├── README.md ├── bibliography.bib └── pdfs ├── A-path-from-logic-to-metaphysics-1990-typescript.pdf ├── A-path-from-logic-to-metaphysics-1991.pdf ├── About-Models-for-Intuitionistic-Type-Theories-and-the-notion-of-Definitional-Equality-1975.pdf ├── Algorithms-and-randomness-1969.pdf ├── An-Intuitionistic-Theory-of-Types-1972.pdf ├── An-Intuitionistic-Theory-of-Types-Predicative-Part-1975.pdf ├── Are-the-objects-of-propositional-attitudes-propositions-in-the-sense-of-propositional-and-predicate-logic-2003.pdf ├── Bibliopolis-Book-1984.pdf ├── Bibliopolis-Book-retypeset-1984.pdf ├── Complexity-Oscillations-in-Infinite-Binary-Sequences-1971.pdf ├── Constructive-mathematics-and-computer-programming-1979.pdf ├── Constructive-mathematics-and-computer-programming-1982.pdf ├── Definition-of-Random-Sequences-1966.pdf ├── Exact-tests-confidence-regions-and-estimates-1977.pdf ├── Hauptsatz-for-the-intuitionistic-theory-of-iterated-inductive-definitions-1971.pdf ├── Hilbert-Brouwer-Controversy-Resolved-2008.pdf ├── Infinite-terms-and-a-system-of-natural-deduction-1972.pdf ├── Martin-Lof-Analytic-and-Synthetic-Judgements-in-Type-Theory.pdf ├── Martin-Lof-Verificationism-Then-and-Now-2013.pdf ├── MartinLöf1979.pdf ├── Mathematics-of-Infinity.pdf ├── Meanings-of-the-Logical-Constants-1983.pdf ├── Note-to-Michael-Dummett-1976.pdf ├── Notes-on-The-Domain-Interpretation-of-Type-Theory-1983.pdf ├── One-hundred-years-of-Zermelo-s-axiom-of-choice-what-was-the-problem-with-it-2009.pdf ├── Reply-to-Sverdrups-Polemical-Article-Tests-without-Power-1975.pdf ├── Substitution-calculus-1992.pdf ├── Syntax-and-semantics-of-the-language-of-primitive-recursive-functions-1975.pdf ├── The-Notion-of-Redundancy-1974.pdf ├── The-logic-of-judgements-1987.pdf ├── The-logic-of-judgements-typeset-1987.pdf ├── Truth-and-Knowability-On-the-Principles-C-and-K-of-Michael-Dummett-1998.pdf ├── Truth-of-a-Proposition-Evidence-of-a-Judgment-1987.pdf ├── martin-loef1971 - A Theory of Types.pdf └── martin-loef1971 - A Theory of Types.pdf-permissions.png /README.md: -------------------------------------------------------------------------------- 1 | ## The collected works of Per Martin-Löf 2 | 3 | Please inform us of any inaccuracies or missing works. 4 | 5 | | Title | Date | 6 | |:------|:----:| 7 | |[Definition of Random Sequences](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Definition-of-Random-Sequences-1966.pdf)| 1966 | 8 | |[Algorithms and randomness](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Algorithms-and-randomness-1969.pdf) | 1969 | 9 | |Notes on constructive mathematics (Almqvist & Wiksell)| 1970 | 10 | |[A theory of types (Preprint, Stockholm University)](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/martin-loef1971%20-%20A%20Theory%20of%20Types.pdf)| 1971 | 11 | |[Hauptsatz for the intuitionistic theory of iterated inductive definitions](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Hauptsatz-for-the-intuitionistic-theory-of-iterated-inductive-definitions-1971.pdf)| 1971 | 12 | |[Complexity Oscillations in Infinite Binary Sequences](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Complexity-Oscillations-in-Infinite-Binary-Sequences-1971.pdf) | 1971 | 13 | |[Infinite terms and a system of natural deduction](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Infinite-terms-and-a-system-of-natural-deduction-1972.pdf)| 1972 | 14 | |[An Intuitionistic Theory of Types](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/An-Intuitionistic-Theory-of-Types-1972.pdf)| 1972 | 15 | |[The Notion of Redundancy and Its Use as a Quantitative Measure of the Discrepancy between a Statistical Hypothesis and a Set of Observational Data](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/The-Notion-of-Redundancy-1974.pdf) | 1974 | 16 | |[An Intuitionistic Theory of Types: Predicative Part](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/An-Intuitionistic-Theory-of-Types-Predicative-Part-1975.pdf) (Proceedings of the logic colloquium Bristol, July 1973) | 1975 | 17 | |[About Models for Intuitionistic Type Theories and the notion of Definitional Equality](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/About-Models-for-Intuitionistic-Type-Theories-and-the-notion-of-Definitional-Equality-1975.pdf)| 1975 | 18 | |[Syntax and semantics of the language of primitive recursive functions](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Syntax-and-semantics-of-the-language-of-primitive-recursive-functions-1975.pdf) (Preprint written with Peter Hancock)| 1975 | 19 | |[Reply to Sverdrups Polemical Article Tests without Power](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Reply-to-Sverdrups-Polemical-Article-Tests-without-Power-1975.pdf)| 1975 | 20 | |[A note to Michael Dummett](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Note-to-Michael-Dummett-1976.pdf)| 1976 | 21 | |[Exact tests, confidence regions and estimates](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Exact-tests-confidence-regions-and-estimates-1977.pdf) | 1977 | 22 | |[Constructive mathematics and computer programming](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Constructive-mathematics-and-computer-programming-1979.pdf) (Tech report)| 1979 | 23 | |[Constructive mathematics and computer programming (Version 2)](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/MartinLöf1979.pdf) (Tech report)| 1979 | 24 | |[Constructive mathematics and computer programming](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Constructive-mathematics-and-computer-programming-1982.pdf)| 1982 | 25 | |[On the Meanings of the Logical Constants and the Justification of Logical Laws](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Meanings-of-the-Logical-Constants-1983.pdf)| 1983 | 26 | |[Notes on The Domain Interpretation of Type Theory](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Notes-on-The-Domain-Interpretation-of-Type-Theory-1983.pdf)| 1983 | 27 | |[Intuitionistic Type Theory](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Bibliopolis-Book-1984.pdf) (Bibliopolis Book, notes by Giovanni Sambin of a series of lectures given in Padua, June 1980) [(Re-typeset and searchable version)](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Bibliopolis-Book-retypeset-1984.pdf)| 1984 | 28 | |[The logic of Judgements](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/The-logic-of-judgements-1987.pdf) | 1987 | 29 | |[The logic of Judgements (typeset)](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/The-logic-of-judgements-typeset-1987.pdf) | 1987 | 30 | |[Truth of a Proposition, Evidence of a Judgment, Validity of a Proof](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Truth-of-a-Proposition-Evidence-of-a-Judgment-1987.pdf)| 1987 | 31 | |Philosophical implications of type theory (Lectures given at the Facoltà di Lettere e Filosofia, Universitá degli Studi di Firenze, Florence, March 15th - May 15th, Privately circulated notes)| 1987 | 32 | |[Mathematics of Infinity](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Mathematics-of-Infinity.pdf)| 1990 | 33 | |[A path from logic to metaphysics (typescript)](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/A-path-from-logic-to-metaphysics-1990-typescript.pdf) | 1990 | 34 | |[A path from logic to metaphysics](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/A-path-from-logic-to-metaphysics-1991.pdf) | 1991 | 35 | |[Substitution calculus](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Substitution-calculus-1992.pdf) (Notes from a lecture given in Göteborg)| 1992 | 36 | |[Philosophical aspects of intuitionistic type theory*](https://pml.flu.cas.cz/uploads/PML-LeidenLectures93.pdf) (Series of talks given at Leiden, 23 September – 16 December 1993) | 1993 | 37 | |[Analytic and Synthetic Judgements in Type Theory](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Martin-Lof-Analytic-and-Synthetic-Judgements-in-Type-Theory.pdf)| 1994 | 38 | |[Truth and Knowability: On the Principles C and K of Michael Dummett](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Truth-and-Knowability-On-the-Principles-C-and-K-of-Michael-Dummett-1998.pdf)| 1998 | 39 | |[The sense/reference distinction in constructive semantics*](https://pml.flu.cas.cz/uploads/PML-Leiden25Aug01_BSL.pdf) (The Bulletin of Symbolic Logic, 27, 501-513, 2021) | 2001 | 40 | |[Husserl's correlation between formal logic and formal ontology*](https://pml.flu.cas.cz/uploads/PML-Bern17Jan02.pdf) (Talks given at Bern, 17 January) | 2002 | 41 | |[Are the objects of propositional attitudes propositions in the sense of propositional and predicate logic?](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Are-the-objects-of-propositional-attitudes-propositions-in-the-sense-of-propositional-and-predicate-logic-2003.pdf) | 2003 | 42 | |[Are the objects of propositional attitudes propositions in the sense of propositional and predicate logic?*](https://pml.flu.cas.cz/uploads/PML-Geneva19Dec03.pdf) (Talks given at Geneva, 19 December) | 2003 | 43 | |[Sets, types and categories*](https://pml.flu.cas.cz/uploads/PML-Leiden06Feb04.pdf) (Talks given at Leiden, 6 February) | 2004 | 44 | |Normalization by Evaluation and by the Method of Computability (Talk at JAIST, Kanazawa) | 2004 | 45 | |[Hilbert Brouwer Controversy Resolved?](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Hilbert-Brouwer-Controversy-Resolved-2008.pdf)| 2008 | 46 | |[One hundred years of Zermelo's axiom of choice. What was the problem with it?](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/One-hundred-years-of-Zermelo-s-axiom-of-choice-what-was-the-problem-with-it-2009.pdf)| 2009 | 47 | |[How did 'judgement' come to be a term of logic?*](https://pml.flu.cas.cz/uploads/PML-Paris14Oct11.pdf) (Talks given at Paris, 14 October) | 2011 | 48 | |[Verificationism Then and Now](https://raw.githubusercontent.com/michaelt/martin-lof/master/pdfs/Martin-Lof-Verificationism-Then-and-Now-2013.pdf)| 2013 | 49 | |[Truth of empirical propositions*](https://pml.flu.cas.cz/uploads/PML-Leiden04Feb14.pdf) (Talks given at Leiden, 4 February) | 2014 | 50 | |[Making sense of normalization by evaluation](http://wiki.portal.chalmers.se/cse/pmwiki.php/ProgLog/TypeTheoryAndFormalizationOfMathematics) (Talk given at a workshop on Type theory and formalization of mathematics in Gothenburg, December 11th) | 2014 | 51 | |[Is logic part of normative ethics?*](https://pml.flu.cas.cz/uploads/PML-Paris15May15.pdf) (Talks given at Paris, 15 May) | 2015 | 52 | |[The two interpretations of natural deduction: how do they fit together?*](https://pml.flu.cas.cz/uploads/PML-Leiden04Feb14.pdf) (Talks given at Tübingen, 28 November) | 2015 | 53 | |[Judgement and inference*](https://pml.flu.cas.cz/uploads/PML-Marseille01Jun16.pdf) (Talks given at Marseille, 1 June) | 2016 | 54 | |[Assertion and request*](https://pml.flu.cas.cz/uploads/PML-Stockholm14Aug17.pdf) (Talks given at Stockholm, 14 August) | 2017 | 55 | |[Assertion and request*](https://pml.flu.cas.cz/uploads/PML-Oslo29Aug17.pdf) (Talks given at Oslo, 29 August) | 2017 | 56 | |[Weyl's attempted mediation between intuitionism and formalism*](https://pml.flu.cas.cz/uploads/PML-Leeds12Sep18.pdf) (Talks given at Leeds, 12 September) | 2018 | 57 | |[Epistemic assumptions: are they assumed to be backwards vindicated or forwards vindicable?*](https://pml.flu.cas.cz/uploads/PML-Leiden06Sep19.pdf) (Leiden, 6 September) | 2019 | 58 | |[Logic and ethics*](https://pml.flu.cas.cz/uploads/PML-Hejnice27Jun19_LogicaYearbook.pdf) (Logica Yearbook 2019, I. Sedlár and M. Blicha (eds.). London: College Publications, 2020) | 2020 | 59 | |[Correctness of assertion and validity of inference*](https://pml.flu.cas.cz/uploads/PML-Stockholm26Oct22.pdf) (Stockholm, 26 October) | 2022 | 60 | 61 | *Originally published at the [Per Martin-Löf: Transcriptions](https://pml.flu.cas.cz/) website 62 | -------------------------------------------------------------------------------- /bibliography.bib: -------------------------------------------------------------------------------- 1 | @InProceedings{martinlof1971hauptsatz, 2 | Title = {Hauptsatz for the intuitionistic theory of iterated 3 | inductive definitions}, 4 | Author = {Martin-L{\"o}f, Per}, 5 | Booktitle = {Proceedings of the 2nd Scandinavian logic symposium}, 6 | Year = 1971, 7 | Editor = {Fenstad, Jan Erik}, 8 | Publisher = {North-Holland}, 9 | Series = {Studies in Logic and the Foundations of Mathematics}, 10 | Volume = {63}, 11 | Pages = {179 -- 216}, 12 | } 13 | 14 | @incollection{Martin-Lof-1972, 15 | Author = {Martin-L{\"o}f, Per}, 16 | Booktitle = {Twenty-five years of constructive type theory ({V}enice, 1995)}, 17 | Mrclass = {03B15 (03F55)}, 18 | Mrnumber = 1686864, 19 | Pages = {127--172}, 20 | Publisher = {Oxford University Press}, 21 | Editor = {Giovanni Sambin and Jan M. Smith}, 22 | Series = {Oxford Logic Guides}, 23 | Title = {An intuitionistic theory of types}, 24 | Volume = 36, 25 | Year = 1998} 26 | 27 | @incollection{Martin-Lof-1973, 28 | Author = {Martin-L{\"o}f, Per}, 29 | Booktitle = {Logic Colloquium '73, Proceedings of the Logic Colloquium}, 30 | Editor = {H.E. Rose and J.C. Shepherdson}, 31 | Mrclass = {02C15 (02D99)}, 32 | Mrnumber = {0387009 (52 \#7856)}, 33 | Mrreviewer = {Horst Luckhardt}, 34 | Pages = {73--118}, 35 | Publisher = {North-Holland}, 36 | Series = {Studies in Logic and the Foundations of Mathematics}, 37 | Title = {An intuitionistic theory of types: predicative part}, 38 | Volume = 80, 39 | Year = 1975} 40 | 41 | 42 | @TechReport{hml75, 43 | author = {Hancock, Peter and Martin-L\"{o}f, Per}, 44 | title = {Syntax and semantics of the language of primitive 45 | recursive functions}, 46 | institution = {University of Stockholm}, 47 | year = 1975, 48 | number = 3, 49 | address = {Stockholm, Sweden} 50 | } 51 | 52 | @incollection{Martin-Lof-1979, 53 | Author = {Martin-L{\"o}f, Per}, 54 | Booktitle = {Logic, Methodology and Philosophy of Science VI, Proceedings of the Sixth International Congress of Logic, Methodology and Philosophy of Science, Hannover 1979}, 55 | Editor = {L. Jonathan Cohen and Jerzy {Łoś} and Helmut Pfeiffer and Klaus-Peter Podewski}, 56 | Doi = {10.1016/S0049-237X(09)70189-2}, 57 | Mrclass = {03F50 (03B70 03F55 68Q45)}, 58 | Mrnumber = {682410 (85d:03112)}, 59 | Mrreviewer = {B. H. Mayoh}, 60 | Pages = {153--175}, 61 | Publisher = {North-Holland}, 62 | Series = {Studies in Logic and the Foundations of Mathematics}, 63 | Title = {Constructive mathematics and computer programming}, 64 | Url = {http://dx.doi.org/10.1016/S0049-237X(09)70189-2}, 65 | Volume = 104, 66 | Year = 1982} 67 | 68 | @book{martin-lof:bibliopolis, 69 | Author = {Martin-L{\"o}f, Per}, 70 | Isbn = {88-7088-105-9}, 71 | Mrclass = {03B15 (03F50 03F55)}, 72 | Mrnumber = {769301 (86j:03005)}, 73 | Mrreviewer = {M. M. Richter}, 74 | Pages = {iv+91}, 75 | Publisher = {Bibliopolis}, 76 | Series = {Studies in Proof Theory}, 77 | Subtitle = {Notes by Giovanni Sambin}, 78 | Title = {Intuitionistic type theory}, 79 | Volume = {1}, 80 | Year = {1984}} 81 | 82 | 83 | @article{martin2006100, 84 | Author = {Martin-L{\"o}f, Per}, 85 | Journal = {The Computer Journal}, 86 | Number = {3}, 87 | Pages = {345--350}, 88 | Publisher = {BCS}, 89 | Title = {100 years of {Z}ermelo's axiom of choice: what was the problem with it?}, 90 | Volume = {49}, 91 | Year = {2006}} 92 | 93 | @article{martin1996meanings, 94 | title={On the meanings of the logical constants and the justifications of the logical laws}, 95 | author={Martin-L{\"o}f, Per}, 96 | journal={Nordic journal of philosophical logic}, 97 | volume={1}, 98 | number={1}, 99 | pages={11--60}, 100 | year={1996} 101 | } 102 | 103 | @article{martin1987truth, 104 | title={Truth of a proposition, evidence of a judgement, validity of a proof}, 105 | author={Martin-L{\"o}f, Per}, 106 | journal={Synthese}, 107 | pages={407--420}, 108 | year={1987}, 109 | publisher={JSTOR} 110 | } 111 | 112 | @misc{martinlof1993leiden, 113 | author = "Per Martin-L{\"o}f", 114 | title = "Philosophical aspects of intuitionistic type theory", 115 | year={1993}, 116 | URL = {https://pml.flu.cas.cz/uploads/PML-LeidenLectures93.pdf}, 117 | note={Transcriptions of lectures given at Leiden University from 23 September to 16 December 1993}, 118 | } 119 | 120 | @article{martinlof2021sense, 121 | title = {The Sense/Reference Distinction in Constructive Semantics}, 122 | volume = {27}, 123 | pages = {501--513}, 124 | journal = {Bulletin of Symbolic Logic}, 125 | author = {Per Martin-L\"{o}f}, 126 | number = {4}, 127 | year = {2021}, 128 | note={Transcription of a talk given at Leiden University on 25 August, 2001}, 129 | URL = {https://doi.org/10.1017/bsl.2021.61}, 130 | } 131 | 132 | @incollection{martin2013verificationism, 133 | title={Verificationism then and now}, 134 | author={Martin-L{\"o}f, Per}, 135 | booktitle={Judgement and the Epistemic Foundation of Logic}, 136 | pages={3--14}, 137 | year={2013}, 138 | publisher={Springer} 139 | } 140 | 141 | @incollection{martin1994analytic, 142 | title={Analytic and synthetic judgements in type theory}, 143 | author={Martin-L{\"o}f, Per}, 144 | booktitle={Kant and contemporary epistemology}, 145 | pages={87--99}, 146 | year={1994}, 147 | publisher={Springer} 148 | } 149 | -------------------------------------------------------------------------------- /pdfs/A-path-from-logic-to-metaphysics-1990-typescript.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/michaelt/martin-lof/3b6155518ce877bbdf86a30fcc5cd6e4026d1f14/pdfs/A-path-from-logic-to-metaphysics-1990-typescript.pdf -------------------------------------------------------------------------------- /pdfs/A-path-from-logic-to-metaphysics-1991.pdf: 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