Paul Carus Quote

The truth is that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements. There is one space only, though we may conceive of many different manifolds, which are contrivances or ideal constructions invented for the purpose of determining space.


Science, Vol. 18 (1903), p. 106, as reported in Memorabilia Mathematica; or, The Philomath's Quotation-Book, (1914), by Robert Edouard Moritz, p. 352


The truth is that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements....

The truth is that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements....

The truth is that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements....

The truth is that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements....