[TYPES] Consistency of Quine’s New Foundations

Gabbay, Jamie M.Gabbay at hw.ac.uk
Tue Jul 11 13:23:43 EDT 2023


Dear colleagues,

I am pleased to offer a claimed proof of the consistency of Quine's NF:
https://urldefense.com/v3/__https://arxiv.org/pdf/1406.4060.pdf__;!!IBzWLUs!XwlJVsGrLJIb_jH4H0BhMjxwtaMa7jL-7vZlhcqZRySAdz5WvfLcnCYGD9HMYmo0VpZ7HJLfWEW0EPJ2pm5xkrM0wxyRubA$ 
My colleague Marko Doko, who has worked on NFU, has read through it and believes it to be correct.  I welcome feedback from others who may be interested in this problem.

I have made this paper as accessible as I can, and included plenty of examples and exposition.  The argument itself is fairly elementary, requiring just some basic set theory and model theory.

If you have comments or questions then please do not hesitate to reply here or be in touch directly.

Best regards,
Murdoch Gabbay

________________________________

Founded in 1821, Heriot-Watt is a leader in ideas and solutions. With campuses and students across the entire globe we span the world, delivering innovation and educational excellence in business, engineering, design and the physical, social and life sciences. This email is generated from the Heriot-Watt University Group, which includes:

  1.  Heriot-Watt University, a Scottish charity registered under number SC000278
  2.  Heriot- Watt Services Limited (Oriam), Scotland's national performance centre for sport. Heriot-Watt Services Limited is a private limited company registered is Scotland with registered number SC271030 and registered office at Research & Enterprise Services Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS.

The contents (including any attachments) are confidential. If you are not the intended recipient of this e-mail, any disclosure, copying, distribution or use of its contents is strictly prohibited, and you should please notify the sender immediately and then delete it (including any attachments) from your system.


More information about the Types-list mailing list