Objective
A fundamental philosophical question is whether the mind can be mechanised. Attempts to answer it so far have been inconclusive; I argue that with the tools of mathematical logic this question can be sharpened and addressed in a framework where genuine progress can be achieved.
I will consider a disjunctive thesis proposed by Gödel (known as Gödel's Disjunction) as a precise version of this question. Once sharpened, the question becomes whether a Turing machine (an idealised computer) can output exactly the statements that are 'absolutely provable'—i.e. the mathematical statements that can be proved in principle by an idealised mathematician not bound by limitations of time and cognitive resources. Gödel's Disjunction states that either the powers of the human mind exceed those of a Turing machine, or there are true but unprovable mathematical statements—i.e. mathematical statements that are beyond the reach of human reason.
My proposed research will provide a novel account of 'absolute provability' or 'provability in principle' by developing a formal framework that overcomes the philosophical and technical shortcomings of the previous approaches. Having formulated the correct framework for absolute provability and uncovered its underlying mechanisms, I will be able to determine the status of Gödel’s disjunction. This will shed considerable light on the question of whether mind can be mechanised, a question central to philosophy of mind and artificial intelligence, and on the scope and limits of mathematical knowledge.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences artificial intelligence
- natural sciences mathematics pure mathematics discrete mathematics mathematical logic
- natural sciences mathematics pure mathematics arithmetics
- natural sciences computer and information sciences computational science
- humanities philosophy, ethics and religion philosophy
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
MSCA-IF-EF-ST - Standard EF
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2015
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
80539 MUNCHEN
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.