User:Boris Tsirelson/Sandbox1: Difference between revisions

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* "Use ... and one obtains" -> "Using ... one obtains" : no change of the meaning;
* "Use ... and one obtains" -> "Using ... one obtains" : no change of the meaning;
* <math>\equiv</math> -> <math>:=</math> (and two similar cases): no change of the meaning;
* <math>\equiv</math> -> <math>:=</math> (and two similar cases): no change of the meaning;
* A -> Q (in formulas) :
* &#x1D538; -> '''Q''' (in formulas): no change of the meaning, just a better notation for the same matrix;
* matrix &#x1D538; -> matrix '''Q''' :
* "it was used that" -> "this uses" : no change of the meaning;
* "it was used that" -> "this uses" : no change of the meaning;
* <math>\mathbb{R}</math> -> <math>\mathbf{R}</math> : no change of the meaning;
* <math>\mathbb{R}</math> -> <math>\mathbf{R}</math> : no change of the meaning;

Revision as of 12:45, 10 July 2010

  • "Use ... and one obtains" -> "Using ... one obtains" : no change of the meaning;
  • -> (and two similar cases): no change of the meaning;
  • 𝔸 -> Q (in formulas): no change of the meaning, just a better notation for the same matrix;
  • "it was used that" -> "this uses" : no change of the meaning;
  • ->  : no change of the meaning;
  • "blue line" -> "blue-red line" : no change of the meaning;


I have always felt that, if one day someone came up with a contradiction in mathematics, I would just say, "Well, those crazy logicians are at it again," and go about my business as I was going the day before.[1]

  1. Vaughan Jones. See Casacuberta & Castellet 1992, page 91.

References

Feynman, Richard (1995), The character of physical law (twenty second printing ed.), the MIT press, ISBN 0 262 56003 8.

Gowers, Timothy, ed. (2008), The Princeton companion to mathematics, Princeton University Press, ISBN 978-0-691-11880-2.

Mathias, Adrian (2002), "A term of length 4,523,659,424,929", Synthese 133 (1/2): 75–86. (Also here.)

Casacuberta, C & M Castellet, eds. (1992), Mathematical research today and tomorrow: Viewpoints of seven Fields medalists, Lecture Notes in Mathematics, vol. 1525, Springer-Verlag, ISBN 3-540-56011-4.