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The Gödel Enigma Unveiling a Hidden Logical Heritage

Research in logic and foundations of mathematics received an enormous impact through the incompleteness theorems that Kurt Gödel published in 1931. They are among the most iconic scientific achievements of the 20th century. These... ver más

31/08/2024

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Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2024-08-31

ERC-2017-ADG: ERC Advanced Grant

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AMPO, S.COOP.LTDA.

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Duración del proyecto: 76 meses Fecha Inicio: 2018-04-27
Fecha Fin: 2024-08-31

Líder del proyecto

HELSINGIN YLIOPISTO No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 2M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto Research in logic and foundations of mathematics received an enormous impact through the incompleteness theorems that Kurt Gödel published in 1931. They are among the most iconic scientific achievements of the 20th century. These results led to the development of true formal systems and to the notions of formal languages and algorithmic computability that are connected to such names as Alonzo Church and Alan Turing. The said notions are the direct basis on which the first programming languages and computers were built two decades later. Thus, the present information society owes a - well hidden - debt to the theoretically oriented foundational research that sprung off from Gödel's results. Strangely enough, there are several thousand pages of notes by this foremost figure of logic that have remained almost completely untouched. Such a situation would be unthinkable in many other fields. Say, with modern physics, every effort would have been made if Einstein - even Gödel's colleague and friend at the Princeton Institute - had left behind such a patrimony! With Gödel, the difficulty lies in part in the fact that the work is written down in an obsolete, forgotten old German stenographic script called Gabelsberger, a true enigma for those interested in the contents. A second difficulty is the intrinsic logical complexity of the work. The central aim of the project is to make this work available to future generations of logicians and philosophers. The principal investigator is in a unique position of being able to read the Gabelsberger notes and to interpret their logical content: What they mean in a historical-foundational context, what their significance is for today's research problems in logic, and how they change the view of Gödel as one of the most original thinkers of a century.

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