This book presents the entire body of thought of Norbert Wiener (1894-1964), knowledge of which is essential if one wishes to understand and correctly interpret the age in which we live.
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry.
Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space.
The purpose of the Reasoning Web Summer School is to disseminate recent advances on reasoning techniques and related issues that are of particular interest to Semantic Web and Linked Data applications.
The present collection of seventeen papers, most of them already published in international philosophical journals, deals both with issues in the philosophy of logic, the philosophy of mathematics, the philosophy of language and epistemology.
This book explores new findings on the long-neglected topic of theory construction and discovery, and challenges the orthodox, current division of scientific development into discrete stages: the stage of generation of new hypotheses; the stage of collection of relevant data; the stage of justification of possible theories; and the final stage of selection from among equally confirmed theories.
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms.
The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers.
Das Unendliche hat wie keine andere Frage von jeher so tief das Gemüt der Menschen bewegt," das Unendliche hat wie kaum eine andere Idee auf den Verstand so an regend und fruchtbar gewirkt," das Unendliche ist aber auch wie kein anderer Begriff so der Aufklärung bedürftig.
The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s.
Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information.
