Changes

==Transformations of Discourse==

==Transformations of Discourse==

<p>It is understandable that an engineer should be completely absorbed in his speciality, instead of pouring himself out into the freedom and vastness of the world of thought, even though his machines are being sent off to the ends of the earth;  for he no more needs to be capable of applying to his own personal soul what is daring and new in the soul of his subject than a machine is in fact capable of applying to itself the differential calculus on which it is based.  The same thing cannot, however, be said about mathematics;  for here we have the new method of thought, pure intellect, the very well-spring of the times, the ''fons et origo'' of an unfathomable transformation.</p>

 

<p>Robert Musil, ''The Man Without Qualities'', [Mus, 39]</p>

It is understandable that an engineer should be completely absorbed in his speciality, instead of pouring himself out into the freedom and vastness of the world of thought, even though his machines are being sent off to the ends of the earth;  for he no more needs to be capable of applying to his own personal soul what is daring and new in the soul of his subject than a machine is in fact capable of applying to itself the differential calculus on which it is based.  The same thing cannot, however, be said about mathematics;  for here we have the new method of thought, pure intellect, the very well-spring of the times, the ''fons et origo'' of an unfathomable transformation.

| align="right" colspan="3" | &mdash; Robert Musil, ''The Man Without Qualities'', [Mus, 39]

===Foreshadowing Transformations : Extensions and Projections of Discourse===

===Foreshadowing Transformations : Extensions and Projections of Discourse===

<p>And, despite the care which she took to look behind her at every moment, she failed to see a shadow which followed her like her own shadow, which stopped when she stopped, which started again when she did, and which made no more noise than a well-conducted shadow should.</p>

 

<p>Gaston Leroux, ''The Phantom of the Opera'', [Ler, 126]</p>

And, despite the care which she took to look behind her at every moment, she failed to see a shadow which followed her like her own shadow, which stopped when she stopped, which started again when she did, and which made no more noise than a well-conducted shadow should.

| align="right" colspan="3" | &mdash; Gaston Leroux, ''The Phantom of the Opera'', [Ler, 126]

====Extension from 1 to 2 Dimensions====

====Extension from 1 to 2 Dimensions====