Project description
Exploring truth and objectivity in mathematics through intuitionism and society
In mathematics, the notions of truth and objectivity have long been a subject of intense debate among historians and philosophers of science and mathematics. While other human pursuits are readily acknowledged as socially constructed, the social aspects of mathematics have remained contentious. Supported by the Marie Skłodowska-Curie Actions programme, the TOKMAT project employs intuitionism to develop a socially oriented perspective on mathematical truth. By treating mathematical entities as creations of the mind that are simultaneously influenced by external elements, this approach opens doors to a comprehensive evaluation of truth and objectivity. By delving into history, sociology, and philosophy, TOKMAT aims to uncover the intricate interplay between mathematics and society, contributing to the debates on epistemology and the evolution of knowledge.
Objective
Like all human undertakings, mathematics is pursued, promoted, and developed by socially and culturally situated practitioners immersed in the complex collectivities of their communal, practical, and institutional affiliations. However, while few would oppose viewing any other major, artistic, social, political, or religious undertaking as socially constructed, social constructivism in mathematics, specifically regarding the notions of truth and objectivity, remains highly contested among historians and philosophers of science and mathematics. The TOKMAT project uses intuitionism in order to develop a new technique for understanding the concept of truth in mathematics. This technique will be based on a conceptual analysis of the ideas of truth, realism, objectivity, and knowledge in mathematics through the prism of social constructivism. Intuitionism presented an alternate mathematical framework to classical mathematics, that viewed mathematical entities as creations of the mind. As intuitionism acknowledges the social constructivists’ claim that truth is a wholly human construction, it is a springboard towards a wide-reaching rethinking of the main constructivist account of mathematics. As a non-mainstream mathematical school whose ideas are still being discussed, intuitionism is a springboard towards exploring the social organization of scientific knowledge and its impact on our understanding of concepts like truth and objectivity. The project, therefore, brings together the history, sociology and philosophy of mathematics in order to provide new ways of understanding the notions of truth and objectivity in mathematics as shaped by both external and contextual elements. In doing so, this project aspires to contribute to the heady debates on epistemology, philosophy of mathematics, and the social constitution of warranted 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.
This project's classification has been validated by the project's team.
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.
This project's classification has been validated by the project's team.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
HORIZON-TMA-MSCA-PF-GF - HORIZON TMA MSCA Postdoctoral Fellowships - Global Fellowships
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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) HORIZON-MSCA-2022-PF-01
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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.
91904 JERUSALEM
Israel
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.