Bibliography

Peer-Reviewed Papers

peer-reviewed

1. Witztum, D., Rips, E., Rosenberg, Y. (1994). “Equidistant Letter Sequences in the Book of Genesis.” Statistical Science 9(3), 429–438.
   Project Euclid → · cited on Statistical Methodology §02
2. McKay, B., Bar-Natan, D., Bar-Hillel, M., Kalai, G. (1999). “Solving the Bible Code Puzzle.” Statistical Science 14(2), 150–173. DOI: 10.1214/ss/1009212243.
   Project Euclid PDF → · Author mirror → · cited on Statistical Methodology §02
3. Bar-Hillel, M., Bar-Natan, D., McKay, B. (1998). “The Torah Codes: Puzzle and Solution.” Chance 11, 13–19. · cited on Statistical Methodology §02
4. Aldana, G. (2016). “Discovering Discovery: Chich’en Itza, the Dresden Codex Venus Table and 10th Century Mayan Astronomical Innovation.” Journal of Astronomy in Culture 1(1). · cited on Maya Numerics §04
5. Malmström, V. (1973). “Origin of the Mesoamerican 260-Day Calendar.” Science 181, 939–941. · cited on Maya Numerics §03
6. Glaz, S. (2021). “Mathematics in the Poetry of Sefer Yetzirah.” Bridges Conference Proceedings.
   archive.bridgesmathart.org → · cited on Sefer Yetzirah §03 and §04
7. Friberg, J. (2014). “Seven-sided star figures and tuning algorithms in Mesopotamian, Greek, and Islamic texts.” arXiv:1407.6246.
   arXiv → · cited on Sacred Numbers references
8. Fuls, A. (2013). “The Mayan Long Count Calendar.” arXiv:1312.1456.
   arXiv → · cited on Maya Numerics references
9. Steele, J. M. (2020). “Rising time schemes in Babylonian astronomy.” Journal for the History of Astronomy. DOI: 10.1177/0021828620980544.
10. Bauckham, R. (1990). “The Number of the Beast.” New Testament Studies. · cited on Numeral Systems §Isopsephy
11. Simmons, J., Nelson, L., Simonsohn, U. (2011). “False-Positive Psychology.” Psychological Science 22(11), 1359–1366. · cited on Statistical Methodology references
12. Gross, E., Vitells, O. (2010). “Trial factors for the look elsewhere effect in high energy physics.” European Physical Journal C 70, 525–530. · cited on Statistical Methodology references

Academic Monographs & Standard References

academic

1. Bricker, H. M. & Bricker, V. R. Astronomy in the Maya Codices. American Philosophical Society, 2011. — The definitive reference on the Maya astronomical tables.
2. Aveni, A. Skywatchers of Ancient Mexico. Univ. of Texas Press, 2001. — Mesoamerican archaeoastronomy.
3. Thompson, J. E. S. Maya Hieroglyphic Writing. Carnegie Institution, 1950. — Foundational on the Long Count and the GMT correlation.
4. Martin, S. & Grube, N. Chronicle of the Maya Kings and Queens. Thames & Hudson, 2008.
5. Closs, M. P. (ed.). Native American Mathematics. Univ. of Texas Press, 1986.
6. Townsend, R. F. The Aztecs. Thames & Hudson, 2009 (3rd ed.). — Standard one-volume reference on Mexica civilisation.
7. Matos Moctezuma, E. & Solís, F. The Aztec Calendar and Other Solar Monuments. INAH, 2004. — Definitive Sun Stone reinterpretation.
8. Caso, A. Los calendarios prehispánicos. UNAM, 1967. — Source for the standard correlation constants used in calendar conversion engines.
9. Burkert, W. Lore and Science in Ancient Pythagoreanism. Harvard University Press, 1972. — The standard scholarly reference on Pythagoreanism.
10. Huffman, C. A. “Pythagoras” & “Pythagoreanism.” Stanford Encyclopedia of Philosophy. SEP →
11. Adam, J. The Republic of Plato, vol. 2. Cambridge University Press, 1902. — Source for the 12,960,000 nuptial-number reconstruction.
12. Kahn, C. H. Pythagoras and the Pythagoreans: A Brief History. Hackett, 2001.
13. Heath, T. L. A History of Greek Mathematics, 2 vols. Oxford University Press, 1921.
14. Simek, R. Dictionary of Northern Mythology. D. S. Brewer, 2007.
15. Düwel, K. Runenkunde. Metzler, 2008 (4th ed.).
16. Spurkland, T. Norwegian Runes and Runic Inscriptions. Boydell, 2005.
17. Page, R. I. Runes. British Museum Press, 1987.
18. Kaplan, A. Sefer Yetzirah: The Book of Creation in Theory and Practice. Weiser, 1997. — Standard accessible English edition.
19. Hayman, A. P. Sefer Yes·ira: Edition, Translation and Text-Critical Commentary. Mohr Siebeck, 2004. — Standard critical edition.
20. Scholem, G. Kabbalah. Meridian, 1978. — Authoritative on Sefer Yetzirah in Jewish mystical tradition.
21. Idel, M. Golem: Jewish Magical and Mystical Traditions on the Artificial Anthropoid. SUNY, 1990.
22. Ifrah, G. The Universal History of Numbers. Wiley, 2000. — Comprehensive history of numeral systems worldwide.
23. Chrisomalis, S. Numerical Notation: A Comparative History. Cambridge UP, 2010.
24. Menninger, K. Number Words and Number Symbols: A Cultural History of Numbers. MIT Press, 1969.
25. Dornseiff, F. Das Alphabet in Mystik und Magie. Teubner, 1925. — Classical study of Greek letter-mysticism.
26. Sarma, K. V. A History of the Kerala School of Hindu Astronomy. Hoshiarpur, 1972.
27. Plofker, K. Mathematics in India. Princeton UP, 2009.
28. Wilhelm, R. (trans.). The I Ching, or Book of Changes. Princeton UP, 1950.
29. Ryan, J. A. “Leibniz’s Binary System and Shao Yong’s Yijing.” Philosophy East and West 46.1, 1996.
30. Ullendorff, E. The Ethiopians. Oxford UP, 1973.
31. Bascom, W. Ifa Divination: Communication between Gods and Men in West Africa. Indiana UP, 1969.
32. Eglash, R. African Fractals: Modern Computing and Indigenous Design. Rutgers UP, 1999.
33. Abímbólá, W. Ifá: An Exposition of Ifá Literary Corpus. Oxford UP Nigeria, 1976.
34. Davis, J. J. Biblical Numerology. Baker Book House, 1968.

Primary Texts & Manuscripts

primary

1. Dresden Codex — SLUB Dresden digital facsimile. digital.slub-dresden.de →
2. Förstemann, E. (ed.). Codex Dresdensis. 1880 (first scholarly facsimile).
3. Tedlock, D. (trans.). Popol Vuh: The Definitive Edition of the Mayan Book of the Dawn of Life. Simon & Schuster, 1996.
4. Christenson, A. (trans.). Popol Vuh: The Sacred Book of the Maya. Univ. of Oklahoma Press, 2007.
5. Sahagún, B. de. Florentine Codex (Historia general), c. 1545–1590. Book IV (Soothsayers).
6. Codex Borbonicus — early colonial Mexica almanac.
7. Poetic Edda, trans. Larrington, Oxford UP, 2014.
8. Snorri Sturluson. Prose Edda (Gylfaginning, Skáldskaparmál). 13th c.
9. Adam of Bremen. Gesta Hammaburgensis Ecclesiae Pontificum, Book IV (Uppsala temple). c. 1075.
10. Kylver stone (Gotland, early 5th c.); Vadstena bracteate; Grumpan bracteate. Primary runic epigraphy.
11. Aristotle. Metaphysics A5, 985b–986a.
12. Plato. Republic 546b; Timaeus 53–57; Laws 737e.
13. Sextus Empiricus. Adversus Mathematicos VII.94–95.
14. Iamblichus. De Vita Pythagorica.
15. Nicomachus of Gerasa. Introduction to Arithmetic, c. 100 CE.
16. Theon of Smyrna. Expositio rerum mathematicarum, c. 100 CE.
17. Euclid. Elements, Books V (Eudoxan proportion) and XIII (regular polyhedra).
18. Halevi, J. Kuzari IV, c. 1140. Early medieval reception of Sefer Yetzirah as mathematical-linguistic theory.
19. Westcott, W. W. (trans.). Sepher Yetzirah, 1887. (Historical translation; flag as dated.)
20. Codex Leningradensis (c. 1009 CE) — Masoretic Hebrew Bible base text.
21. Nestle-Aland 28th edition (NA28); Westcott-Hort critical edition — Greek New Testament base texts.
22. Quran — ‘Uthmanic recension; standard rasm.

Encyclopedic & Online Sources

encyclopedic   (use for structure, verify against academic sources before citing on contested claims)

1. Stanford Encyclopedia of Philosophy — “Pythagoras”, “Pythagoreanism.” plato.stanford.edu →
2. Encyclopaedia Britannica — “Number symbolism — Pythagoreanism.” britannica.com →
3. World History Encyclopedia — Cartwright, M. (2016), “The Aztec Calendar.” worldhistory.org →
4. Wikipedia — “Aztec calendar”, “Numbers in Germanic paganism”, “Sefer Yetzirah.”
5. McKay’s “dilugim” archive. users.cecs.anu.edu.au →
6. Mexicolore — “Computations using Maya Numbers” (academic educational project). mexicolore.co.uk →
7. Bahaipedia — Nineteen. bahaipedia.org →
8. OEIS (On-Line Encyclopedia of Integer Sequences). oeis.org →

Source-quality legend