Dini's theorem says that compactness of the domain, a metric space, ensures the uniform convergence of every simply convergent monotone sequence of real-valued continuous functions whose limit is continuous. By showing that Dini's theorem is equivalent to Brouwer's fan theorem for detachable bars, we provide Dini's theorem with a classification in the recently established constructive reverse mathematics propagated by Ishihara. As a complement, Dini's theorem is proved to be equivalent to the analogue of the fan theorem, weak König's lemma, in (...) the original classical setting of reverse mathematics started by Friedman and Simpson. (shrink)

Volume 2 of Josef Pieper's three-part autobiography is here presented for the first time in English translation. The volume represents not just a simple continuation of a seamless story. The first volume dealt with Pieper's life from his birth in 1904 to the time of World War 2. The current volume deals with the post-war years, 1945-1964, offering a personal documentation of the institutional rubble through which an emerging academic and philosopher had to find his way. This included finding (...) work, re-establishing himself in the family home, completing his academic education, and beginning to teach philosophy in a climate of despair and disillusionment. In this context, the quintessential Pieper emerges. His positive philosophy of being, firmly based on Plato and Thomas Aquinas, finds extraordinary resonance with students, who flock to his lectures in surprising numbers -- seeking and finding a positive way forward. His dedication to training teachers sees him declining higher academic posts in Germany in favor of work which, though less lucrative and more obscure, he considered more fruitful. These years are also marked by his fiercely independent stance over against the Catholic hierarchy -- despite his staunch adherence to the tradition values of Christianity. His popularity as a philosopher and teacher quickly spread to America, where he was invited to teach at famous universities. His fame led to further travels -- to Switzerland, England, France, Spain, India, China, Saigon, and Thailand. Such travels enriched his thinking and nourished the open-mindedness of the Western philosopher. (shrink)

: The discussion of whether people understand themselves and others by using theories of behaviour or by simulating mental states lacks conclusive empirical evidence. Nichols et al. have proposed the Langer effect as a critical test. From people's inability accurately to predict the difference in the subjective value of lottery tickets in choice and no‐choice conditions, they argued that people do not simulate behaviour in such situations.In a series of four experiments, we consistently failed to replicate the original difference between (...) choice and no‐choice under the conditions used by Nichols et al. We conclude that the replicability of the effect depends on an unknown combination of factors. As long as the target effect is not better understood and under better experimental control, it is difficult to use it as a yardstick against which the accuracy of simulation can be assessed. (shrink)

Articles, speeches, etc. on communism and Christianity.

Das spezifische Können der Philosohpie als [eu legein] (1937).--Das System von Leibniz (1946).--Über einen neuen ontologischen Beweis des Satzes von der Notwendigkeit alles Geschehens (1948).--Bemerkungen über den Begriff der Ursache (1949).--Die Natur der ästhetischen Wirkung (1957).--Einige Bemerkungen über den formalen Charakter des Unterschieds von Ding und Eigenschaft (1967).