Dr Guillermo Badia

ARC DECRA Research Fellow

School of Historical and Philosophical Inquiry
Faculty of Humanities and Social Sciences
g.badia@uq.edu.au
+61 7 336 53321

Overview

I'm a Lecturer in Philosophy (continuing position) at the University of Queensland (Australia). Before this, I was a postdoc in mathematical logic in the Department of Knowledge-Based Mathematical Systems at Johannes Kepler University Linz (Austria) on an FWF project on residuated structures. Overlapping with this, I also worked on a GACR project on predicate graded logics in computer science. I received my PhD from the University of Otago (New Zealand) in 2017. From 2022-2025, my research will be supported by an ARC Discovery Early Career Researcher Award (DE220100544). There is a workshop to kick off the project in 10-12 November 2022. I'm an editor of the Journal of Multiple-Valued Logic and Soft Computing (so please get in touch if you want me to handle your manuscript).

Research Interests

  • Many-valued logics and related algebras
    fuzzy logics, residuated lattices, model theory of fuzzy logics
  • Substructural logics with relational semantics
    intuitionistic logic, relevant logic
  • Non-classical mathematics
    mathematics done in a non-classical logical background

Qualifications

  • Doctor of Philosophy, University of Otago

Publications

View all Publications

Grants

View all Grants

Supervision

  • Doctor Philosophy

  • Doctor Philosophy

  • Doctor Philosophy

View all Supervision

Publications

Featured Publications

Book Chapter

  • Badia, Guillermo and Weber, Zach (2019). A substructural logic for inconsistent mathematics. Dialetheism and its applications. (pp. 155-176) edited by Adam Reiger and Gareth Young. Cham, Switzerland: Springer. doi: 10.1007/978-3-030-30221-4_9

Journal Article

Conference Publication

  • Gaina, Daniel, Badia, Guillermo and Kowalski, Tomasz (2022). Robinson consistency in many-sorted hybrid first-order logics. 2022 Advances in Modal Logic (AiML), Rennes, France, 22-25 August 2022. London, United Kingdom: College Publications.

  • Badia, Guillermo and Noguera, Carles (2018). Saturated models in mathematical fuzzy logic. 2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL), Linz, Austria, 16-18 May 2018. Piscataway, NJ United States: Institute of Electrical and Electronics Engineers. doi: 10.1109/ismvl.2018.00034

Other Outputs

Grants (Administered at UQ)

PhD and MPhil Supervision

Current Supervision

  • Doctor Philosophy — Principal Advisor

  • Doctor Philosophy — Principal Advisor

  • Doctor Philosophy — Principal Advisor

    Other advisors:

  • Doctor Philosophy — Associate Advisor

    Other advisors:

  • Doctor Philosophy — Associate Advisor

    Other advisors: