Article #212-1 | Gutenberg Articles

Excerpt

Excerpt from A List of Factorial Math Constants, by Unknown

200!
78865 78673 64790 50355 23632 13932 18506 22951 35977 68717 32632 94742 53324
43594 49963 40334 29203 04284 01198 46239 04177 21213 89196 38830 25764 27902
42637 10506 19266 24952 82993 11134 62857 27076 33172 37396 98894 39224 45621
45166 42402 54033 29186 41312 27428 29485 32775 24242 40757 39032 40321 25740
55795 68660 22603 19041 70324 06235 17008 58796 17892 22227 89623 70389 73747
20000 00000 00000 00000 00000 00000 00000 00000 00000 00000
(end 200! -- 375 digits)

300!
30605 75122 16440 63603 53704 61297 26862 93885 88804 17357 69994 16776 74125
94765 33176 71686 74655 15291 42247 75733 49939 14788 87017 26368 86426 39077
59003 15422 68429 27906 97455 98412 25476 93027 19546 04008 01221 57762 52176
85425 59653 56903 50678 87252 64321 89626 42993 65204 57644 88303 88909 75394
34896 25436 05322 59807 76521 27082 24376 39449 12012 86786 75368 30571 22936
81943 64995 64604 98166 45022 77165 00185 17654 64693 40112 22603 47297 24066
33325 85835 06870 15016 97941 68850 35375 21375 54910 28912 64071 57154 83028
22849 37952 63658 01452 35233 15693 64822 33436 79925 45940 95276 82060 80622
32812 38738 38808 17049 60000 00000 00000 00000 00000 00000 00000 00000 00000
00000 00000 00000 00000 00000 00000
(end 300! -- 615 digits)

400!
64034 52284 66238 95262 34797 03195 03005 85070 25830 26002 95945 86844 45942
80239 71691 86831 43627 84786 47463 26467 62943 50575 03585 68108 48298 16288
35174 35228 96198 86468 02997 93734 16541 50838 16242 64619 42352 30704 62443
25015 11444 86708 90662 77391 49181 17331 95599 64407 09549 67134 52904 77020
32243 49112 10797 59328 07951 01545 37266 72516 27877 89000 93497 63765 71032
63503 31533 96534 98683 86831 33935 20243 73788 15778 67915 06311 85870 26182
70169 81974 00629 83025 30859 12983 46162 27230 45583 39520 75961 15053 02236
08681 04332 97255 19485 26744 32232 43866 99484 22404 23259 98055 51610 63594
23769 61399 23191 71340 63858 99653 79701 47827 20660 63202 17379 47201 03213
56624 61380 90779 42304 59736 06995 67595 83609 61587 15129 91382 22865 78579
54936 16176 54480 45322 20078 25818 40084 84364 15591 22945 42753 84803 55837
45180 22675 90006 13995 60145 59520 61272 11192 91810 50324 91008 00000 00000
00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 00000
00000 00000 00000 00000 0000
(end 400! -- 869 digits)

Explanation

This excerpt from A List of Factorial Math Constants (attributed to an unknown author) presents the exact numerical values of 200! (200 factorial), 300!, and 400!, each rendered as a massive, unbroken string of digits. While the text appears to be purely mathematical, its presentation as a literary or poetic fragment invites deeper analysis—particularly in how it subverts expectations of meaning, form, and human engagement with abstraction. Below is a detailed breakdown of the excerpt’s context, themes, literary devices, and significance, with an emphasis on the text itself.

1. Context: What Is This Text?

Factorials in Mathematics: The factorial of a number n (n!) is the product of all positive integers from 1 to n (e.g., 5! = 5 × 4 × 3 × 2 × 1 = 120). Factorials grow astronomically; 200! has 375 digits, 300! has 615, and 400! has 869.
Source and Genre: The text is likely from a mathematical reference work, computational output, or an avant-garde literary experiment (e.g., conceptual poetry or oulipean constraints). The unknown authorship and stark presentation evoke found poetry—texts repurposed as art.
Literary Precedents: Similar works include:
- OuLiPo (Ouvroir de Littérature Potentielle): A French literary group (e.g., Raymond Queneau, Georges Perec) that used mathematical structures in writing.
- Concrete Poetry: Visual arrangements of text where form = content (e.g., Eunoia by Christian Bök).
- Digital/Algorithmic Literature: Works generated by computational rules (e.g., 100,000 Billion Poems by Queneau).

2. Themes in the Text

Despite its mathematical origin, the excerpt engages with several literary and philosophical themes:

A. The Sublime and Incomprehensibility

The sheer scale of the numbers (hundreds of digits) overwhelms human comprehension. Reading them aloud would take minutes; writing them out by hand, hours.
Example: 400!’s 869 digits fill 20+ lines, ending with 30 zeros—a visual representation of infinity within finitude.
Connection: Evokes the mathematical sublime (awe inspired by vast, abstract systems), akin to Kant’s dynamic sublime (e.g., staring into a starry sky).

B. Meaning and Meaninglessness

The digits are semantically empty—they don’t "mean" anything beyond their mathematical definition. Yet, their presentation as a "list" or "poem" forces the reader to project meaning onto them.
Paradox: The text is precise (each digit is correct) but arbitrary (no narrative or symbolism). This mirrors absurdist literature (e.g., Beckett’s Texts for Nothing), where structure replaces meaning.

C. Human vs. Machine

The numbers are machine-generated (calculated by algorithms) but presented in a human-readable format (grouped into 5-digit blocks).
Tension: The reader’s eye struggles to parse the digits, highlighting the limits of human cognition against computational power.
Historical Context: Early computers (e.g., ENIAC) were used to calculate large factorials, tying this text to the history of computation.

D. Repetition and Pattern

The repetition of digits (e.g., sequences like "00000") creates a hypnotic rhythm, similar to:
- Minimalist music (Steve Reich’s Pendulum Music).
- Incantatory poetry (e.g., The Waste Land’s "Jug Jug" refrain).
Visual Patterns: The trailing zeros in factorials (due to factors of 10) form a crescendo of nothingness, reinforcing the theme of entropy or decay.

E. Time and Labor

Calculating these factorials manually would take lifetimes; their presentation here is a monument to unseen labor (both human and mechanical).
Connection: Marxist critiques of alienated labor (the work behind the numbers is invisible, only the product remains).

3. Literary Devices

The text employs several poetic and rhetorical techniques, despite its mathematical origin:

A. Enjambment and Line Breaks

The digits are split into lines (e.g., 200! spans 5 lines), creating a visual cadence.
Effect: Mimics free verse, where line breaks dictate pacing. The reader’s eye "stumbles" over the digits, much like reading a complex poem.

B. Juxtaposition

The contrast between the title (A List of Factorial Math Constants) and the overwhelming data creates irony.
Example: The phrase "(end 200! -- 375 digits)" is bureaucratic, reducing a colossal number to a footnote.

C. Alliteration and Assonance (Accidental Music)

While unintentional, sequences like "78865 78673" or "64034 52284" create oral textures when read aloud.
Connection: Similar to Dadaist sound poetry (e.g., Hugo Ball’s Karawane), where phonetics replace semantics.

D. Symbolism of Zero

The trailing zeros in factorials symbolize:
- Silence (like John Cage’s 4’33").
- Death or void (e.g., Beckett’s The Unnamable).
- Mathematical inevitability (zeros accumulate due to factors of 2 and 5).

E. The List as a Literary Form

The text is a catalog, a form used in:
- Epic poetry (Homer’s Catalogue of Ships).
- Postmodern literature (Borges’ The Aleph, which lists infinite things).
Effect: The list resists narrative, forcing the reader to confront pure quantity.

4. Significance: Why Does This Matter?

A. Challenging Literary Conventions

The text denies traditional storytelling, asking: Can data be poetry?
Connection: Conceptual writing (e.g., Kenneth Goldsmith’s Day, a transcription of a newspaper) treats information as art.

B. The Aesthetics of Information

In the digital age, we’re surrounded by incomprehensible data (e.g., blockchain hashes, genetic codes). This text aestheticizes that experience.
Example: The blockchain’s ledger is similarly a vast, unreadable list—yet culturally significant.

C. Existential Questions

The text invites reflections on:
- Human insignificance (we can’t grasp 400!’s magnitude).
- The limits of language (numbers exceed verbal description).
- The beauty of abstraction (like a Jackson Pollock painting, it’s meaningful without "meaning").

D. Interdisciplinary Bridge

It blurs boundaries between:
- Math and art (like M.C. Escher’s tessellations).
- Science and literature (e.g., Primo Levi’s The Periodic Table).

5. Close Reading: Key Passages

A. The Opening of 200!

78865 78673 64790 50355 23632 13932 18506 22951 35977 68717...

The first digits are arbitrary yet monumental, like the opening lines of an epic.
The lack of punctuation creates a seamless flow, evoking infinity.

B. The Trailing Zeros

...00000 00000 00000 00000 00000 00000 00000 00000 00000 00000

The repetition of zero is visually striking, like a black hole in the text.
Symbolically, it represents:
- The end of calculation (factorials always end with zeros).
- Nihilism (the "meaning" dissolves into nothing).

C. The Parenthetical Notes

(end 200! -- 375 digits)

The parentheses feel clinical, reducing a vast number to a bureaucratic note.
Irony: The "end" is both a conclusion and a reminder of scale.

6. Possible Interpretations

As Pure Mathematics: A reference tool, devoid of literary intent.
As Conceptual Art: A commentary on data overload in modern life.
As Existential Meditation: A reflection on human limits in the face of abstraction.
As Dadaist Provocation: A rejection of traditional meaning, akin to Tristan Tzara’s cut-up poems.

7. Conclusion: Why This Text Fascinates

This excerpt is both nothing and everything:

Nothing: Just numbers, devoid of plot, character, or emotion.
Everything: A mirror for human curiosity, computational power, and the search for meaning in chaos.

In an era of big data and AI, it serves as a poetic reminder that some things—like 400!’s 869 digits—exist beyond our grasp, yet still demand our attention.