/explore
|
You are here 
|
blog.computationalcomplexity.org | ||
| | | | |
math.andrej.com
[AI summary] The discussion revolves around the interpretation of inductive types and their elements in type theory, particularly focusing on the concept of 'reachability' through constructors. The key points include: 1) The idea that inductive types may have elements that are not reachable by constructor application, which is a non-absolute property. 2) The distinction between internal and external perspectives in models, where the 'standard' natural numbers (N) in a model may differ from the meta-theoretical N. 3) The role of exotic models in highlighting the non-absoluteness of inductive types and their elements. 4) The importance of recognizing that inductive types are not freely generated, as seen in identity types, and the challenges of defining genera... |
|
| | | | | ||
| | | | |
ianwrightsite.wordpress.com
Are Cantor's higher infinities really real? |
|
| | | | | ||
| | | | |
aeon.co
Some have thought that logic will one day be completed and all its problems solved. Now we know it is an endless task |
|
| | | | | ||
| | | | |
bartoszmilewski.com
This is part 12 of Categories for Programmers. Previously: Declarative Programming. See the Table of Contents. It seems like in category theory everything is related to everything and everything can be viewed from many angles. Take for instance the universal construction of the product. Now that we know more about functors and natural transformations, can... |
|
| | | |||
