Writing Systems of the World · Chapitre 7
The Greek Alphabet: From Philosophy to Physics
Greek letters have transcended their original writing system to become universal symbols in mathematics, science, and engineering. This chapter covers polytonic vs monotonic Greek, the Coptic extension, and mathematical symbol derivation.
The Greek alphabet holds a unique position in the history of writing: it is the ancestor of more scripts currently in everyday use than any other writing system. From it descend the Latin alphabet used for English and most European languages, the Cyrillic alphabet used for Russian, Bulgarian, Serbian, and many others, the Armenian and Coptic scripts, and several historical scripts no longer in active use. Beyond its influence as a progenitor, the Greek alphabet endures in its own right — for the modern Greek language spoken by over 13 million people, but also as the lingua franca of mathematics, science, and philosophy, where Greek letters permeate every technical field from alpha particles to omega baryons.
From Phoenician to Greek
Around 800 BCE, Greek-speaking peoples adapted the Phoenician consonantal writing system to create the first true alphabetic script — one that systematically represented both consonants and vowels. The innovation was conceptually simple but historically momentous: several Phoenician consonant letters were repurposed for Greek vowel sounds. Phoenician aleph (𐤀, a glottal stop) became Greek alpha (Α), a vowel. He (𐤄) became epsilon (Ε). Heth (𐤇) became eta (Η). Ayin (𐤏) became omicron (Ο).
This vowel representation was transformative. Semitic writing systems — Phoenician, Hebrew, Arabic — work because readers can supply vowels from context in their native language. But non-Semitic speakers adopting a script had no such intuition. By marking vowels explicitly, the Greek alphabet became truly learnable by speakers of any language, enabling its rapid adoption and spread.
Early Greek alphabets varied by region. The Euboean variant traveled to Cumae in southern Italy, where Etruscans adopted it — giving rise to the Latin script. The Eastern Ionic variant, used in Athens, was standardized across Greece in 403 BCE and is the ancestor of the modern Greek alphabet.
The Greek Alphabet in Unicode
Modern Greek uses 24 letters. The Greek and Coptic block (U+0370–U+03FF) encodes these plus archaic letters, technical symbols, and Coptic characters that were historically joined to Greek in encoding.
Core Modern Greek Letters
| Uppercase | Lowercase | Code Points | Name | Modern Sound |
|---|---|---|---|---|
| Α | α | U+0391, U+03B1 | Alpha | /a/ |
| Β | β | U+0392, U+03B2 | Beta | /v/ (modern) |
| Γ | γ | U+0393, U+03B3 | Gamma | /ɣ/ or /j/ |
| Δ | δ | U+0394, U+03B4 | Delta | /ð/ |
| Ε | ε | U+0395, U+03B5 | Epsilon | /e/ |
| Ζ | ζ | U+0396, U+03B6 | Zeta | /z/ |
| Η | η | U+0397, U+03B7 | Eta | /i/ (modern) |
| Θ | θ | U+0398, U+03B8 | Theta | /θ/ |
| Ι | ι | U+0399, U+03B9 | Iota | /i/ |
| Κ | κ | U+039A, U+03BA | Kappa | /k/ |
| Λ | λ | U+039B, U+03BB | Lambda | /l/ |
| Μ | μ | U+039C, U+03BC | Mu | /m/ |
The Greek Extended block (U+1F00–U+1FFF) provides precomposed forms with polytonic accents — essential for ancient Greek texts.
Polytonic vs. Monotonic Greek
Modern Greek uses a monotonic orthography — a single accent mark (the tonos, ΄) to indicate the stressed syllable. This was standardized in 1982, replacing the complex polytonic system used for ancient Greek.
Classical and Byzantine Greek used three accent marks: - Oxia (acute): ά, έ, ή, ί, ό, ύ, ώ — indicates rising pitch (originally) - Varia (grave): ὰ, ὲ, ὴ, ὶ, ὸ, ὺ, ὼ — indicates falling pitch or non-final position - Perispomeni (circumflex): ᾶ, ῆ, ῖ, ῦ, ῶ — indicates a rising-then-falling contour
Additionally, two diacritics marked aspiration: - Psili (smooth breathing): ἀ — indicates a vowel-initial syllable without /h/ - Dasia (rough breathing): ἁ — indicates a vowel-initial syllable with /h/
Academic Greek texts, the Septuagint (Greek Old Testament), the New Testament, and classical literature all require polytonic encoding. The Greek Extended block provides 233 precomposed combinations, and combining characters allow construction of any combination.
For example: ἀνθρωπολογία (anthropology, "study of man") requires the precomposed ἀ (U+1F00, alpha with psili) for correct scholarly representation.
Greek in Mathematics and Science
The use of Greek letters as mathematical and scientific symbols is so pervasive that Unicode provides dedicated encodings in the Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF):
Common mathematical uses of Greek letters: - α (alpha): fine-structure constant, angular acceleration, Type I error - β (beta): beta particles, Type II error, beta function - γ (gamma): gamma rays, Lorentz factor, Euler-Mascheroni constant - δ (delta): infinitesimal change, Dirac delta, Kronecker delta - ε (epsilon): arbitrarily small positive quantity (analysis) - λ (lambda): wavelength, eigenvalue, decay constant, lambda calculus - μ (mu): micro prefix (10⁻⁶), mean, magnetic permeability - π (pi): U+03C0, ratio of circumference to diameter ≈ 3.14159... - σ (sigma): standard deviation, Stefan-Boltzmann constant, surface charge density - τ (tau): time constant, proper time, shear stress - φ (phi): golden ratio, magnetic flux, work function - ψ (psi): wave function in quantum mechanics - ω (omega): angular velocity, ohm symbol, omega baryon
Note that U+03A9 Ω (GREEK CAPITAL LETTER OMEGA) and U+2126 Ω (OHM SIGN) are canonical equivalents — the same character appearing twice in Unicode for compatibility with legacy encodings. The ohm sign is deprecated in favor of the Greek capital omega.
Greek-Latin Confusables
One significant area where Greek creates security complications is in homograph attacks — where characters from different scripts are visually identical or nearly so:
| Greek | Unicode | Latin | Unicode | Name |
|---|---|---|---|---|
| Α | U+0391 | A | U+0041 | Alpha vs. Latin A |
| Β | U+0392 | B | U+0042 | Beta vs. Latin B |
| Ε | U+0395 | E | U+0045 | Epsilon vs. Latin E |
| Ζ | U+0396 | Z | U+005A | Zeta vs. Latin Z |
| Η | U+0397 | H | U+0048 | Eta vs. Latin H |
| Ι | U+0399 | I | U+0049 | Iota vs. Latin I |
| Κ | U+039A | K | U+004B | Kappa vs. Latin K |
| Μ | U+039C | M | U+004D | Mu vs. Latin M |
| Ν | U+039D | N | U+004E | Nu vs. Latin N |
| Ο | U+039F | O | U+004F | Omicron vs. Latin O |
| Ρ | U+03A1 | P | U+0050 | Rho vs. Latin P |
| Τ | U+03A4 | T | U+0054 | Tau vs. Latin T |
| Υ | U+03A5 | Y | U+0059 | Upsilon vs. Latin Y |
| Χ | U+03A7 | X | U+0058 | Chi vs. Latin X |
These confusables are a vector for IDN (Internationalized Domain Name) homograph attacks — where an attacker registers a domain like аmazon.com using Greek Α instead of Latin A. ICANN and browsers have implemented various mitigation strategies, including restrictions on mixing scripts within a single domain label.
The Legacy Continues
Greek letters appear in naming conventions throughout science and engineering: alpha version, beta test, delta compression, lambda architecture, sigma notation, omega notation for algorithm complexity. The International Phonetic Alphabet uses several Greek letters (β, γ, δ, θ, ŋ, φ, χ, ψ, ω) for sounds. Greek letters name fraternal organizations, star designations (Alpha Centauri, Beta Orionis), and military operations.
The Greek alphabet is not merely a legacy — it is a living, adaptive tool that has served human intellectual and cultural endeavors for nearly three millennia, encoded today in the global Unicode standard for use by scholars, scientists, engineers, and the fifteen million speakers of Modern Greek alike.