A comprehensive account of the constructive theory of the first-order predicate calculus,
which is central to modern mathematical logic and important for mathematicians,
philosophers and scientists whose work impinges upon logic. The first half of the book gives …

Page 1. ON POLYA FREQUENCY FUNCTIONS IV: THE FUNDAMENTAL SPLINE FUNCTIONS
AND THEIR LIMITS(*) By n. B. CURRY AND IJ SCHOENBERG CONTENTS Introduction I. On
spline functions 1. The fundamental spline functions M.(x) . . . . 73 2. A geometric interpretation …

… Senor Robin Smith Daniel Star Jussi Suikkanen Lynne Tirrell Aness Webster Other editors Contact
us Learn more about PhilPapers. Haskell B. Curry, Robert Feys & William Craig. Philosophical
Review 68 (4):548-550 (1959). Abstract, This article has no associated abstract. (fix it). Keywords …

1. Introduction. The problem considered here is that of minimizing a function of n real
variables, G {xi,•••, xn). The object is to find a practical method for evaluating, approximately
at least, a stationary point for G. This problem includes as a special case that of solving a set …

1. Introduction. It is a common observation that human progress is most difficult in those
fields which do not belong exclusively under one of the accepted major branches of
knowledge. With respect to such fields we are frequently in the position of the six blind men …

1. Introduction.-In an attempt to resolve the foundations of logic and mathematics into their
elements, it has occurred to several persons that certain notions, ordinarily taken as
primitive, could be analyzed into constituents of much simpler nature. Among such notions …

In the opening days of September, 1939, just as the Second World War was breaking out, an
International Congress for the Unity of Science was held at Cambridge, Massachusetts. The
committee in charge of that congress invited me to submit a paper there. This invitation …

Abstract A proof that certain systems of formal logic are inconsistent, in the sense that every
formula expressible in them is provable, was published by Kleene and Rosser under the
above title in 1935. For the case where the underlying system satisfies an additional …