The Mathematics of Magic

1940 fantasy novella by L. Sprague de Camp and Fletcher Pratt

The Mathematics of Magic

Edd Cartier's illustration of
the story in Unknown

Author| L. Sprague de Camp and Fletcher Pratt
Illustrator| Edd Cartier
Language| English
Series| Harold Shea
Genre| Fantasy
Publisher| Street & Smith

Publication date

| 1940
Publication place| United States
Media type| Print (Magazine)
Preceded by| The Roaring Trumpet
Followed by| The Castle of Iron

"The Mathematics of Magic" is a fantasy novella by American writers L. Sprague de Camp and Fletcher Pratt, the second story in their Harold Shea series. It was first published in the August 1940 issue of the fantasy pulp magazine Unknown. It first appeared in book form, together with the preceding novella, "The Roaring Trumpet", in the collection The Incomplete Enchanter, issued in hardcover by Henry Holt and Company in 1941, and in paperback by Pyramid Books in 1960. It has since been reprinted in various collections by numerous other publishers, including The Compleat Enchanter (1975), The Incompleat Enchanter (1979), The Complete Compleat Enchanter (1989), and The Mathematics of Magic: The Enchanter Stories of L. Sprague de Camp and Fletcher Pratt (2007). It has been translated into Dutch and Italian. In 2016, the story was shortlisted for the Retro Hugo Award for Best Novella.

The Harold Shea stories are parallel world tales in which universes where magic works coexist with our own, and in which those based on the mythologies, legends, and literary fantasies of our world and can be reached by aligning one's mind to them by a system of symbolic logic. In "The Mathematics of Magic", Shea visits his second such world, that of Edmund Spenser's epic poem The Faerie Queene.

## Plot summary

[edit]

Psychologist Harold Shea's accidental visit to the world of Norse mythology has confirmed his colleague Reed Chalmer's speculation that alternate universes can be reached by employing a system of symbolic logic encoding their basic assumptions. Encouraged at his theory's validation but pessimistic as to the prospects of it being taken seriously by their profession, Chalmers proposes to join Shea in a second expedition, more carefully planned, to a world in which they can achieve the fame and fortune that they are unlikely to gain in their own. He suggests the world represented by Spenser's The Faerie Queene.

Outfitting themselves appropriately, they make the attempt and are successful in reaching their target world. They soon encounter the Lady Britomart, one of Queen Gloriana's knights, in whose company they attend a tournament at the castle of Satyrane. At the feast afterward Chalmers becomes smitten by a magical simulacrum of the Lady Florimel, only to lose her in the confusion engendered by a sorcerous disruption of the proceedings. Later he and Shea undertake to find the root of the trouble, a secret brotherhood of enchanters they theorize has been tipping the balance against the forces of good, and which they hope to infiltrate and subvert. They meet the woodland huntress Belphebe, with whom Shea becomes enamored, and face the peril of the Blatant Beast, summoned up by Chalmers in a spell gone wrong.

Finally, the two succeed in infiltrating the enchanters' cabal, Chalmers as a magician and Shea as his apprentice. Chalmers, bringing a systematic and scientific approach to bear on the study of magic, fits right in—a bit too well, in Shea's opinion. The secret society appears so congenial to Chalmers that Shea becomes concerned the subversion is going the other way. Escaping, he reveals the enchanters' lair to the realm's knights, who gather to assault it, aided from within by the magic of Chalmers, who was not as far gone as Shea had feared. In the aftermath, Shea and Belphebe are blasted back to the mundane world by the attack of a surviving magician, whereupon Belphebe finally accepts Shea's proposal of marriage.

## Relation to The Faerie Queene

[edit]

The plotline of the story departs from its source, Spenser's unfinished poem, as it is the avowed intention of the protagonists to resolve the situation therein. The perceived greater difficulties faced by Spenser's knights in the later portions of the poem are explained by the evil enchanters of the piece having secretly organized into a guild to more effectively oppose them. Shea and Chalmers are instrumental in revealing this conspiracy to the knights and assisting in its overthrow.

## Sources

[edit]

* Bleiler, Everett (1948). The Checklist of Fantastic Literature. Chicago: Shasta Publishers. pp. 95.
* Laughlin, Charlotte; Daniel J. H. Levack (1983). De Camp: An L. Sprague de Camp Bibliography. San Francisco: Underwood/Miller. pp. 67–68, 208.

## External links

[edit]

* The Mathematics of Magic title listing at the Internet Speculative Fiction Database

Preceded by

"The Roaring Trumpet"

|  Harold Shea Series
The Mathematics of Magic | Succeeded by

"The Castle of Iron"

|
|

* v
* t
* e

L. Sprague de Camp

Viagens
Interplanetarias|

| Krishna|

* "Finished" (1949)
* The Queen of Zamba (1949)
* The Hand of Zei (1950)
* "Perpetual Motion" (1950)
* "Calories" (1951)
* The Virgin of Zesh (1953)
* The Tower of Zanid (1958)
* The Hostage of Zir (1977)
* The Prisoner of Zhamanak (1982)
* The Bones of Zora (1983)
* The Swords of Zinjaban (1991)

|

Kukulkan|

* The Stones of Nomuru (1988)
* The Venom Trees of Sunga (1992)

Other|

* "The Animal-Cracker Plot" (1949)
* "The Colorful Character" (1949)
* "Git Along!" (1950)
* "The Inspector's Teeth" (1950)
* "Summer Wear" (1950)
* The Continent Makers (1951)
* "The Galton Whistle" (1951)
* Rogue Queen (1951)

Harold Shea|

* "The Roaring Trumpet" (1940)
* "The Mathematics of Magic" (1940)
* The Castle of Iron (1941/50)
* The Wall of Serpents (1953)
* The Green Magician (1954)
* Sir Harold and the Gnome King (1990)
* Sir Harold of Zodanga (1995)

Pusadian|

* The Tritonian Ring (1951)
* "The Eye of Tandyla" (1951)
* "The Owl and the Ape" (1951)
* "The Hungry Hercynian" (1953)
* "The Stronger Spell" (1953)
* "Ka the Appalling" (1958)
* "The Rug and the Bull" (1974)
* "The Stone of the Witch Queen" (1977)

Novarian|

* The Goblin Tower (1968)
* The Clocks of Iraz (1971)
* "The Emperor's Fan" (1973)
* The Fallible Fiend (1973)
* The Unbeheaded King (1983)
* The Honorable Barbarian (1989)

Neo-Napolitanian|

* The Incorporated Knight (1987)
* The Pixilated Peeress (1991)

Conan|

| Novels|

* Conan and the Spider God (1980)
* Conan of the Isles (1968)
* Conan the Barbarian (1982)
* Conan the Buccaneer (1971)
* Conan the Liberator (1979)
* The Return of Conan (1957)

|

Short stories|

* "Black Sphinx of Nebthu" (1973)
* "The Treasure of Tranicos" (1953)
* "Black Tears" (1968)
* "The Blood-Stained God" (1955)
* "The Castle of Terror" (1969)
* "The City of Skulls" (1967)
* "The Curse of the Monolith" (1968)
* "Drums of Tombalku" (1966)
* The Flame Knife (1955/81)
* "The Frost Giant's Daughter" Conan (1953)
* "The Gem in the Tower" (1978)
* "The God in the Bowl" (1952)
* "The Hall of the Dead" (1967)
* "Hawks Over Shem" (1955)
* "The Ivory Goddess" (1978)
* "The Lair of the Ice Worm" (1969)
* "Legions of the Dead" (1978)
* "Moon of Blood" (1978)
* "The People of the Summit" (1970/78)
* "Red Moon of Zembabwei" (1974)
* "The Road of the Eagles" (1955)
* "Shadows in the Dark" (1978)
* "Shadows in the Skull" (1975)
* "The Snout in the Dark" (1969)
* "The Star of Khorala" (1978)
* "The Thing in the Crypt" (1967)
* "The Witch of the Mists" (1972)
* "Wolves Beyond the Border" (1967)

Other
speculative
fiction|

| Novels|

* The Carnelian Cube (1948)
* Genus Homo (1950)
* The Glory That Was (1960)
* The Great Fetish (1978)
* Land of Unreason (1942)
* Lest Darkness Fall (1941)
* None but Lucifer (1939)
* Solomon's Stone (1942)

|

Short stories|

* "Aristotle and the Gun" (1958)
* "The Blue Giraffe" (1939)
* "The Command" (1938)
* "The Contraband Cow" (1942)
* "Cornzan the Mighty" (1955)
* "Divide and Rule" (1939)
* "The Egg" (1956)
* "Employment" (1939)
* "The Gnarly Man" (1939)
* "The Guided Man" (1952)
* "A Gun for Dinosaur" (1956)
* "The Hardwood Pile" (1940)
* "The Hibited Man" (1949)
* "Hyperpilosity" (1938)
* "In-Group" (1952)
* "Internal Combustion" (1956)
* "The Isolinguals" (1937)
* "Judgment Day" (1955)
* "Let's Have Fun" (1957)
* "Living Fossil" (1939)
* "The Merman" (1938)
* "Nothing in the Rules" (1939)
* "The Reluctant Shaman" (1947)
* "The Saxon Pretender" (1952)
* "The Space Clause" (1952)
* "The Stolen Dormouse" (1941)
* "Throwback" (1949)
* "The Wheels of If" (1940)

Historical fiction|

* The Dragon of the Ishtar Gate (1961)
* The Arrows of Hercules (1965)
* An Elephant for Aristotle (1958)
* The Bronze God of Rhodes (1960)
* The Golden Wind (1969)

Fiction edited|

* The Wolf Leader (1950)
* Swords and Sorcery (1963)
* The Spell of Seven (1965)
* Conan the Warrior (1967)
* The Fantastic Swordsmen (1967)
* Conan the Conqueror (1967)
* Warlocks and Warriors (1970)
* 3000 Years of Fantasy and Science Fiction (1972)
* Tales Beyond Time (1973)

Nonfiction|

| Science and
history|

* Inventions and Their Management (1937)
* The Evolution of Naval Weapons (1947)
* Antarctic Conquest (1949)
* Engines (1959)
* The Heroic Age of American Invention (1961)
* Man and Power (1961)
* Energy and Power (1962)
* The Ancient Engineers (1963)
* Ancient Ruins and Archaeology (1964)
* Elephant (1964)
* Spirits, Stars, and Spells (1966)
* The Story of Science in America (1967)
* The Day of the Dinosaur (1968)
* The Great Monkey Trial (1968)
* Darwin and His Great Discovery (1972)
* Great Cities of the Ancient World (1972)
* The Ragged Edge of Science (1980)
* The Fringe of the Unknown (1983)
* The Ape-Man Within (1995)
* Rubber Dinosaurs and Wooden Elephants (1996)

|

Lit crit and
biography|

* Blond Barbarians and Noble Savages (1975)
* The Conan Reader (1968)
* Dark Valley Destiny (1983)
* Lands Beyond (1952)
* Literary Swordsmen and Sorcerers (1976)
* Lost Continents (1954)
* Lovecraft: A Biography (1975)
* The Miscast Barbarian (1975)
* Science-Fiction Handbook (1953/75)
* Time and Chance (1996)

Nonfiction edited|

* The Conan Swordbook (1969)
* The Conan Grimoire (1972)
* To Quebec and the Stars (1976)
* The Blade of Conan (1979)
* The Spell of Conan (1980)

Poetry|

* Demons and Dinosaurs (1970)
* Heroes and Hobgoblins (1981)
* Phantoms and Fancies (1972)

Collections|

* The Continent Makers and Other Tales of the Viagens (1953)
* The Virgin of Zesh & The Tower of Zanid (1983)
* The Incomplete Enchanter (1941)
* Wall of Serpents (1960)
* The Compleat Enchanter (1975)
* The Complete Compleat Enchanter (1989)
* The Enchanter Reborn (1992)
* The Exotic Enchanter (1995)
* The Mathematics of Magic (2007)
* The Tritonian Ring and Other Pusadian Tales (1953)
* The Reluctant King (1985)
* Conan (1967)
* The Conan Chronicles (1989)
* The Conan Chronicles 2 (1990)
* Conan of Aquilonia (1977)
* Conan of Cimmeria (1969)
* Conan the Adventurer (1966)
* Conan the Avenger (1968)
* Conan the Freebooter (1968)
* Conan the Swordsman (1978)
* Conan the Usurper (1967)
* Conan the Wanderer (1968)
* Sagas of Conan (2004)
* Tales of Conan (1955)
* The Treasure of Tranicos (1980)
* Aristotle and the Gun (2002)
* The Best of L. Sprague de Camp (1978)
* Divide and Rule (1948)
* Footprints on Sand (1981)
* A Gun for Dinosaur (1963)
* The Purple Pterodactyls (1980)
* The Reluctant Shaman (1970)
* Rivers of Time (1993)
* Scribblings (1972)
* Sprague de Camp's New Anthology (1953)
* Tales from Gavagan's Bar (1953/78)
* The Undesired Princess (1951)
* The Virgin & the Wheels (1976)
* The Wheels of If (1948)
* Years in the Making (2005)

About de Camp|

* GURPS Planet Krishna (1997)
* The Enchanter Completed (2005)

Works by Fletcher Pratt

Harold Shea series
(with L. Sprague de Camp)|

| de Camp/
Pratt canon|

* "The Roaring Trumpet" (1940)
* "The Mathematics of Magic" (1940)
* The Castle of Iron (1941/50)
* The Wall of Serpents (1953)
* The Green Magician (1954)

|

Collections|

* The Incomplete Enchanter (1941)
* Wall of Serpents (1960)
* The Compleat Enchanter (1975)
* The Complete Compleat Enchanter (1989)
* The Mathematics of Magic (2007)

Novels|

* Land of Unreason (1941) with L. Sprague de Camp
* The Carnelian Cube (1948) with L. Sprague de Camp
* The Well of the Unicorn (1948)
* The Blue Star (1952)
* Double Jeopardy (1952)
* The Undying Fire (1953)
* Invaders from Rigel (1960)
* Alien Planet (1962)

Collections|

* Double in Space (1951)
* Tales from Gavagan's Bar (1953, expanded 1978) with L. Sprague de Camp

Anthologies|

* World of Wonder (1951)
* The Petrified Planet (1952)
* Witches Three (1952)

* v
* t
* e

Edmund Spenser's The Faerie Queene (1590)

Characters|

* Archimago
* Belphoebe
* Caelia
* Fairy Queen
* Orgoglio

Locations|

* House of Pride

Influence|

* The Mathematics of Magic
* The Palace of Pleasure

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