Alonzo Church, in his comments to the Congress in Moscow, suggested that the "Gödel-Cohen results and subsequent extensions of them have the consequence that there is not one set theory but many, with the difference arising in connection with a problem which intuition still seems to tell us must 'really' have only one true solution".
This will be so provided there exist two circumstances, in connection with problems considered here, which ensure achieving the provisos mentioned.
As Arntzenius and Hall (2003) have pointed out (in connection with the problems for reductionism about chance), some probability functions which obey the Principal Principle perfectly are very unlike chances.
For the equation (Δ+c) u=uα, whereΔis the Beltrami Laplace operator on a complete Riemannian manifoldE, strictly positive solutions inEwere studied in connection with a geometrical problem: Which two functions represent scalar curvatures of two Riemannian metrics related by a conformal mapping (see [1] and references there)?
But none of the three was indicted in connection with those problems.
The Food and Drug Administration fined the company $500 million last year in connection with the problems.
The German mathematician Carl Friedrich Gauss (1777 1855), in connection with practical problems of surveying and geodesy, initiated the field of differential geometry.
It's a medical term and is often used in connection with health problems.
The number occurs naturally in connection with many problems involving asymptotics.
In connection with sudden-acceleration problems with Toyota and Lexus vehicles, which have been blamed for dozens of deaths, Strickland imposed a series of record fines on Toyota, including $48.8 million in 2010 and $17.4 million in 2012.
The British mathematician George Boole at about the same time used combinatorial methods in connection with the development of symbolic logic, and the combinatorial ideas and methods of Henri Poincaré, which developed in the early part of the 20th century in connection with the problem of n bodies, have led to the discipline of topology, which occupies the centre of the stage of mathematics.
