Reading crossword

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Across
  1. 1. message appearing in random-looking blobs drawn by 27a
  2. 2. of a number, not 12d
  3. 5. one of 27a's pair in the chapter's title
  4. 10. work by 16a referenced by 27a in the chapter but not shown in it
  5. 13. part of a titular trio with 18a and 16a
  6. 15. like the rule of the pq-system, for example
  7. 16. part of a titular trio with 18a and 13a
  8. 17. (see 31a and 19a)
  9. 18. part of a titular trio with 16a and 13a
  10. 19. with 17a, the white on this page around the cells, for example
  11. 21. what can't be derived; there's no "table" of these
  12. 22. writing form used by 27a and Plato
  13. 25. he answers the call of 11d in the 22a by 27a that we read
  14. 27. the author himself
  15. 30. along with p and q, a symbol in the pq-system
  16. 31. with 17a, the cells on this page, for example
Down
  1. 1. work by 16a featuring interlocking animals and a 23d
  2. 3. the degenerate solution of 25a's puzzle, twice
  3. 4. word that includes "adac", but not in that order
  4. 6. like a violin in a sonata by 13a
  5. 7. tiling fodder in a work by 16a
  6. 8. unity
  7. 9. formal entity investigated by 27a in the chapter
  8. 11. he calls 25a in the 22a by 27a that we read
  9. 12. of a number, only divisible by itself and 8d
  10. 14. with 29d, of a drawing, having its 26d not be a 5a as well
  11. 20. word that includes "adac", in that order
  12. 23. instrument that pops up in the assigned 22a as well as 1d
  13. 24. of a drawing, having its 26d be a 5a as well
  14. 26. one of 27a's pair in the chapter's title
  15. 28. the next number in the sequence 1, 3, 7, 12, 18...
  16. 29. with 14d, of a drawing, having its 26d not be a 5a as well