebra sets arranged in well-ordered levels. I show by presenting Boolean Level Theory, which fuses Theory (from Part 1) with ideas due to Thomas Forster, Alonzo Ch...