the contraposition (musāmita) argument is among the arguments for proving the finitude of dimensions that has received attention in discussing physics and has yielded some philosophical consequences. contraposition argument is based on the two concepts of motion and contraposition, and by proving the impossibility of the motion of circle in case of the infinitude of dimensions, it deals with th...

in this article, the compatibility of the opinion on the impossibility of reincarnation and belief in bodily resurrection in transcendental philosophy is studied. to this end, while defining and mentioning different types of reincarnation, some impediments that caused the transcendental philosophers consider reincarnation as impossible are compiled. then it is specified, with regard to the opin...

Let (X,???X),(Y,???Y) be normed spaces with dim?(X)=n. Bourgain's almost extension theorem asserts that for any ?>0, if N is an ?-net of the unit sphere X and f:N?Y 1-Lipschitz, then there exists O(1)-Lipschitz F:X?Y such ?F(a)?f(a)?Y?n? all a?N. We prove this optimal up to lower order factors, i.e., sometimes maxa?N??F(a)?f(a)?Y?n1?o(1)? every F:X?Y. This improves bound maxa?N??F(a)?f(a)?Y?nc?...