Editing Isopsephy (section)

==History==
[[File:Isopsephic stele.jpg|thumb|Example of isopsephy from the [[Sanctuary of Artemis Orthia]], 2nd century AD]]
Until [[Arabic numerals]] were [[History of the Hindu–Arabic numeral system|adopted and adapted]] from [[Hindu–Arabic numeral system|Indian numerals]] in the 8th and 9th centuries AD, and promoted in Europe by [[Fibonacci]] of [[Republic of Pisa|Pisa]] with his 1202 book ''[[Liber Abaci]]'', numerals were predominantly alphabetical. For instance in [[Ancient Greece]], [[Greek numerals]] used the alphabet. It is just a short step {{citation needed|date=September 2023}} from using letters of the alphabet in everyday arithmetic and mathematics to seeing numbers in words, and to writing with an awareness of the numerical dimension of words.

An early reference to isopsephy, albeit of more-than-usual sophistication (employing multiplication rather than addition), is from the mathematician [[Apollonius of Perga]], writing in the 3rd century BC. He asks: "Given the verse: {{lang|grc|ΑΡΤΕΜΙΔΟΣ ΚΛΕΙΤΕ ΚΡΑΤΟΣ ΕΞΟΧΟΝ ΕΝΝΕΑ ΚΟΥΡΑΙ}} ('Nine maidens, praise the glorious power of Artemis'), what does the product of all its elements equal?"<ref name="psychoyos">{{cite journal |last=Psychoyos |first=Dimitris K. |title=The forgotten art of isopsephy and the magic number KZ |journal=Semiotica |date=April 2005 |volume=154 |issue=1–4 |pages=157–224 |doi=10.1515/semi.2005.2005.154-1-4.157 |s2cid=170540448}}<!--|access-date=31 January 2011--></ref>

More conventional are the instances of isopsephy found in graffiti at [[Pompeii]], dating from around 79 AD. One reads {{mvar|{{lang|grc|Φιλω ης αριθμος ϕμε}},}} "I love her whose number is 545."
Another says "Amerimnus thought upon his lady Harmonia for good. The number of her honorable name is 45."

[[Suetonius]], writing in 121 AD, reports a political slogan that someone wrote on a wall in Rome: 
::{{math|"Nero, Orestes, Alcmeon their mothers slew.}}
::{{math|A calculation new. Nero his mother slew"}}
which appears to be another example.<ref name=farbridge>{{cite book |first=Maurice H. |last=Farbridge |title=Studies in Biblical and Semitic Symbolism |year=2003 |isbn=978-0-7661-3856-8 |page=94}}</ref><ref>''[[The Twelve Caesars|The Lives of the Twelve Caesars]]'', Nero, 39:2 [[s:The Lives of the Twelve Caesars/Nero#cite ref-124 wikisource|in wikisource]] The footnote to this reads: "See the reference to the Rh. Mus. in the textual note. The numerical value of the Greek letters in Nero's name (1005) is the same as that of the rest of the sentence; hence we have an equation, Nero = the slayer of one's own mother."</ref> In Greek, Νερων, Nero, has the numerical value:

{{fs interlinear |lang=grc |indent=2 |spacing=0.2 |italics2=no |glossing2=no
|Ν {} ε {} ρ {} ω {} ν {} {}
|50 + 5 + 100 + 800 + 50 {{=}} 1005,
|}}

the same value as:

{{fs interlinear |lang=grc |indent=2 |spacing=0.2 |glossing3=no
|{} ι {} δ {} ι {} α {} ν {} {} {} μ {} η {} τ {} ε {} ρ {} α {} {} {} α {} π {} ε {} κ {} τ {} ε {} ι {} ν {} ε {}
|{} i {} d {} i {} a {} n {} {} {} m {} e {} t {} e {} r {} a {} {} {} a {} p {} e {} k {} t {} e {} i {} n {} e {}
|( 10 + 4 + 10 + 1 + 50 ) + ( 40 + 8 + 300 + 5 + 100 + 1 ) + ( 1 + 80 + 5 + 20 + 300 + 5 + 10 + 50 + 5 )
|"He killed his own mother".}}

A famous example is [[Number of the beast|666]] in the Biblical [[Book of Revelation]] (13:18): "Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six." The word rendered "count", {{lang|grc|ψηφισάτω}}, {{Transliteration|grc|psephisato}}, has the same "pebble" root as the word isopsephy.<ref>{{Cite web |url=http://barnes.biblecommenter.com/revelation/13.htm |title=Revelation 13 Barnes' Notes on the Bible |access-date=2011-01-31 |archive-url=https://web.archive.org/web/20110320043556/http://barnes.biblecommenter.com/revelation/13.htm |archive-date=2011-03-20 |url-status=dead }}</ref><ref>{{cite book |title=The Revelation of St. John the Divine Self-Interpreted |first=Samuel |last=Fuller |publisher=Thomas Whittaker |place=New York |year=1885 |page=[https://archive.org/stream/revelationofstjo00full#page/226 226]}}</ref>

Also in the 1st century AD, Leonidas of Alexandria created isopsephs, epigrams with equinumeral distichs, where the first hexameter and pentameter equal the next two verses in numerical value. He addressed some of them to Nero:
::{{mvar|{{lang|grc|Θυει σοι τοδε γραμμα γενεθλιακαισιν εν ὡραις,}} }}
::{{mvar|{{lang|grc|Καισαρ, Νειλαιη Μουσα Λεωνιδεω.}} }}
::{{mvar|{{lang|grc|Καλλιοπης γαρ ακαπνον αει θυος· εις δε νεωτα}} }}
::{{mvar|{{lang|grc|Ην εθελῃς, θυσει τουδε περισσοτερα.}}<ref name="psychoyos"/>}}
Which translates to: "The muse of Leonidas of the Nile offers up to thee, O Caesar, this writing, at the time of thy nativity; for the sacrifice of Calliope is always without smoke: but in the ensuing year he will offer up, if thou wilt, better things than this." Here the sum of both the first and second distich is 5699. In another of his [[distich]]s, the [[hexameter]] line is equal in number to its corresponding [[pentameter]]:
::{{mvar|{{lang|grc|Εἱς προς ἑνα ψηφοισιν ισαζεται, ου δυο δοιοις}},}}
::{{mvar|{{lang|grc|Ου γαρ ετι στεργω την δολιχογραφιην}}.}}
Which translates to: "One line is made equal in number to one, not two to two; for I no longer approve of long epigrams." Here each line totals 4111.<ref>{{cite web |title=Revelation&nbsp;13 |website=clarke.biblecommenter.com |url=http://clarke.biblecommenter.com/revelation/13.htm |url-status=dead |access-date=2011-02-02 |archive-url=https://web.archive.org/web/20110320043444/http://clarke.biblecommenter.com/revelation/13.htm |archive-date=2011-03-20}}</ref>

A headstone found at the [[Sanctuary of Artemis Orthia|Temple of Artemis at Sparta Orthia]] is a 2nd-century AD example of isopsephic elegiac verse. It says:
::{{math|{{lang|grc|ΟΡΘΕΙΗ  ΔΩΡΟΝ  ΛΕΟΝΤΕΥΣ  ΑΝΕΘΗΚΕ  ΒΟΑΓΟΣ   ΒΨΛ}} }}
::{{math|{{lang|grc|ΜΩΑΝ  ΝΙΚΗΣΑΣ  ΚΑΙ  ΤΑΔΕ  ΕΠΑΘΛΑ  ΛΑΒΩΝ   ΒΨΛ}} }}
::{{math|{{lang|grc|ΚΑΙ  ΜΕΣΤΕΨΕ  ΠΑΤΗΡ  ΕΙΣΑΡΙΘΜΟΙΣ  ΕΠΕΣΙ   ΒΨΛ}} }}
It is the votive stele for a boy who won a competition in singing. The words in each line add up to {{math|{{lang|grc|΄Β΄Ψ΄Λ}},}} that is 2730, and that total is also given at the end of each line. Also in the 2nd century AD, [[Aelius Nicon]] of [[Pergamon]], the Greek [[architect]] and builder described by his son, the famous physician [[Galen]], as having "mastered all there was to know of the science of geometry and numbers", was a master in composing isopsephic works.<ref name="psychoyos"/>