Mathesis Universalis, Computability and Proof
Language: English
Published by Springer, 2020
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Druck auf Anfrage Neuware - Printed after ordering - In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto be 'the science of all things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.…
Seller Inventory # 9783030204495
- Title
- Mathesis Universalis, Computability and Proof
- Author
- Sara Negri
- Publisher
- Springer
- Publication year
- 2020
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3030204499
- ISBN 13
- 9783030204495
- Item weight
- 581 grams
- Dimensions
- 235x155x21 mm
- Series
- Book 247 of 304: Synthese Library
"Synopsis" may belong to another edition of this title.
About the Author
Stefania Centrone is currently Privatdozentin at the University of Hamburg, teaches and does research at the Universities of Oldenburg and of Helsinki and has been in 2016 deputy Professor of Theoretical Philosophy at the University of Göttingen. In 2012 she was awarded a DFG-Eigene Stelle for the project Bolzanos und Husserls Weiterentwicklung von Leibnizens Ideen zur Mathesis Universalis and 2017 a Heisenberg grant. She is author of the volumes Logic and philosophy of Mathematics in the Early Husserl (Synthese Library 2010) and Studien zu Bolzano (Academia Verlag 2015).
Sara Negri is Professor of Theoretical Philosophy at the University of Helsinki, where she has been a Docent of Logic since 1998. After a PhD in Mathematics in 1996 at the University of Padova and research visits at the University of Amsterdam and Chalmers, she has been a research associate at the Imperial College in London, a Humboldt Fellow in Munich, and a visiting scientist at the Mittag-Leffler Institute in Stockholm. Her research interests range from mathematical logic and philosophy of mathematics to proof theory and its applications to philosophical logic and formal epistemology.
Deniz Sarikaya is PhD-Student of Philosophy and studies Mathematics at the University of Hamburg with experience abroad at the Universiteit van Amsterdam and Universidad de Barcelona. He stayed a term as a Visiting Student Researcher at the University of California, Berkeley developing a project on the Philosophy of Mathematical Practice concerning the Philosophical impact of the usage of automatic theorem prover and as a RISE research intern at the University of British Columbia. He is mainly focusing on philosophy of mathematics and logic.
"About the title" may belong to another edition of this title.
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