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Syllogistic Logic and Mathematical Proof
Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further cri...
Mathematics is the Poetry of Science
Shorter and more light-hearted than his theoretical academic works, Mathematics is the Poetry of Science represents Villani's attempt to communicate his love of mathematics to a wider audience, and is an interesting contribution from one of the world's finest living mathematicians
The Cambridge History of Philosophy of the Scientific Revolution
A collection of cutting-edge scholarship on the close interaction of philosophy with science at the birth of the modern age.
Thin Objects
Mathematics appears to be concerned with abstract objects such as numbers and sets. What are these objects? Oystein Linnebo develops a distinctive approach to ontology, in which abstract objects such as numbers and sets are demystified and allowed to exist alongside more familiar physical objects.
Mathematicians and Their Gods
This is a book on the relationship between mathematics and religious beliefs. This book shows that, throughout scientific history, mathematics has been used to make sense of the 'big' questions of life, and that religious beliefs sometimes drove mathematicians to do mathematics to help them make sense of the world
Abstraction and Infinity
Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
Memory and Learning in Plants
This book assembles recent research on memory and learning in plants. Organisms that share a capability to store information about experiences in the past have an actively generated background resource on which they can compare and evaluate coming experiences in order to react faster or even better. This is an essential tool for all adaptation purposes. Such memory/learning skills can be found from bacteria up to fungi, animals and plants, although until recently it had been mentioned only as capabilities of higher animals. With the rise of epigenetics the context dependent marking of experiences on the genetic level is an essential perspective to understand memory and learning in organisms....
Rethinking Stevin, Stevin Rethinking
This book studies the Dutch mathematician Simon Stevin (1548-1620) as a new type of ‘man of knowledge’. Traditionally, Stevin is best known for his contributions to the ‘Archimedean turn’. This innovative volume moves beyond this conventional image by bringing many other aspects of his work into view, by analysing the connections between the multiple strands of his thinking and by situating him in a broader European context. Like other multi-talents (‘polymaths’) in his time (several of whom are discussed in this volume), Stevin made an important contribution to the transformation of the ideal of knowledge in early modern Europe. This book thus provides new insights into the phenomenon of ‘polymaths’ in general and in the case of Stevin in particular.
Interactions in the Marine Benthos
A comprehensive account of how abiotic and biotic interactions shape patterns of coastal marine biodiversity and ecosystem processes globally.
Copper and Bacteria
In the past two decades, great progress has been made in the understanding of copper as a bioelement. The book summarizes the current knowledge of copper toxicity, homeostasis and resistance in bacteria, in which proteins like copper ATPases, copper chaperones and copper-responsive regulators of gene expression play major roles. The author also discusses the metallation of cuproenzymes. The evolution of the use of copper by cells and of copper-homeostatic proteins are is also considered in this Brief.
