Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation

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Dynamic Existence

I am an individual. Nothing and nobody else occupies my standpoint. Otherwise, he would be I. Thus, all what I perceive is individual, perspective of an individual, part of me. The computer screen should be a part of me

A Targeted Existence

Over the summer, I visited a friend from Gettysburg who was having a party. The party was fun for the first half, and I was having a good time, so I decided to stay the night instead of walk in the dark to the bus. This is what parents and educators and older sisters and women everywhere had taught me: stay with people you know; clutch your keys in your hand; don’t walk alone. I was staying with my friend from school; I was safe. [excerpt

Truth and Existence

Halbach has argued that Tarski biconditionals are not ontologically conservative over classical logic, but his argument is undermined by the fact that he cannot include a theory of arithmetic, which functions as a theory of syntax. This article is an improvement on Halbach's argument. By adding the Tarski biconditionals to inclusive negative free logic and the universal closure of minimal arithmetic, which is by itself an ontologically neutral combination, one can prove that at least one thing exists. The result can then be strengthened to the conclusion that infinitely many things exist. Those things are not just all Gödel codes of sentences but rather all natural numbers. Against this background inclusive negative free logic collapses into noninclusive free logic, which collapses into classical logic. The consequences for ontological deflationism with respect to truth are discussed