
Recent Posts
Archives
 February 2019
 November 2018
 March 2018
 March 2016
 February 2016
 January 2016
 October 2015
 September 2015
 August 2015
 July 2015
 June 2015
 May 2015
 March 2015
 February 2015
 November 2013
 September 2013
 July 2013
 June 2013
 April 2013
 March 2013
 January 2013
 November 2012
 October 2012
 July 2012
 June 2012
 May 2012
 April 2012
 March 2012
 February 2012
 January 2012
 December 2011
 November 2011
 October 2011
 September 2011
 August 2011
 July 2011
 June 2011
 May 2011
 April 2011
 March 2011
 February 2011
 January 2011
 December 2010
 November 2010
 October 2010
 September 2010
 August 2010
 July 2010
Categories
Meta
Tag Archives: ∞
Measure: Sizing up the Continuum
For those not in the know, here’s what mathematicians mean by the word “measurable”: The problem of measure is to assign a size ≥ 0 to a subset of ℝ. In other words, to answer the question: How big is that? Like, how big … Continue reading
Posted in Uncategorized
Tagged axiom of choice, ℝ, ∞, big, continuum, Dedekind cut, functionals, G. H. Meisters, Henri Lebesgue, infinite, infinity, math, mathematics, maths, measure, measure theory, real numbers, Richard Dedekind, set function, set theory, size, the continuum
Leave a comment
Do numbers exist?
When I was a math teacher some curious students (Fez and Andrew) asked, “Does i, √−1, exist? Does infinity ∞ exist?” I told this story. You explain to me what 4 is by pointing to four rocks on the ground, … Continue reading
Posted in Uncategorized
Tagged ℝ, √−1, ∞, complex numbers, education, equivalence class, equivalence classes, i, imaginary numbers, math, mathematics, maths, philosophy, science, why, Willard van Orman Quine
Leave a comment
Math Infinity
Conceiving of ∞ as a mathematician is simple. You start counting, and don’t stop. That’s all. ($i++ for programmers) Which is why ∞ seems very small to the mind of a mathematician. With projective geometry you can map ℝ to … Continue reading
Posted in Uncategorized
Tagged ℝ, ∞, education, generalised number, generalised numbers, Georg Cantor, Giuseppe Peano, imagination, infinity, iuseppe Peano, math, mathematics, maths, mental space, number, projective geometry, real numbers, science
Leave a comment
Religious Infinity
When I was young, I used to — as an exercise — try to conceive of ∞. We would hear in Sunday School that God is Infinite, that you can’t comprehend God’s Infiniteness. I would imagine myself in a spaceship … Continue reading
Posted in Uncategorized
Tagged ∞, c, generalised number, generalised numbers, God, imagination, infinity, light speed, math, mathematics, maths, meditation, mind, number, physics, recursive, religion, special relativity, stereographic projection
Leave a comment