Skip to main content

Introduction

Décio Krause, Quantum Mechanics, Non-individuality, and This Volume

  • Chapter
  • First Online:
Non-Reflexive Logics, Non-Individuals, and the Philosophy of Quantum Mechanics

Part of the book series: Synthese Library ((SYLI,volume 476))

  • 123 Accesses

Abstract

This chapter is an Introduction to this volume, presenting in brief each of the contributed chapters. We also indicate how the chapters relate to each other and how they connect to themes to be found in the philosophy of Décio Krause.

J. R. B. Arenhart was partially funded by CNPq.

R. W. Arroyo was supported by grants #2022/15992-8 and #2021/11381-1, São Paulo Research Foundation (FAPESP).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

The Selected Work of D\(\grave {e}\)cio Krause

  • Arenhart, J. R. B., & Krause, D. (2014a). From primitive identity to the non-individuality of quantum objects. Studies in History and Philosophy of Modern Physics, 46, 273–282.

    Article  Google Scholar 

  • Arenhart, J. R. B., & Krause, D. (2014b). Why non-individuality? A discussion on individuality, identity, and cardinality in the quantum context. Erkenntnis, 79, 1–18.

    Article  Google Scholar 

  • Arenhart, J. R. B., & Krause, D. (2019a). Does identity hold a priori in standard quantum mechanics? In D. Aerts, et al. (Eds.), Probing the meaning of quantum mechanics. Singapore: World Scientific.

    Google Scholar 

  • Arenhart, J. R. B., & Krause, D. (2019b). Is Identity Really so Fundamental?. Foundations of Science, 24, 51–71.

    Article  Google Scholar 

  • de Barros, J. A., Holik, F., & Krause, D. (2017). Contextuality and indistinguishability. Entropy, 19(9), 435.

    Article  Google Scholar 

  • French, S., & Krause, D. (2006). Identity in physics: A historical, philosophical, and formal analysis. Oxford: Oxford University Press.

    Book  Google Scholar 

  • Krause, D. (1992). On a quasi-set theory. Notre Dame Journal of Formal Logic, 33(3), 402–411.

    Article  Google Scholar 

  • Krause, D. (2000). Remarks On quantum ontology. Synthese, 125, 155–167.

    Article  Google Scholar 

  • Krause, D. (2005). Structures and Structural Realism. Logic Journal of the IGPL, 13(1), 113–126.

    Article  Google Scholar 

  • Krause, D. (2010). Logical aspects of quantum (non-)individuality. Foundations of Science, 15, 79–94.

    Article  Google Scholar 

  • Krause, D. (2011). A calculus of non-individuals (ideas for a quantum mereology). In L. H. A. Dutra & A. M. Luz (Eds.), Rumos da Epistemologia: Linguagem, Ontologia e Ação (Vol. 10, pp. 92–106). Florianópolis: NEL/UFSC.

    Google Scholar 

  • Krause, D. (2017). Quantum mereology. In J. Seibt, G. Imaguire, & S. Gerogiorgakis (Eds.), Handbook of mereology. Berlin: Philosophia Verlag.

    Google Scholar 

  • Krause, D. (2019). Does Newtonian space provide identity to quantum systems?. Foundations of Science, 24, 197–215.

    Article  Google Scholar 

  • Krause, D. (2022). Models and modeling in science: The role of metamathematics. Principia, 26(1), 39–54.

    Article  Google Scholar 

  • Krause, D., & Arenhart, J. R. B. (2016). The logical foundations of scientific theories: Languages, structures, and models. Abingdon: Routledge.

    Book  Google Scholar 

  • Krause, D., Arenhart, J. R. B., & Bueno, O. (2022). The non-individuals interpretation of quantum mechanics. In O. Freire, Jr. (Ed.), The Oxford handbook of the history of quantum interpretations (pp. 1135–1154). New York: Oxford University Press.

    Google Scholar 

  • Krause, D., & Coelho, A. M. N. (2005). Identity, indiscernibility, and philosophical claims. Axiomathes, 15, 191–210.

    Article  Google Scholar 

  • Krause, D., & French, S. (1995). A formal framework for quantum non-individuality. Synthese, 102, 195–214.

    Article  Google Scholar 

  • Krause, D., & French, S. (2007). Quantum sortal predicates. Synthese, 154, 417–430.

    Article  Google Scholar 

  • Krause, D., Sant’ Anna, A. S., & Sartorelli, A. (2005). On the concept of identity in Zermelo-Fraenkel-like axioms and its relationship with quantum statistics. Logique et Analyse, 48(189/192), 231–260.

    Google Scholar 

  • Krause, D., Sant’ Anna, A. S., Volkov, A. G. (1999). Quasi-set theory for bosons and fermions: Quantum distributions. Foundations of Physics Letters, 125, 67–79.

    Google Scholar 

Download references

Acknowledgements

We thank all the authors for kindly—and promptly—accepting the invitation to contribute to this volume.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Arenhart, J.R.B., Arroyo, R.W. (2023). Introduction. In: Arenhart, J.R.B., Arroyo, R.W. (eds) Non-Reflexive Logics, Non-Individuals, and the Philosophy of Quantum Mechanics. Synthese Library, vol 476. Springer, Cham. https://doi.org/10.1007/978-3-031-31840-5_1

Download citation

Publish with us

Policies and ethics