Skip to main content

Propositions and Judgements in Martin-Löf

  • Chapter
  • First Online:
Intuitionistic Proof Versus Classical Truth

Part of the book series: Logic, Epistemology, and the Unity of Science ((LEUS,volume 42))

Abstract

It is considered Martin-Löf’s distinction between propositions and judgements. It is argued that propositions can be regarded as the only fundamental entities of logic, since all mathematical activity may be analysed in terms of the creation and demonstration of propositions.

with G. Usberti

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

References

  • Brouwer, L. (1975). Collected works. In A. Heyting (Ed.), Philosophy and foundations of mathematics. Amsterdam: Elsevier.

    Google Scholar 

  • Dummett, M. (1981). The interpretation of Frege’s philosophy. London: Duckworth.

    Google Scholar 

  • Frege, G. (1980). Philosophical and mathematical correspondence. Oxford: Blackwell.

    Google Scholar 

  • Frege, G. (1984). Collected papers in mathematics. Blackwell: Logic and Philosophy.

    Google Scholar 

  • Martin-Löf, P. (1985). On the meaning and justification of logical laws. In E. Bernardi & R. Pagli (Eds.), Atti degli Incontri di Logica Matematica (Vol. II, pp. 291–340). Siena: Università di Siena.

    Google Scholar 

  • Martin-Löf, P. (1987). Truth of a proposition, evidence of a judgement, validity of a proof. Synthese, 73, 407–420.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Enrico Martino .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Martino, E. (2018). Propositions and Judgements in Martin-Löf. In: Intuitionistic Proof Versus Classical Truth. Logic, Epistemology, and the Unity of Science, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-319-74357-8_9

Download citation

Publish with us

Policies and ethics