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The Buddhist Sengzhao’s Roots in Daoism: Ex Contradictione Nihil
Sengzhao (c.374–414) was a Chinese Neo-Daoist who converted to Mahāyāna Buddhism, and few people doubt his influence on Chinese Buddhist philosophy....
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Philosophers, Mathematics and Motion
Kinematics studies motion without considering masses and forces. It deals with geometric objects such as points, lines or planes that move in a fixed...
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Asteroid-Generated Tsunamis: A Review
We study ocean waves caused by an asteroid airburst located over the ocean. The concern is that the waves would damage distant coastal cities. Simple...
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The Middle East, or the Beginning
There is a story in The Odyssey by the Greek poet Homer: after the itinerant hero Odysseus had struck out the eye of the cyclops Polyphemus, the...
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Is Mathematics Connected to Religion?
Modern mathematics has been shaped by the process of secularization of science. Yet even some present-day mathematicians use religious terms behind...
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The Ethics of Mathematical Practice
This chapter examines the role and need for ethics in mathematical practice. Mathematics is one of the few areas of study in which ethics is widely...
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Paul Mongré as a Philosopher
As a student at Leipzig University, Hausdorff pursued very wide-ranging interests in his studies, which extended far beyond the standard courses in...
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From Complex Dynamics to the Architecture of the City
The paper presents a theory for the architecture of the city. The aim of the theory, based on the imitation of cities that grow spontaneously, is to...
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Pavel Florensky and His World
This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the Silver Age of...
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Paul Mongré: Author, Essayist and Critic
The first traces of Hausdorff’s talent as a poet date back to his last two years at the Gymnasium. Unfortunately, nothing remains from the poems he...
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Pavel Florensky and His World
This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the Silver Age of...
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Is Mathematics Connected to Religion?
Modern mathematics has been shaped by the process of secularization of science. Yet even some present-day mathematicians use religious terms behind...
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Cracking bones and numbers: solving the enigma of numerical sequences on ancient Chinese artifacts
Numerous recent discoveries in China of ancient tombs have greatly increased our knowledge of ritual and religious practices. These discoveries...
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The Problem of Mathematical Generality
The questions I shall answer in this Section are: how can a proof like the one in our paradigmatic proposition III.2 be a general proof? How can...
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Dynamical Systems and Fitness Maximization in Evolutionary Biology
Five years after Charles Darwin put forward his theory of Natural Selection, Herbert Spencer coined the phrase “survival of the fittest.” Survival of...
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Dynamical Systems and Fitness Maximization in Evolutionary Biology
Five years after Charles Darwin put forward his theory of Natural Selection, Herbert Spencer coined the phrase “survival of the fittest.” Survival of...
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The Ethics of Mathematical Practice
This chapter examines the role and need for ethics in mathematical practice. Mathematics is one of the few areas of study in which ethics is widely...
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(Article II.1.) Existence, Substantiality, and Counterfactuality Observations on the Status of Mathematics according to Aristotle, Euclid, and Others
The article tries to answer the (arguably anachronistic) question whether ancient philosophers and mathematicians held mathematical objects or...
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Modeling and Optimization of Hybrid Transfers to Near Earth Objects
Hybrid propulsion combines chemical propulsion and electric propulsion on the same platform. The brand-new hybrid transfers are thus achieved by...
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(Article II.6.) State, “Justice”, Scribal Culture and Mathematics in Ancient Mesopotamia. Sarton Lecture 2008
The functioning of the modern state presupposes a variety of mathematical technologies – accounting, statistics, and much more. Mathematics, on its...