In the proof of the consistency of the Continuum Hypothesis and the Axiom of Choice with the other axioms of set theory, GÃ¶del [ l ] introduced the notion of a constructible set and showed that theâ€¦ (More)

Attitudes towards formalization and proof have gone through large swings during the last 150 years. We sketch the development from Frege's first formalization, to the debates over intuitionism andâ€¦ (More)

where (x, g) denotes % evaluated at g. Each % thus yields a homomorphism of M(G) onto the complex numbers. Every such homomorphism of L(G) is obtained in this way. Let <f> be a homomorphism of L{G)â€¦ (More)

A 51-year-old female presented to the emergency department complaining of left-sided, nonpleuritic chest pain and a 10-lb. weight loss over the previous 2 months. She was a current smoker with a 20â€¦ (More)

i = 0 \ i = 0 \ k = l 1 = 0 \ where the knots a, /? and rjkeT are of multiplicity n, m and /ik respectively, and the total multiplicity of the interior knots is stipulated to be YJ=i fa â€” > Theâ€¦ (More)

where the line integral is taken in a positive sense around the curve C. In [l] Bochner investigated under which conditions (1) holds. There it was shown that if A and B have certain regularityâ€¦ (More)