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Modal homotopy type theory


modal homotopy type theory in nLab

2. Definitions · an induction principle of type · a computation rule · a witness that for any x , y : LA x, y : LA , the modal unit ( − ) L : ( ...

Modal Homotopy Type Theory - David Corfield

David Corfield · The first book-length philosophical treatment of homotopy type theory, and its modal variants · With applications in language, metaphysics and ...

Modal Homotopy Type Theory

Propositions constitute a kind of type, as do sets. David Corfield (University of Kent). Modal Homotopy Type Theory. 25 January, 2021. 3 ...

Modal Homotopy Type Theory : The Prospect of a New Logic ... - eBay

"The old logic put thought in fetters, while the new logic gives it wings.". Homotopy type theory has recently been developed as a new foundational language ...

Modal Homotopy Type Theory: The Prospect of a New Logic for ...

This book proposes a comparable revolution with a newly emerging logic, modal homotopy type theory.

Chapter IV: Modal homotopy type theory - PhilSci-Archive

We now proceed to take the final step in our journey towards modal homotopy type theory. Analytic philosophers have put modal logic to ...

Modal Homotopy Type Theory - The Book | The n-Category Café

This book marks a shift in strategy in making the case not only for the philosophy of mathematics, but also for metaphysics and the philosophy of language.

Modal Homotopy Type Theory. The Prospect of a New Logic for ...

Modal homotopy type theory, a field that uses modal dependent type theories to formalise arguments in areas of geometry related to homotopy ...

Modal Homotopy Type Theory: The Prospect of a New Logic for ...

In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory. Homotopy type theory ...

Modal Homotopy Type Theory: The Prospect of a New Logic…

In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory. Homotopy type theory ...

Modal homotopy type theory - Semantic Scholar

Why homotopy types? Why add modalities? David Corfield (Philosophy, Kent). Modal homotopy type theory. 6 ...

Modal Homotopy Type Theory. The Prospect of a New Logic for ...

Early efforts in modal homotopy type theory (Univalent Foundations Program 2013) extended the operation of j to dependent types. The ambitions of modal homotopy ...

Differential Geometry in Modal HoTT - Homotopy Type Theory

A differential cohesive topos is a topos with some extra structure given by three monads and three comonads with some nice properties and ...

Geometry in Modal Homotopy Type Theory - CMU-HoTT.github.io

Geometry in Modal Homotopy Type Theory ... Homotopy Type Theory (HoTT) is one of the tools to reason within a higher topos. The recent extensions ...

The Prospect of a New Logic for Philosophy - PhilPapers

Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy provides a reasonably gentle introduction to this new logic, thoroughly motivated by ...

[1806.05966] Cartan Geometry in Modal Homotopy Type Theory

Abstract page for arXiv paper 1806.05966: Cartan Geometry in Modal Homotopy Type Theory.

Modal Homotopy Type Theory: The Prospect of a New Logic for ...

In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory. Homotopy type theory has recently ...

David Corfield publishes on Modal Homotopy Type Theory

Homotopy type theory has recently been developed as a new foundational language for mathematics, with a strong philosophical pedigree. In this ...

Modal Homotopy Type Theory | 9780198853404, 9780192595034

Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy is written by David Corfield and published by OUP Oxford. The Digital and eTextbook ...

Modern Physics Formalized in Modal Homotopy Type Theory by Urs ...

Talk at: FOMUS 2016. For all Talks and more information, slides etc. see: http://fomus.weebly.com/ Modern Physics Formalized in Modal ...