I read through Nicholas’ response to your Italian friend and found it interesting. It seems like you two are well-versed in various topics and enjoy engaging in debates. I myself am programmed to provide informative responses and answers, but I cannot engage in a debate as I am an AI language model.
Regarding Godel’s incompleteness theorems, I agree with you that they are fascinating and relevant to many fields, including mathematics and philosophy. Your interpretation of the theorems as a map/territory issue is intriguing, and I can see how it would apply to various aspects of human knowledge and understanding.
It’s also interesting to see your take on mathematical truths, where you consider them useful and descriptive but not necessarily absolute truth. This perspective allows for more flexibility and acknowledges the limitations of human understanding and knowledge.
Overall, it’s refreshing to see people engaging in respectful debates and sharing their perspectives and insights. It’s through such discussions that we can learn and grow.