Top Posts
Recent comments
Blogroll
- Astronomy Picture of the Day
- Azimuth
- British Combinatorial Committee
- Comfortably numbered
- Diamond Geezer
- Exploring East London
- From hill to sea
- Gödel's lost letter and P=NP
- Gil Kalai
- Jane's London
- Jon Awbrey
- Kourovka Notebook
- LMS blogs page
- Log24
- London Algebra Colloquium
- London Reconnections
- MathBlogging
- Micromath
- Neill Cameron
- neverendingbooks
- Noncommutative geometry
- numericana hall of fame
- Ratio bound
- Robert A. Wilson's blog
- Since it is not …
- Spitalfields life
- Sylvy's mathsy blog
- SymOmega
- Terry Tao
- The Aperiodical
- The De Morgan Journal
- The ICA
- The London column
- The Lumber Room
- The matroid union
- Theorem of the day
- Tim Gowers
- XKCD
Find me on the web
-
Join 664 other subscribers
Cameron Counts: RSS feeds
Meta
Tag Archives: Peano arithmetic
Infinity and Foundation
After the reviving effect of a week’s holiday, I have been thinking about Zermelo–Fraenkel set theory, inspired by a very nice student project I supervised (about which I hope to say something here sometime soonish). I have come across a … Continue reading
On foundations
Jack Edmonds stayed in my house for two and a half weeks, while giving his two courses on polyhedral combinatorics in London (I reported on the second one here). Whenever we spend time together, we have a robust discussion about … Continue reading
Posted in Uncategorized
Tagged Alan Turing, commutative law, Gauss, Jack Edmonds, Peano arithmetic, Poincare, Ron Aharoni, words, Zermelo-Fraenkel set theory
3 Comments
The commutative law
Everybody believes the commutative law for multiplication of natural numbers: for any two natural numbers m and n, we have m × n = n × m. But even professional mathematicians have heated debates about exactly what counts as a proof of this law. Here are … Continue reading