QUANTA MAGAZINE | MATHEMATICS | WOLCHOVER | 05.24.2016
|| MATHEMATICIANS BRIDGE FINITE INFINITE DIVIDE ||
A surprising new proof is helping to connect the Mathematics of Infinity to the physical world .
Mathematicians Ludovic Patey and Keita Yokoyama have found a bridge across the Finite Infinite divide , helping at the same time to map this strange boundary .
The boundary does not pass between some huge Finite number and the next , Infinitely large one . Rather , it separates two kinds of Mathematical statements :
" Finitistic " ones , which can be proved without invoking the concept of Infinity , and " Infinitistic " ones , which rest on the assumption — not evident in nature — that Infinite objects exist .
Mapping and understanding this division is " at the heart of Mathematical logic " , said Theodore Slaman , a professor of Mathematics at the University of California , Berkeley .
This endeavor leads directly to questions of Mathematical objectivity , the meaning of Infinity and the relationship between Mathematics and physical reality .
SOURCE | SATYAVEDISM.ORG