Reformulation Quotes
All Dickens is packed with orphans or people in uncertain relation to family groups, or clubs. It's impossible to read anything he wrote without feeling that the question of belonging was a major issue for him. He had to write about these matters. If we read Lovecraft's science-fiction horror stories, weird and unpleasant as they may be, they are all obsessively about fear of otherness-women's, people of other races', aliens'. All the over-heated horror of the books arises from this gut fear. He can't leave it alone. Whether or not we like the books and quite regardless of any verisimilitude, it's clear that the author is writing directly from his personal concerns. The stuff wasn't just constructed for a literary prize. A certain form of repetition, particularly the endless reformulation, in dozens of different guises, of the same core conflict is probably the hallmark of authenticity.
Tim Parks
Humanity takes a long time to understand its relation to its structures of discourse and sociability. People have usually mistaken the forms of inquiry and discourse, exchange and community, to which they are accustomed for flawed approximations to the true face of reason or society. More often than not, they have cast this prejudice aside only to replace it with a more modest, halfhearted reformulation of the same belief.
Roberto Mangabeira Unger
The implications of Descartes' analytic reformulation of geometry are obvious. Not only did the new method make possible a systematic investigation of known curves, but, what is of infinitely greater significance, it potentially created a whole universe of geometric forms beyond conception by the synthetic method.
Descartes also saw that his method applies equally as well to surfaces... but he did not develop this. With the extension to surfaces, there was no reason why geometry should stop with equations in three variables; and the generalization to systems of equations in any finite number of variables was readily made in the nineteenth century. Finally, in the twentieth century, the farthest extension possible in this direction led to spaces of a non-denumerable infinity of dimensions. ...The path from Descartes to the creators of higher space is straight and clear; the remarkable thing is that it was not traveled earlier than it was.
René Descartes
