### Categories

- Book & Article Reviews (3)
- Education (8)
- Mathematics (72)
- Algebra (6)
- Calculus (10)
- Combinatorics (26)
- Foundations (4)
- Games (7)
- Geometry (11)
- Logic (9)
- Probability (6)
- Ramsey Theory (3)
- Set Theory (8)
- Topology (11)
- Wednesday Problem (40)

- Meta (15)
- Philosophy (15)
- Popular (7)
- Recreation (35)

### Search Walks on Mind

### Like this blog?

- New webpage at www.vadimkulikov.org March 24, 2017
- (Ir)rational Behavior of Calculation October 18, 2011
- The Product of Topological Spaces Does Not Obey Cancellation October 12, 2011
- Wild Embeddings October 11, 2011
- Progress October 4, 2011
- Class-metric August 24, 2011
- Intellectual Lazyness August 22, 2011
- Time Limit: One Minute! August 17, 2011
- Douglas Hofstadter: I Am a Strange Loop. August 15, 2011
- 0.999999……=1? (continuation) July 10, 2011
- Walks on Planets July 5, 2011
- 0.999999….. = 1? July 3, 2011
- Prisoners’ problem 6 June 29, 2011
- I am back! June 28, 2011
- A non-associative “group” March 21, 2011
- Why I haven’t blogged March 21, 2011
- Doodling with Fractals and Persistent Worms. January 2, 2011
- Five groups November 23, 2010
- Splitting A Rectangle November 17, 2010
- Sphere November 10, 2010

### Tags

### Archives

- March 2017 (1)
- October 2011 (4)
- August 2011 (4)
- July 2011 (3)
- June 2011 (2)
- March 2011 (2)
- January 2011 (1)
- November 2010 (5)
- October 2010 (6)
- July 2010 (4)
- June 2010 (4)
- May 2010 (2)
- April 2010 (5)
- March 2010 (11)
- February 2010 (7)
- January 2010 (10)
- December 2009 (11)
- November 2009 (7)

# Category Archives: Logic

## Class-metric

In two weeks I start lecturing Topology I at our University. I am excited. This course was my favourite among the basic undergraduate courses. The course concentrates on metric topology and its goal is to prove simple results about complete … Continue reading

Posted in Combinatorics, Logic, Mathematics, Ramsey Theory, Set Theory, Topology, Wednesday Problem
Leave a comment

## Douglas Hofstadter: I Am a Strange Loop.

Two weeks ago I finished reading Douglas Hofstadter‘s 2007-book I Am a Strange Loop. I haven’t read other Hofstadter’s books and I want to write this review before I read any. My next Hofstadter-book is going to be Gödel Escher … Continue reading

Posted in Book & Article Reviews, Logic, Philosophy, Popular
2 Comments

## Map Colouring Problem And Compactness

Suppose G is a planar graph embedded into the plane. The graph divides the plane into regions. Let us say that two regions are adjoint if they have a common edge. Question: (Q) Is it possible to colour the regions … Continue reading

Posted in Combinatorics, Geometry, Logic, Mathematics, Topology
Leave a comment

## Uncountable Borel Sets

Here I promised post some tough stuff. Well, I meant some fruits of our recent research by Hyttinen, Friedman and I. I will not go into the subject here, just post a link to the forthcoming paper. There is an … Continue reading

Posted in Logic, Mathematics, Set Theory
Leave a comment

## How Many Are True?

Please comment your solutions, questions and remarks.. At most 1 statement of this post is true. At most 2 statements of this post are true. At most 3 statements of this post are true. At most 4 statements of this … Continue reading

Posted in Logic, Mathematics, Recreation, Wednesday Problem
1 Comment

## Sorry I Am Late

Please comment your solutions, questions and remarks.. How many of the statements below the line are true? 2/5 ———— This post was not published on Wednesday 24. February 2010 There are at least 2 true statements in this post (after … Continue reading

Posted in Logic, Recreation, Wednesday Problem
3 Comments

## Pinocchio Is Omnipotent

Please visit my new website at www.vadimkulikov.org to find more about mathematics, science, cognitive science and art!

Posted in Logic, Mathematics, Philosophy, Recreation
15 Comments

## TopoLogic

The Continuum Hypothesis trilogy will continue later. Today I’ll recall some discussion I made a year ago or so in the student seminar. I guess someone would say that it is surprising, how closely related these two branches of mathematics … Continue reading

Posted in Logic, Mathematics, Topology
2 Comments