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Reform of the Julian Calendar as Envisioned by Isaac Newton

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Gregorian reform in <strong>the</strong> Catholic countries. Besides, he w<strong>as</strong> <strong>Newton</strong>, after all. Not yet “Sir<br />

<strong>Isaac</strong>,” but <strong>Newton</strong>, <strong>the</strong> author <strong>of</strong> Principia Ma<strong>the</strong>matica Philosophie Naturalis.<br />

The manuscripts, known <strong>as</strong> Yahuda MS 24 after So<strong>the</strong><strong>by</strong>’s 1936 auction, were never<br />

published, though a draft <strong>of</strong> his letter to <strong>the</strong> Bishop <strong>of</strong> Worcester proves that <strong>Newton</strong> made<br />

an effort to convince <strong>the</strong> politically preeminent <strong>of</strong> <strong>the</strong> advantages <strong>of</strong> his calendar system.<br />

We first give a brief account <strong>of</strong> <strong>Newton</strong>’s system, subdivided into a historical and a purely<br />

calendrical part; <strong>the</strong> latter in turn is subdivided into <strong>the</strong> solar, se<strong>as</strong>onal, and lunar parts <strong>of</strong><br />

his system; and, finally, his proposed ecclesi<strong>as</strong>tical reform. We present some general<br />

discussion and pose some open questions. A transcript <strong>of</strong> <strong>Newton</strong>’s own manuscript is in<br />

<strong>the</strong> Appendix. The first brief description <strong>of</strong> <strong>the</strong> manuscripts w<strong>as</strong> made <strong>by</strong> David C<strong>as</strong>tilejo,<br />

a <strong>Newton</strong>ian scholar, at <strong>the</strong> request <strong>of</strong> <strong>the</strong> Hebrew University in Jerusalem, and we<br />

preserved his cataloguing numbers - A, B, C, D, E, F, G. - throughout <strong>the</strong> text, introducing<br />

additional pagination on <strong>the</strong> top <strong>of</strong> <strong>the</strong> letters.<br />

Historical Part<br />

In his letter to <strong>the</strong> Bishop <strong>of</strong> Worcester (draft F) <strong>Newton</strong> gives a brief sketch <strong>of</strong> historical<br />

calendars. The original calendar, handed down <strong>by</strong> <strong>the</strong> Biblical patriarch Noah, w<strong>as</strong><br />

lunisolar. Egyptians worked only with a 365-day solar year. Julius Caesar improved <strong>the</strong><br />

Egyptian calendar <strong>by</strong> taking into account <strong>the</strong> remaining quarter <strong>of</strong> a day. Chaldeans used a<br />

lunisolar calendar and Jews obtained it from <strong>the</strong>m while exiled in Ba<strong>by</strong>lonia, <strong>as</strong> proved <strong>by</strong><br />

<strong>the</strong>ir identical names for <strong>the</strong> lunar months. In <strong>the</strong> desert, Moses could not observe new and<br />

full moons and appointed <strong>the</strong> first days <strong>of</strong> <strong>the</strong> months arbitrarily; but King David appointed<br />

12 guards over Eretz Israel from <strong>the</strong> 12 tribes, according to <strong>the</strong> celestial 12-month division.<br />

Solar Part<br />

In three consecutive drafts A1-A3 <strong>of</strong> <strong>the</strong> proposed reform, <strong>Newton</strong> quotes three different<br />

values for <strong>the</strong> solar year, <strong>as</strong>suming that it is shorter than <strong>the</strong> <strong>Julian</strong> year (<strong>of</strong> 365d 6h) <strong>by</strong> ‘11<br />

1/4 m’ (A1 [p. 1]); ‘11 1/5 m’ (A2 [p. 5]); first ‘11 1/15 m’ and, finally, ‘11m and 3 or 4s’<br />

(A3 [p. 8]). The first two values better fit <strong>the</strong> proposed <strong>Newton</strong>ian reform:<br />

(1) to drop February 29 in years divisible <strong>by</strong> 100 but not in those divisible <strong>by</strong> 500;<br />

(2) to add February 30 in years divisible <strong>by</strong> 5,000.<br />

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