The Noosphere

Under the impact of this passage from simple to squared numbers, we all become aware that the entrance is open for the hominised consciousness into a new inner world: the world of the Universe as thought. But do we sufficiently notice that simultaneously, in the realm of the measurable and tangible, another form of ' generalisation '—also as the result of reflexion — becomes possible and outlines itself: no longer simply for our knowledge, the systematised perception of total time and tot...

 Physics Delves into More and More Abstract Mathematics

The steady progress of physics requires for its theoretical formulation a mathematics which get continually more advanced. ... it was expected that mathematics would get more and more complicated, but would rest on a permanent basis of axioms and definitions, while actually the modern physical developments have required a mathematics that continually shifts its foundation and gets more abstract. Non-euclidean geometry and noncommutative algebra, which were at one time were considered to be pu...