Proof Theory and Philosophy: book manuscript in progress.

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You are welcome to download and read this document. I especially welcome feedback on it. As it is not yet published in final form, if you want to cite the paper, please check with me first. Thanks.

This is my next book-length writing project. I am writing a book which aims to do these things:

  1. Be a useable textbook in philosophical logic, accessible to someone who’s done only an intro course in logic, covering at least some model theory and proof theory of propositional logic, and maybe predicate logic.
  2. Be a user-friendly, pedagogically useful and philosophically motivated presentation of cut-elimination, normalisation and conservative extension, both (a) why they’re important to meaning theory and (b) how to actually prove them. (I don’t think there are any books like this available, but I’d be happy to be shown wrong.)
  3. Present the duality between model theory and proof theory in a philosophically illuminating fashion.
  4. Teach both formal philosophical logic in such a way that is not doctrinaire or logically partisan. That is, I will not argue that classical logic, or that intuitionistic logic, or that My Favourite Logic is the One True Logic. (Of course, hearing me say this is not a surprise.)
  5. I am (at this stage, at least) planning to make the book available for download as well as published by an academic publisher.

The first couple of chapters are now available here: pdf with hyperlinks.

Do you like this, or have a comment? (I especially value feedback on work which is yet to be be published in final form.) If you do, please  share or reply on Twitter, or  email me.

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I’m Greg Restall, and this is my personal website. I teach philosophy and logic as Professor of Philosophy at the University of Melbourne. ¶ Start at the home page of this site—a compendium of recent additions around here—and go from there to learn more about who I am and what I do. ¶ This is my personal site on the web. Nothing here is in any way endorsed by the University of Melbourne.



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