Mathematics: Hermann Grassmann was right

Was Einstein 100% Right ? *

The confrontation between General Relativity and experimental results, notably binary pulsar data, is summarized and its significance discussed. The agreement between experiment and theory is numerically very impressive. However, some recent theoretical findings (existence of non-perturbative strong-field effects, natural cosmological attraction toward zero scalar couplings) suggest that the pr...

Fisher Was Right

Was Sierpinski Right? IV

We prove for any μ = μ < θ < λ, λ large enough (just strongly inaccessible Mahlo) the consistency of 2 = λ → [θ]23 and even 2 μ = λ → [θ]2σ,2 for σ < μ. The new point is that possibly θ > μ. Typed 5/92 (20 , k 2 -Mahlo,λ → [א2]23; some on models) I thank Alice Leonhardt for the beautiful typing. Latest Revision 2012/Oct/24 Revised and Expanded 5/94 based on lectures, Summer ’94, Jerusalem. Part...

An Algebra of Pieces of Space — Hermann Grassmann to Gian Carlo Rota

We sketch the outlines of Gian Carlo Rota’s interaction with the ideas that Hermann Grassmann developed in his Ausdehnungslehre[13, 15] of 1844 and 1862, as adapted and explained by Giuseppe Peano in 1888. This leads us past what Gian Carlo variously called Grassmann-Cayley algebra and Peano spaces to the Whitney algebra of a matroid, and finally to a resolution of the question “What, really, w...

Language lateralisation and early right ear deafness: was Wernicke right?

The effects of early right ear deafness on lateralisation of auditory language functions are not fully known. A 36 year old right handed man, with a history of perinatal right ear deafness and undergoing evaluation for surgical treatment of seizures that began at age 10 years was studied. Language lateralisation testing by intracarotid sodium amobarbital injection showed receptive and expressiv...