Sent from my iPhone On 7 May 2020, at 20:43, Martín Hötzel Escardó wrote:  The meanings of "equal" and "identical" are the same. They both mean "same", and are equivalent to "equivalent" according to most dictionaries. I know. My point was rather that there is no need to replace equality/identity by another word, eg identification to suggest that equality in HoTT is anything fundamentally different. My impression is that some people think that equality in HoTT is something different to true equality as it occurs in nature. Try not to be too judgmental, Thorsten. What do you mean? Maybe you shouldn’t jump to conclusions what you think I mean too quickly, Martin. Thorsten Best, Martin On Monday, 4 May 2020 10:35:53 UTC+1, Thorsten Altenkirch wrote: I am just reading a paper which uses the word “Identification” instead of equality. I think this has been proposed by Bob Harper. Can anybody enlighten me what is the difference between identifications and equality? Maybe there is an identification between them but they are not equal? Are the real numbers 0.999… identified or are they equal? Thorsten This message and any attachment are intended solely for the addressee and may contain confidential information. If you have received this message in error, please contact the sender and delete the email and attachment. Any views or opinions expressed by the author of this email do not necessarily reflect the views of the University of Nottingham. Email communications with the University of Nottingham may be monitored where permitted by law. -- You received this message because you are subscribed to the Google Groups "Homotopy Type Theory" group. To unsubscribe from this group and stop receiving emails from it, send an email to HomotopyT...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/HomotopyTypeTheory/994babd9-6067-41a1-b12a-17c149138fdb%40googlegroups.com. This message and any attachment are intended solely for the addressee and may contain confidential information. If you have received this message in error, please contact the sender and delete the email and attachment. Any views or opinions expressed by the author of this email do not necessarily reflect the views of the University of Nottingham. Email communications with the University of Nottingham may be monitored where permitted by law.