Syntax and Semantics

• exposé

Syntax and Semantics by Edward Nelson Department of Mathematics Princeton University The year is 2002 and here we are at a symposium on Foundations and the Ontological Quest. The first thing to say is how bleak the present situation is. In foundational studies of mathematics and physics we have been stuck for seventy years; despite numerous books, articles, and meetings, there has been no real progress. Seventy years ago Godel established his incompleteness theorem [1], destroying the foundational program of David Hilbert [2].

• classical mathematics
• mathematics for 57 years
• j. tonson
• original semantics of motion into an infinitesimal region
• infinitesimal
• foundational role
• e. s. craighill
• seventy years
• mathematics
• 3 mathematics
• semantics