From India to Spain, the brilliant civilization of Islam flourished. What was lost to Christendom at this time was not lost to civilization, but quite the contrary… To us it seems that West-European civilization is civilization; but this is a narrow view.
Bertrand Russell, History of Western Philosophy
- On the dimensionality of spacetime (space.mit.edu)
Some superstring theories have more than one effective low-energy limit corresponding to classical spacetimes with different dimensionalities. We argue that all but the (3 + 1)-dimensional one might correspond to ‘dead worlds’, devoid of observers, in which case all such ensemble theories would actually predict that we should find ourselves inhabiting a (3 + 1)-dimensional spacetime. With more or less than one time dimension, the partial differential equations of nature would lack the hyperbolicity property that enables observers to make predictions. In a space with more than three dimensions, there can be no traditional atoms and perhaps no stable structures. A space with less than three dimensions allows no gravitational force and may be too simple and barren to contain observers.
Stanford Encyclopedia of Philosophy
- Bertrand Russell (plato.standford.edu)
Bertrand Arthur William Russell (1872–1970) was a British philosopher, logician, essayist and social critic best known for his work in mathematical logic and analytic philosophy. His most influential contributions include his championing of logicism (the view that mathematics is in some important sense reducible to logic), his refining of Gottlob Frege’s predicate calculus (which still forms the basis of most contemporary systems of logic), his defense of neutral monism (the view that the world consists of just one type of substance which is neither exclusively mental nor exclusively physical), and his theories of definite descriptions, logical atomism and logical types.
- Bertrand Russell (Wikipedia)
Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.