Tile Quotes (2 quotes)
Come, see the north-wind’s masonry, Out of an unseen quarry evermore Furnished with tile, the fierce artificer Curves his white bastions with projected roof Round every windward stake, or tree, or door. Speeding, the myriad-handed, his wild work So fanciful, so savage, naught cares he For number or proportion.
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There is a noble vision of the great Castle of Mathematics, towering somewhere in the Platonic World of Ideas, which we humbly and devotedly discover (rather than invent). The greatest mathematicians manage to grasp outlines of the Grand Design, but even those to whom only a pattern on a small kitchen tile is revealed, can be blissfully happy. … Mathematics is a proto-text whose existence is only postulated but which nevertheless underlies all corrupted and fragmentary copies we are bound to deal with. The identity of the writer of this proto-text (or of the builder of the Castle) is anybody’s guess. …
In 'Mathematical Knowledge: Internal, Social, and Cultural Aspects', Mathematics As Metaphor: Selected Essays (2007), 4.