Explore >> Select a destination
|
You are here 
|
4gravitons.com | ||
| | | | |
jdh.hamkins.org
|
|
| | | | | This will be a series of self-contained lectures on the philosophy of mathematics, given at Oxford University in Michaelmas term 2019. We will be meeting in the Radcliffe Humanities Lecture Room at | |
| | | | |
math.andrej.com
|
|
| | | | | [AI summary] A blog post discusses Paul Taylor's lambda calculus approach to real analysis, highlighting its logical structure and computational implications for understanding topology and continuity. | |
| | | | |
profmattstrassler.com
|
|
| | | | | Today I continue withmy series of postson fields, strings and predictions. During the 1980s, as I discussed in the previous post in this series, string theorists learned that of all the possible string theories that one could imagine, there were only five that were mathematically consistent. What they learned in the first half of the... | |
| | | | |
math.andrej.com
|
|
| | | [AI summary] The discussion revolves around the philosophical and methodological pluralism in mathematics, emphasizing that mathematics is a human-made construct with historical developments rather than an absolute, universal truth. Key points include the idea that different mathematical frameworks (e.g., classical vs. intuitionistic logic, paraconsistent logic) represent distinct 'worlds' of mathematics, each with its own standards and validity. The conversation highlights the importance of acknowledging these pluralistic perspectives without assuming a single, unifying foundation. It also touches on the role of context, the evolution of mathematical concepts, and the implications of relativism for the future of mathematics. The discussion underscores that ... | ||
