... university work focused on studying mathematics and physics. Lipót Fejér, the doyen of Hungarian mathematics of that period, was in love with Valéria. He happened to introduce Paul Dienes to her, with the remark that Paul Dienes was a mathematical genius, an introduction that led to their marriage. Valéria began her doctoral studies of philosophy by listening to Bernát Alexander's lectures, the leading philosopher of Budapest those days, just like Pólya and many contemporary intellectuals did. She received her degree in the same ceremony as Paul Dienes in 1905 at Pázmány Péter University, Budapest. They exchanged engagement rings during that ceremony. Paul received his doctorate in mathematics. Valéria's doctorate was in philosophy as a major subject with a first minor in mathematics and a second minor in aesthetics.

The couple had a common interest in epistemology and in the philosophy of mathematics and physics at a time when the university life of Paris was loud from the discussion of functional representations of physical quantities, duration, and measurable time. Einstein's definitions on simultaneity and thoughts on the relativity of length and time (1905) began to become more widely known these days in France, while Bergson's public lectures in the Collège de France went on about 'duration' and 'time'. The couple worked together on common analytical functional topics. Paul had a strong interest in the mathematical problems of the theory of relativity and vector space singularities. Reports on their work in this period were published in the 'Comptes Rendus' of the Académie des Sciences, and in several papers in Hungarian.

During the Government of Bela Kun, Dienes took an active part in educational work in relation to the University. When this Government fell in 1919, Dienes had to leave Hungary in haste, with his life in danger. He has given me entertaining and thrilling accounts of his escape, and of his activities in the first period after his exile; for example, he escaped from Hungary in a cargo boat on the Danube which was supposed to be carrying beer to Vienna, and he occupied one cask instead of the beer. He duly arrived in Vienna ...

Your attack on the mathematical theories by Weyl and Eddington only touches the formulation, not however the content. Weyl had treated the second-order quantities loosely negligently but in a manner that is easily demonstrated to be innocuous. I am sending you a small book in which you will find on pages 48-49 a proof Levi-Civita's and Weyl's train of thought sketched a little more precisely, against which there ought to be no objection, in which he avoids these inaccuracies so such objections do not arise anymore.

Professor Dienes has here performed a notable service to the mathematical world in assembling and ordering in a thoroughgoing manner the modern theories relating to Taylor series. From its title and subtitle one might suppose the book to be another elementary text book on complex function theory from the Weierstrass point of view. The title however is too modest. The book is a pioneer in its field and makes no inconsiderable demands on the maturity of its readers.

This treatise conducts the reader from the elements of real variable theory into some of the furthest reaches of complex analysis. ... It would be difficult to overestimate the value, for advanced students, of these later chapters in Dienes' book. They reduce to didactic form a large section of the recent literature on complex analysis. ... this treatise ... is the work of a distinguished authority and will hold an important place in every mathematical library.

In this paper we give the complete list of the functions of one variable with some of their properties, and lists of functions corresponding to various properties of sum, product, implication, and equivalence. The range of the variables as well as that of functional values will be 0 (false), $\large\frac{1}{2}\normalsize$, 1 (true). As an application we consider Frege's, Russell's and Heyting's systems in ternary logic. The proofs are mostly omitted as obvious if sometimes laborious.

It is well known that in a three-valued propositional calculus with the values 0, $\large\frac{1}{2}\normalsize$, 1 there is no unequivocal determination of the matrix system defining the logical connections due to the lack of a generally recognised interpretation. Usually, however, one will proceed in such a way that the logical functions for 0 and 1 retain the same values that they have in two-valued logic. Symmetry will be required for disjunction, conjunction and equivalence. The author now undertakes to list the various possibilities that then remain for negation, disjunction, conjunction, implication and equivalence and to group them according to their main properties. It is stated which types of conjunctions and disjunctions are associative, which disjunctions with regard to which conjunctions satisfy one or the other of the two distributive laws, and for which definition of negation, conjunction and disjunction De Morgan's formulas apply.

The first thing to remember about him was that he had a philosophical and mathematical discipline as the core of his mind, but music had an almost Schopenhauerian significance for him .... I think, therefore, that his poetry represented an attempt at an amalgam of these various sensibilities, so that the sound pattern of the verse seems to overbalance the pattern of the sense. It is possible that I, as someone with a musical discipline, and abiding interest, though no aptitude, for philosophy, can savour Dienes's poetry better than most.

Dienes had a most charming personality, and was much loved by both his colleagues and his students.