### Let the mystery be

Iris Dement

Still low with the flu, but my spirit is lighter than it was last post and I wanted something up here to reflect that.

New content next week. Have a safe and encouraging holiday.

What You Don't Know Can't Hurt Them.

Iris Dement

Still low with the flu, but my spirit is lighter than it was last post and I wanted something up here to reflect that.

New content next week. Have a safe and encouraging holiday.

*posted by Jeff Wells at 12/24/2007 06:42:00 PM*

**Name:**Jeff Wells

Cautiously pessimistic Canadian author and satirist. My first novel, "Anxious Gravity," is published by Dundurn Press. A compilation of essays, "Rigorous Intuition," is published by Trine Day.

it's not without significance.

Consider that intuitive wisdom to be a Divine attribute,

not a vain suspicion:

the light of the heart has apprehended

- Rumi

- It came upon a midnight clear
- The things that don't add up
- America Ate My Brain (Part Two)
- America Ate My Brain (Part One)
- The Unnameable
- Splendid Isolation
- Blow'd Up Real Good (Part Two)
- Blow'd Up Real Good (Part One)
- Post coming later today. Lousy bronchitis.
- The Autumn People

*9/11*- It's the Real Thing
- A Dot Too Far
- No Guru, No Teacher, No Method
- That Body Snatchers Moment
- Secret Agent Man
- Inside, Outside
- Area 9/11
- If I Only Had a Plane
- Flight of Capital
- That Bill Hicks Moment
- Money doesn't talk
- Springtime for Atta
- Back to Black
- Plan 9 from Saudi Arabia
- The trouble with normal
- Don't get used to it
- The sound of one-hand slapping
- Cynical, sophisticated and subtle
- Let me put it this way
- The guns of 9/11
- The difference it makes
- Sibel's Way
- Oh, the Places You Go (When You Follow the Money)
- Do You Know this Woman?
- 9/11 in the Courts. Sort of
- Michael Chertoff and the Sabotage of the Ptech Investigation
- Ten Things We Learned in 2004 about 9/11
- Rumsfeld Goes off Message
- "Give Me a Good Reason"
- TIA Was Ready Before 9/11
- Another "Timely Alert"
- Binge, Purge and Repeat
- Report: WTC Black Boxes Were Recovered
- Bushthink, and the Strength of Venezuelan Steel
- 9/11 Truth or Consequences
- The Riddle of the Transponders
- The Flying Wedge
- Remembering September 10
- Dick Cheney, Terrorism Czar
- "Where Drugs, Arms and Oil Intersect"
- The Coincidence Theorist's Guide to 9/11
*7/7*- Pictures from a demolition
- Kick at the darkness
- Does anyone really know what time it is?
- This is London
*Assassinations*- Fatally Beautiful (Monroe)
- Married to the Octopus (Diana)
- Bobby and Alexander (RFK, Litvinenko)
- The Violent Bear It Away (Rabin)
- "The Master Approached" (RFK)
- Leprosy Treatment (Milosevic)
- The Day John Kennedy Died
- Early morning, April 4 (MLK)
- "My God - They Killed Him!" (Pope John Paul I)
- "Heeeere's Justice!" (JFK)
- "Is Everybody Okay?" (RFK)
- The "Trial of the Century" that Wasn't (MLK)
- Very Special Agents (Wellstone)
- The Ballad of "Eduardo" (JFK)
- Mary, Ferrie and Gerald Posner (JFK)
- Live with Regis and Harvey Lee (JFK)
- Suicide? Don't Fall for It
*Deep Politics*- Outside the Box
- The Monolith Monsters
- The Laughing Cow
- Fairytale of New York
- Rogue Elements
- Back to the Wilderness
- Floating in a Most Peculiar Way
- Ceremonies of the Horsemen
- Who Ya Gonna Call?
- Just a Drive By
- All Tumbling Down
- Too Much Monkey Business
- Final Destination
- License to Spin
- Lost Girls
- The Massacre of the Innocents
- Darkness Falls
- Painting the Passports Brown
- The Monotony of Evil
- I Want to Disbelieve
- Justice Can Wait
- The Aristocrats
- The Revolution Will Not Be Webcast
- It's all in the game
- Fitzgerald's Witnesses
- Vanishing Act
- Bodies of Intelligence
- Won't you come home, Reno Harnish
- "Never saw nothing at all"
- A Bridge over Muddied Waters
- Conspiracature
- Name that Tune
- A Post-November 5th World
- Inoculations
- Lawyers, Guns, Money and Drugs
- Markovian Parallax Denigrate
- Accidents will happen
- Sex, Drugs and Three-Card Monte
- "God Bless Canada"
- Let's Pretend Politics
- Stand on Guard, Run Like Hell
- The Cocaine Coup and the Coca Revolution
- Sembler for the Defense
- What about Bob?
- Something in between
- Is that your final A.N.S.W.E.R.?
- The Fortune in Men's Eyes
- Threat assessment
- Do like Elvis did
- Things go sliding
- Dem Bones, Dem Bones
- The hour when the ship comes in
- Another man who knew too much?
- The Great Race and the Marathon of Hope
- Signal/Noise
- The consolation of conspiracy
- This is only a drill
- The Prophet Greenspan
- The disease of conceit
- The Italian Job
- Dick Cheney's acid house
- Heads up
- Doppelganger
- What is Watergate?
- Posada again
- The Voice of Abulafia
- Broken News
- White smoke, dark skies
- "If you want somebody you can trust, trust yourself"
- "Dead man, dead man. When will you arise?"
- "A newborn baby with wild wolves all around it"
- Conspiracy Theory Made Easy
- Two Hits, and a Miss
- Bill and George, Happy at Last
- Parker Brothers' Politics
- The Nine Billion Names of Fraud
- Spook Banks
- Another Microbiologist Murdered
- "A Government 'Op' that Went Wrong"
- Planet Colombia
- The Boy Who Cried Wolfowitz
- Blood, Oil and Gary Webb's Death
- The Annotated "German Guy"
- Two Stories and One Nightmare
- "The Last North American Career Journalist"
- Evidence Mounts
- Dark Actors and Dark Alliances
- Condolences to the Salinas Family of Mexico
- Mark Lombardi's Uzumaki
- Vreeland Again
- It's Probably Nothing
- Breaking: Delmart Vreeland Arrested
- Che and Felix
- Oil Is Not the Only Drug
- Disreputable Men
- "Yours in 322"
- Follow the Money, Find a Bush
- How Many Privileged Secrets?
- Manhattan on the Volga
- Magic Bullshit Theory
- Yellow Cake and Black Shirts
- Unknown Knowns
*Election 2004*- On the Cover of the Rolling Stone
- In the Colosseum
- "If We Despise Our Own Government We Have No Future"
- "People Would Laugh at Us!"
- Where there's Smoke, there's a Smoking Gun
- The Dissonantly Cognitive
- How to Hack the Vote
- "Jesus Speaks through Republicans"
- Mock the Vote
- Fraud's Legs
- Only the Paranoid Survive
- "Now Comes the Revolution"
- Virtual Despotism
- Palast: A Million Votes already Stolen
- Remembering Hope
- Lincoln's Bed and Bush's Crown
- Nixon's Lip and Bush's Palsy
- October Portents
*Environment and Environmental Weapons*- Manifestations
- It doesn't take a weatherman
- Biowarfare and "domestic violence"
- Top of the Food Chain
- It's the End of the World as We Know It
- Project Seal: "Tsunami Bomb" Papers Declassified
- Extreme Enough for Ya?
- First, They Ignore You
- A Tale of Two Earthquakes
- The American Replacement of Natural Disaster
*Fascism*- Patterns of Force
- "Rise Up, and Let the Storm Break Loose"
- Mephistopheles
- The Trouble with Fascists
- JFC Fuller's Army
- Peak Fascism
- The Left, the Right, and the Wrong
- "Watch, ride and report"
- "How High's the Water, Mama?"
- "Permanent Uncle" Sam
- Repealing Godwin's Law
- This World Is Not This World
- "Despotism"
- Which World War Is It, Anyway?
*Iraq*- Theory of a Dead Man
- Crimes of Opportunity
- Pattern of Force
- Route 666
- Three Years of Goddamn
- Iraq's Hutu Radio
- Signs and wonders
- The King of Terror
- The Lone Conmen
- Carry on Killing
- "Must I paint you a picture?"
- Mission accomplished. Really.
- Sgrena's car shot from behind
- The Anti-War Institution
- The Benefit of the Dumb
- "The Military Is Investigating the Incident"
- "And You, the Nations, Why Are You Silent?"
- The Fallujah Ghetto
- About Margaret Hassan
- Big Wedding, Long Honeymoon
- A White Rose for Fallujah
- Iraq against the Grain
- Iraq, Negroponte Style
*Katrina*- The Ballad of Finis Shelnutt
- My baby needs a shepherd
- Category 911
- Drowning by Numbers
- Series of Dreams
- The Last Refuge
- New Orleans, Year Zero
- Army Times: "Troops begin combat operations in New Orleans"
- Because they can
- Ring Them Bells
- Helter Skelter
- President Death
- Catastrophic success
- Crash on the levee
*Michael Meiring*- A Person of Non-Interest
- "You Will Know My Power Then"
- Davao City Bomber Michael Meiring Reported in Houston
- Michael Meiring: Blast from the Past
*The Military-Occult Complex, ritual abuse/mind control, and "High Weirdness"*- The Shock of Awe (Part Two)
- The Chapel of Baby Rose
- The Shock of Awe (Part One)
- Are You Being Served?
- We Are Family
- Under the Red Sky
- Yesterday's Papers
- The Demon Was an Idea (Part Two)
- The Demon Was an Idea (Part One)
- "Do You See What I See?"
- "When Twilight Dims the Sky Above"
- Unconscious Kingdom (Part Two)
- Unconcious Kingdom (Part One)
- Necromancy (Part Two)
- Necromocracy (Part One)
- Fight the Real Enemy
- Slaughterhouse 5.0
- To Know Better
- Born in Time (Part Two)
- Born in Time (Part One)
- Lambs to the Marketplace
- Gosch, Again
- The Clown at Midnight
- "Why are they doing this?"
- Confessions of an Economic Shapeshifter
- NoBorderland
- Single Pervert Theory
- The Predator Class (Part Two)
- The Predator Class (Part One)
- Arcadian Fields Forever
- "Meanwhile, far away, in another part of town"
- Simon Says
- Planet of Lost Children (Part One)
- Chant Down Babylon
- Mind over Mind
- Snakes in the Head
- Suspicious Minds
- The Red, White and Gray (Part Two)
- The Red, White and Gray (Part One)
- The Devil You Know (Part Two)
- The Devil You Know (Part One)
- In the Air
- What Dreams May Come
- Egg Hunt
- The Body Eclectic (Part Two)
- Fool Me Once
- The Body Eclectic (Part One)
- Jackson 5.0
- Life and Life Only
- "Grave Mysteries" (Part Two)
- What Lies Beneath
- "Grave Mysteries" (Part One)
- The gods must be crazy
- There Is No More Firmament
- "No man sees my face and lives"
- Full Spectral Dominance (Part Two)
- Solitary monsters
- Full Spectral Dominance (Part One)
- Space Cadets
- Bad Medicine (Part Two)
- Estimate of the Situation
- Bad Medicine (Part One)
- Down the Scole Hole
- Distractions, or something else?
- "I wish that hadn't happened"
- Spirit of the Beehive
- "And your little dog, too"
- Correspondence and sanctuary (Part Two)
- Correspondence and sanctuary (Part One)
- The Fearless Vampire Killers
- Weird Tales
- Carlucci's spellcheck
- The Higher Coincidence
- American Leviathan (Part Two)
- American Leviathan (Part One)
- Look out, kid
- Pimp My Scooter
- The Top of My Head
- Into the black
- If you go out in the woods
- Shadows and Fog
- It's all in your mind
- Phantoms, Daemons and Finders
- "Birth pangs of a new order"
- "Before the apex stone is fitted"
- The Colour out of Space
- Bill Bennett and the Great White Brotherhood
- "You can't go home again"
- "Did I just say that out loud?"
- What do kids know?
- On the job, on the square
- The Liminal State of the Nation
- Nine Angles of Separation
- Doom Days
- Seeing things, saying things
- Who's screening who?
- The Mystery Man
- "liberate tutemae"
- It's enough to make you paranoid
- Interview with Jackie McGauley (Part Two)
- MI5 and the Welsh paedophile ring
- How big is your rabbit hole?
- Interview with Jackie McGauley (Part One)
- Fireworks and Inaugurations
- Last exit to Ponchatoula
- Interview with Kathleen Sullivan (Part 4)
- The Firm
- Bless the beasts and children
- Far Away, So Close
- Don't worry, it's just the news
- "Hope you guess my name"
- America's Dog Star Days
- Latter Day Sinners
- "A working class hero is something to be"
- A tale of two prophets
- Dunblane update: Police involved in paedophile ring
- Debunking and debugging
- A few good mind-controlled men?
- No time to think
- "Prophet Yahweh" stands and delivers?
- Gosch case implicates CIA, US officials: Iowa TV
- That which survives
- Who shall I say is calling?
- "A moment of weakness and temporary insanity"
- "No Way!" and "Yeah - so what?"
- Eye of Horus, Part One
- Dark horse and dead cattle
- "From beyond the stars"
- The sheep look up
- Welcome back to Atlanta
- Babyland
- The Black Lodge, Part Two
- The Black Lodge, Part One
- Walpurgisnacht
- The Candy Man Did
- Same as it ever was
- "Some people call me Maurice"
- "Knowing I live in a dark age
- Back to the Presidio
- "It's all in the egg"
- Noreen Gosch: "If this is it, we're in the final days."
- What's up is down. What isn't, is.
- Don't look now
- "It looks more like a war zone"
- Who done it?
- "She was always surprised they never found those bodies..."
- Henry: Portrait of a Bush supporter
- Is it the future yet?
- "This latest maniac"
- It's all about "them"
- The Art of the Lab Room Floor
- The "Day of Declaration"
- The Banality of the Weird
- Interview with Kathleen Sullivan (Part Three)
- Interview with Kathleen Sullivan (Part Two)
- Jeff Gannon's Inner Child?
- The Going Got Weird
- The Great Satan
- Interview with Kathleen Sullivan (Part One)
- Crazy Yes. But Crazy Enough to Be True?
- America's Condition Greene
- Stirring the White House Honey Pot
- Hell, Frozen Over
- The Occult History of the National Security State
- Things to Come: the Merlin Project
- "Enter into Evil"
- From MindWar to FoxNews
- Dick Cheney's Other Big Secret
- Why Do People Say such Terrible Things about the Bush Family?
*Miscellaneous*- The Awful Truth
- I'm blogging as fast as I can
- Update Coming
- Blog, Interrupted
- Open Thread
- Snow Day
- Radio, Radio
- Getting Wired
- New Forum Open
- Moving Day
- Nearly There
- Under the Weather
- Housekeeping
- Mending
- Open Thread (Sept 29 06)
- Holding Pattern
- All Work and No Play
- Open Thread (Aug 14 06)
- Open Thread (Aug 9 06)
- Operators Are Standing By
- Open Thread (July 31 06)
- Open Thread (June 30 06)
- Catch Vampire
- Emergency Broadcast System
- Time for an appeal, here
- Just resting my eyes
- Apologies
- Please stand by
- RI Radio, and thanks
- Sad and Lonesome Day
- American allegory
- Shop now open
- Not exactly as illustrated
- In the summertime
- Forum update
- Discussion board now open
- An appeal
- "You poor take courage, you rich take care"
- The Smoking Scalp?
- Greetings, Military Industrialists
- Unholy Mess Brewing on the Temple Mount
- Whose Freedom Is It, Anyway?
- Things to Come
- The AWOL Opposition
- Interview
*Sun Myung Moon*- Moonshadow
- Brother's Love's Travelling Salvation Show
- Carrying Moon's Water
- Full Moon
- Heavenly Deception
- The Life and Moonie Times of George HW Bush
*The "War on Terror"*- Time Bomb
- Duck's Head Soup
- Crimes of Aspiration
- Freewheelin'
- The Confusion of Tongues
- Abaddon
- Why They Fight
- The Game of Terror
- The steam is turned on
- There's a Law
- Pearl of great price
- One of These Things Is Not Like the Other
- Dirty Job, Clean Hands
- Cheerleader of the Free World
- Anschluss Creep
- Accidentally Like a Martyr
- Sounds like "Terror"
- Freedom's Just Another Word for "Oil"
- MI5 Asset in Gitmo?
- "The Board Is Set, the Pieces Are Moving"
- America: All Science, No Fiction
- You Couldn't Make this Stuff Up. But Someone Does.
- Believe Nothing
- The Skinny on Osama
- The Next Attack
- Putin Antes Up
*Venezuela*- A multitude of sins
- Whose hemisphere is it anyway?
- Presidente Quioxte
- Strike a Blow Against the Empire
- Exceptional Hypocrisy
- "Impunity Until When?"

*9/11 and the "War on Terror"*- 9/11 Citizens' Watch
- 911 Truth.org
- 9-11 Visibility Project
- Center for Cooperative Research
- Centre for Research on Globalization
- From the Wilderness
- Sander Hicks
- Daniel Hopsicker
- Oil Empire
- Unanswered Questions
- What Really Happened
*Alternative analysis*- Alternet
- Bella Ciao
- The Black Commentator
- Counterpunch
- The Crisis Papers
- Iraq Occupation Watch
- The Memory Hole
- Online Journal
- Progressive Independent
- Refuser Solidarity Network
- Theocracy Watch
- Third World Traveler
- Tom Paine
- Yurica Report
- ZNet
*Alternative news*- Buzzflash
- Canadian Spectator
- Common Dreams
- Guerrilla News Network
- Information Clearing House
- INN World Report
- The Narco News Bulletin
*Blogs*- Another Day in the Empire
- Baghdad Burning
- Billmon's Whiskey Bar
- Tim Boucher, Occult Investigator
- Covert History Blog
- Crimes of the State
- Cryptogon
- Dahr Jamail's Iraq Dispatches
- Deconsumption
- Dream's End
- Ductape Fatwa
- earthfamilyalpha
- Fantastic Planet
- Flogging the Simian
- Free Iraq
- Humint Events Online
- I Approve this Messiah
- Know your BFEE
- Naked Wisdom
- Notes from Beyond the Pale
- Pissed Off Cabbie
- Ran Prieur
- Professor Pan
- Professor Hex
- Real History Blog
- Stratego
- The Tyranny Response Unit
- Weird Events
- The Whispering Campaign
- xymphora
- Youngfox Canada
*Climate change*- Climate Ark
- Pew Center on Global Climate Change
- Real Climate
*Columnists, authors and pundits*- Gwynne Dyer
- Robert Fisk
- Eric Margolis
- George Monbiot
- Greg Palast
- John Pilger
- Ted Rall
- James Wolcott
*Deep Politics*- Assassination Science
- Mae Brussell
- Citizens for Truth about the Kennedy Assassination
- Consortiumnews
- Alex Constantine
- Cryptome
- Deep Black Lies
- Dave Emory
- JFK Lancer
- John Judge
- King conspiracy trial transcripts
- The Last Circle
- Mind Control Forums
- The Monkey Virus
- Parapolitics
- Real History Archives
- Reopen the RFK assassination case
- Peter Dale Scott
- Where Is the Money?
*Forums*- Democratic Underground
- Progressive Independent
- rabble.ca
*High Weirdness*- Richard Dolan
- Entemenaki
- Half Past Human
- Linda Moulton Howe's Earthfiles
- Humanoid Sightings Database
- Illuminati Conspiracy Archive
- J Allen Hynek Center for UFO Studies
- The Konformist
- MUFON
- National Institute for Discovery Science
- NUFORC
- Saucer Smear
- The Book of Thoth
- The Trickster and the Paranormal
- UFO Watchdog
*Mind Control and Ritual Abuse*- Advisory Committee on Human Radiation Experiments, 1995 Hearings
- Advocacy Committee for Human Experimentation, Survivors & Mind Control
- The Art of Lynn Schirmer
- CKLN-FM Mind Control Series
- Mind Justice
- MKzine
- MKULTRA documents
- Persons Against Ritual Abuse and Torture
- SMART Ritual Abuse Newsletter
- Kathleen Sullivan
*Peak Oil and Industrial Collapse*- Association for the Study of Peak Oil
- Colin Campbell
- Die Off
- Dry Dipstick
- Richard Heinberg
- Hubbert Peak
- In the Wake
- Life after the oil crash
*Resistance artists*- Akira the Don
- Anti-war hip hop
- The Compassionate Conservatives
- Del Canton
- Funk Space
- Guerilla Funk
- Immortal Technique
- John McCutcheon
- Paranoid Larry
- Robb Johnson
- Protest Records
- David Rovics
- Seize the Day
- Stephen Smith
- "The World Turned Upside Down"

## 36 Comments:

Happy Holidays, Jeff. Get healthy for Pete's sake.

Love,

yer old pal Jerky

www.dirtfiles.com

Blessings, Peace and Love to all

For you all

Patty Griffin - Mary

I heard this first at the end of the film 'The Ground Truth' which is well worth seeing.

Joy for all

May the New Year see you well!

Good to hear it, Jeff. Best wishes to you and the family.

Happiness to all :).

Very cool song sung by that lady.

Love and light and happiness all around, Jeff.

Peace,

PP

I really liked that video. The lady radiates love for her husband, the guy to her right.

'Tis the Season:

http://welcome-to-pottersville.blogspot.com/2007/12/dubya-bush-superstar.html

Hey Jeff,

Here's something for you for Christmas, along the lines of Ms. Dement's tune, and because I feel bad for calling you a schill in re to WTC 7... (I know you'll come around on that one, eventually ;-)

"At first, this Earth, a stage so gloomed with woe

You all but sicken at the shifting scenes.

And yet be patient. Our Playwright may show

In some fifth Act what this Wild Drama means."

-Tennyson

ps I've decided butch pederasts run the world.. check out The Pink Swastika, homophobia and all, for a well researched foray into Nazi homo-occultism...

Happy Holidays!

Anonymous One,hey why don't we all meet up for a drink at "Himler's Castle",you know where he planned for the "Center Of The World".Some how this always points back in the Nazi camp,by the way I just love the photo with the little baby uberchild,later.

Merry Crimbo to all, get well soon...

Equal-tempered tuned instrument? watch-out! I just sent the below to math professor Joe Mazur from the http://mind-energy.net link:

Against Archytas: How the West Lost Alchemy or Paranormal Complimentary Opposite Harmonics

by drew hempel, MA

(anti-copyright, free distribution)

The early Greek mathematics used the 60-based number system of Babylon from which Archytas, a collaborator with Plato, received the harmonic tetrachord or the continued proportion 6:8::9:12. This tetrachord creates a geometric mean between the octave, perfect fourth and perfect fifth music intervals, or 1:2:3:4, through “divide and average” logarithmic-based mathematics. So 6:8 and 9:12 are in the continued proportion 3:4, the perfect fourth music interval, while 6:9 and 8:12 are 2:3, the perfect fifth music interval, and 6:12 is 1:2, the octave. The geometric mean is A:B::B:C or B squared = AC or the square root of AC = B. What Archytas added to this Babylon “divide and average” harmonic mathematics was the concept of the Greek “incommensurable” – the algebraic axiomatic proof of “alogon” or a precise irrational number, the square root of two. This process ushered in what’s called “The Greek Miracle” that continues to be the structure of science: symmetry-based mathematics.

Instead of the above system, the alchemical Pythagorean Tetrad relies on complimentary opposite harmonics so that an equilateral triangle of geometric points equals the continued proportion 1:2:3:4 as the octave, perfect fifth and perfect fourth music intervals. In “orthodox” Pythagorean harmonics this was known as the “subcontrary mean” whereby the complimentary opposites of the Tetrad were maintained in violation of “divide and average” mathematics. So for the Tetrad A:B is 2:3 and B:A is 3:4 against the commutative property, A x B = B x A. In music theory this complimentary opposite inversion of the perfect fifth and perfect fourth is taught as 2:3 is C to G while 3:4 is G to C. This process of complimentary opposites is listened to, as the perfect fifth, perfect fourth harmonics, which create all the notes. Most importantly the complimentary opposite harmonics transduces sound throughout the whole energy spectrum, as I’ve described in previous articles..

Philolaus, one of the early Pythagorean writers, detailed that this “subcontrary mean” or complimentary opposite harmonic caused any attempt at subdividing the scale into symmetry as a failure. In contrast Archytas changed the “subcontrary” complimentary opposite mean into the “harmonic mean” using “divide and average” mathematics. The outcome has precisely opposite the meaning of “harmony” which for Pythagoreans referred to the paranormal source of sound as the Goddess Harmonia or what I call female formless awareness. For Philolaus the perfect fifth as 2:3 could be inverted to 3:2 and then extended another fifth to 9:4 and then divided back into the octave, below 2, for the major second interval of 9:8 or C to D. Yet 9:8 cubed or three major second music intervals equaled the 3:2 perfect fifth music interval, plus a tiny ratio called “the comma of Pythagoras.”

This “comma of Pythagoras” is the difference between the “divide and average” octave system adopted by Archytas and the complimentary opposite fifths inverting into fourths, used by the orthodox Pythagoreans. The “comma of Pythagoras” is the key to harmonic alchemy whereby 2:3, the perfect fifth, is yang in Taoism and 3:4, the perfect fourth, is yin. As Gurdjieff desribes the “shock” of the diatonic scale, whereby the “inverse ratios” do not line up with the octaves, is intensified as the octaves expand. In contrast Archytas argued that 9/8 cubed or three major second intervals equals the square root of two as the Greek Miracle, the axiomatic algebra of the precise incommensurable irrational number. What Archtyas essentially did, as I’ll describe, is equate the perfect 5th or 2:3 with the perfect 4th or 3:4 as equally-divided or symmetric ratios through a “divide and average” mathematics.

Archytas took the Babylonian geometric mean of 6:8::9:12 used for harmonics and then applied the Pythagorean Tetrad 1:2:3:4 so that the 2:3 ratio of complimetary opposite frequency was converted to 3:2 as a materialistic vibrating string length. This became known as the Law of Pythagoras even though it goes against the true meaning of the complimentary opposites when this “inverse ratio” is combined with the “divide and average” commutative property. Gurdjieff, for example, still relies on the “inverse ratio” of density or string length versus frequency or consciousness. But Gurdjieff does not use Archytas’ “divide and average” symmetric-based mathematics, instead Gurdjieff relies on the Law of Three aka the Tetrad, or octave-fifth-fourth, to resonate through the comma of Pythagoras as the “shocks” of alchemy. In Taoism this system of alchemical shocks is taught as the 12 harmonic nodes along the outside of the body, enabling healing and paranormal energy, an exercise called “the small universe.”

The equation used by Archtyas, from Babylon, was arthimetic mean times harmonic mean = geometric mean squared. For the Pythagorean Tetrad this means if A = 1 and C = 2, the octave, then B = 3/2 for the arithmetic mean (A + C divided by 2) and B = 4/3 for the harmonic mean or 2(AC) divided by A + C. Meanwhile B = the square root of two for the geometric mean or the arithmetic mean times the harmonic mean equals the geometric mean squared (3/2×4/3 = 2).

The error that Archytas makes is ignoring the “comma of Pythagoras” arising from complimentary opposites harmonics so that the square root of two is equated with 3/2 through the “divide and average” converging sequence. The square root of two is greater then one and less than two which can be solved through the “divide and average” geometric-based continued fraction series of (1 + a)squared = 1 + 2a + a squared. 2a + a squared = 1. Or a(2 + a)=1. Therefore a = 1 divided by 2 + a. Then just keep replacing “a” with “1 divided by 2 + a” for an infinite series that converges as the square root of two. The first iteration is 1 + 1/2 or the approximate series solution, 3/2 = the square root of two.

It needs to be emphasized that the square root of two is actually a “transcendental” number although this is only acknowledged in number theory and not in standard math. There is no positive proof demonstrating that the hypotenuse of the 1-1 triangle equals the algebraic symbol the square root of two since there’s no algebric equation demonstrating the square root of two, only an infinite algebraic series that is not a closed set. Most people just learn the geometric proof for the square root of two, demonstrating a “proof by contradiction,” which simply states that the ratios are not rational, but it does not consider other options for the ratios, especially the case of diverging complimentary opposite harmonics.

In contrast music theory, based on logical inference, uses listening to complimentary opposites, 1:2:3:4, as proof that the foundation of reality is female consciousness with the male number 1 as an infinite resonance creating an octave, 1/2, that expands in frequency through the perfect fifth or 2:3 or yang, inverting to the perfect fourth or 3:4 as yin. In western music theory this is taught as the “circle of fifths” so that the perfect fifth or 2:3 starts with C to G then continues to finish the octave C through the 12 notes of the scale. C-G-D-A-E-B-F#-C#-G#-D#-A#-F-C. This return back to “C” again ignores the empirical fact that the perfect fifth overtone inverts into the perfect fourth interval – through complimentary opposites, a dynamic that can be heard in music. So if you have a string marked into 1/2, 1, 3/2 and 2, a node at 3/2 actually is 3/4 of the string. Or you could start the string with zero, and again a node at 2/3 is 3/4 of the string. Similarly a node at 3/4 is 2/3 of the string. What’s important is the yin-yang dynamic of this complimentary opposite harmonic thereby creating alchemy.

In other words there’s a complimentary opposite between the nodes and the numbers which can be heard as harmonious. For this reason that musical “inverse induction” extension of the perfect fifths does not line up with the the extension of the octaves and this difference is called the “comma of Pythagoras.” In Nature there is no “circle of fifths,” but rather an infinite spiral of energy transduction that starts and ends with the male number one resonating as a complimentary opposite into female formless awareness and then resonating out as the perfect fifth harmonic which inverts as the perfect fourth to pull back to one and then, through its complimentary opposite – female formless awareness. This process continues as resonance overtones, just as Dennis Gabor’s Quantum Time-Frequency Uncertainty Principle describes: As the time gets less the frequency spreads across the whole energy spectrum. It’s no accident that in quantum mechanics the commutative property is also violated with momentum times position not equaling position times momentum – only in science this is converted back into symmetric-based math using logarithms. Quantum physicist Henry P. Stapp makes this paradox of Number and Order central to the mystery of consciousness in quantum mechanics.

The Golden Ratio also does not converge geometrically, unless, like the perfect fifth music interval, 2:3, the order of the Fibonacci number series is reversed so that there is symmetry between zero and one, using the “divide and average” commutative property. In the converging series expansion the continued proportion A:B::B:A + B of the Fibonacci series, 1, 2, 3, 5, 8, 13 is reversed to A:B::B:A-B so that A(A – B) gives a positive solution for geometric convergence. What this means, again, in terms of music is that the frequency ratios of 4:5, the major third, and 5:8, the minor sixth have to be reversed to materialistic string length as 5:4, the cube root of two, and 8:5, an approximation for the golden ratio and also the cube root of four. Kepler used this Golden Ratio as the 3:5 music harmonic to combine it with 5:4, the major third, in order to justify his elliptical orbit analysis. Similarly Newton’s inverse square law of gravity was derived from his application of Archytas’ symmetry-based logic so that it takes four times the weight on the end of a string to increase the tension to twice the string’s frequency. Not until the 1960s did the Philosophical Transactions of the Royal Society of London publish this newly discovered Pythagorean-based source for Newton’s gravity.

I discovered that Archytas’ proof for precisely doubling the cube, his most famous equation, relies on this secret harmonic conversion of ratios into irrationals. Up until now, only a geometric magnitude proof is given for doubling the cube so that A:X::Y:2A refers to X being the side length of the cube that needs to be doubled while the volume as 2A needs to be cubed with the geometric mean equation as 1:2::4:8. The original side length equation is 1:cube root of two::cube root of four:2. In fact these geometric mean ratios are from music harmonics as the major third and its inverse, the minor sixth or Golden Ratio, giving 1:5/4::8/5:2. None of the mathematicians have been able to make this connection to Archytas’ conversion of the 2:3, perfect fifth music interval, for this “doubling the cube” proof that creates the Greek Miracle – an axiom for an irrational number. David Fowler’s Mathematics of Plato’s Academy book certainly acknowledges the mystery of the music ratios origin for Archtyas’ doubling the cube proof. Other mathematicians, like Professor Luigi Borzacchini, with whom I’ve corresponded, have certainly pondered the math-music incommensurability issue.

And so again the continued proportion proof for the square root of two in its first iteration gives the value 1 + 1/2 or 3/2 = the square root of two which is what Archytas relied on. This same proof is tested by squaring both sides so that 9/4 = 2 (a first iteration in the series) or algebraically y squared + or – 1 divided by x squared = 2. In the geometric mean proof, also used for the Golden Ratio, AC = B squared or N = x(x-1). This also converts back to the Babylonian geometric mean equation so that 6:8::9:12. Because 9/4 = 2, as the first iteration of the square root of two series, this is actually based on the Tetrad harmonics of 3/2 squared which must be divided back into the octave, less than two, as 9/8, the major second interval. Or again Archytas combined the complimentary opposite harmonics of 1:2:3:4 into the geometric mean 6:8::9:12 for an algebraic solution to the square root of two with the iteration of 3:2. So the geometric mean became paradoxically 1:8::9:2 or 1:2 cubed::3 squared:2 but the order is reversed to 9/8 since it’s a materialist string length, and not just frequency ratios. In terms of the geometric mean for doubling the cube we can see that 5/4 is just 9/8 as two major second intervals or 10/8 reduced to 5/4, now justified as the cube root of two as the major third while the minor sixth, as 8:5, is just the half and then inverted.

Again Archytas’ use of “just tuning” diatonic ratios, also used by Gurdjieff, such as 9:8, 3:5, and 5:4 were solely due to Archtyas’ conversion of 2:3:4 as complimentary opposites into the “divide and average” symmetry or the arithmetic mean. So 2:3 became 3:2 from A + C divided by 2 = B with A = 1 and C = 2 as the octave. This conversion of the complimentary opposite Tetrad perfect fifth of 2:3 into 3:2, as an arithmetic mean, then could be doubled, 9/4, and inverted back into the octave as 9/8, the major second interval and then converted to the geometric mean as three major second intervals or the square root of two also known as the “Devil’s Interval,” the tritone – C to F#.

An easier way to understand this is described on this physics website: http://hypertextbook.com/physics/waves/music/

“Solution …

The ratio of the diagonal of a square to a side is √2:1. (Galileo stated the order of the ratio the other way around, but this is a minor detail.) Each half step (a semitone) up the equal tempered scale multiplies the previous note by the twelfth root of two, two half steps (a whole tone) multiplies the note by the twelfth root of two squared, three half steps by the twelfth root of two cubed, and so on …

1 semitone minor second 12√2 12√2

2 semitones = 1 tone (whole tone) major second 12√2 12√2 6√2

3 semitones minor third 12√2 12√2 12√2 4√2

4 semitones = 2 tones (ditone) major third 12√2 12√2 12√2 12√2 3√2

5 semitones perfect fourth 12√2 12√2 12√2 12√2 12√2 2.4√2

6 semitones = 3 tones (tritone) augmented fourth 12√2 12√2 12√2 12√2 12√2 12√2 2√2

Six semitones is equal to the twelfth root of two to the sixth power, which is equal to the square root of two. This interval is called a tritone, an augmented fourth, or a diminished fifth; for example, C and F♯ (G♭) or F and B. Had I given you a more complete quote from Galileo you would have already known this.”

In orthodox Pythagoreanism this use of an attempt to equal-temper the scale into 12 fifths, using the 9/8 ratio as the geometric mean, would not have been allowed since it enables setting up a quadratic equation based on the commutative property and the Pythagorean Theorem. A square x B squared = C squared was always averaged in other mathematic systems but now it could be combined with zero to create a geometric convergence as an irrational number – the Greek Miracle based on a deep disharmony. The complimentary opposite harmonics which naturally resonate as yin-yang dynamics have now been destroyed. Even supersymmetry is just an extension of what Professor Oliver Reiser called “the music logarithmic spiral” so that mass squared is inversely proportional to energy frequency distance, as detailed by physics professor Gordon Kane.

There is no pure science. Archytas’ “doubling the of cube” miracle was used for catapult technololgy while Newton’s “inverse square law” from Archytas’ geometric mean analysis has been the key for all projectile military technology just as Galileo’s Pythaogorean math was used for cannons.

What enabled Archytas to ignore the “comma of Pythagoras” which in alchemy creates an infinite resonance of energy through complimentary opposites was the vast difference of error between the Golden Ratio, the slowest converging irrational number and the square root of two series. So that the inversion of 5:8 into 8:5 for both string length use (instead of frequency) and for use of the quadratic zero, geometric convergence, does not greatly affect the harmonic series accuracy. It’s inverse is the conversion of 5/4 or 10/8 into the cube root of two. This is the true secret of the Greek Miracle – combining the Brahmin cipher system of the commutative property, using zero, with Babylon’s equation of the arithmetic mean times harmonic mean equaling the geometric mean squared. Eudoxus simply extended Archtyas’ use of the harmonic mean so that it could be applied as the Golden Ratio mean. As the book Excursions into Number Theory notes: “For instance, 99/70, the sixth convergent of square root of two, differs from square root of two by .000072; but 13/8, the sixth convergence of the Golden Ratio, differs from the Golden Ratio by .0070, showing an error nearly 100 times as large.” (p. 134)

In conclusion – mathematicians have never been able to figure out why the ratio 2/3 was sacred in Egypt. Now you know the secret – or at least to what extent complimentary opposite alchemical harmonics have been covered up.

Happy holidays!

Looking forward to your next post Jeff, but don't feel stressed about getting stuff done. Your blog was my favorite from the start, and always will be, and everyone here would agree :)

Love and Light!

Hey Jeff I ate 3 BULBS of garlic in 12 hours -- it completely destroyed the flu! I also did the below following research as a follow up to the article you posted. Thanks and happy holidays.

"How Birds Sing" by Crawford H. Greenewalt, Scientific American, Nov., 1969 has the secret of "positive coupling" so that an increase in membrane tension increases frequency but also retracts the membrane from the air tube thereby increasing amplitude.

A normal resonant chamber has an exponential decrease in amplitude as harmonics increase exponentially with increase in tension or string length inverse to frequency.

The secret again is waveform with it being a pyramid, tetrahedron, spirochete, vortex or full-lotus body position, that must be measured from logical inference complimentary opposites.

For Descartes a body thrown up vertically with twice the velocity takes twice the time to descend. This is force(t) = momentum x velocity. To convert this back to Archtyas -- mass = the square

root of momentum x velocity just as string length or geometric mean equals the square root of arithmetic mean times harmonic mean.

Leibniz used work as Fs = mv(squared) divided by two -- which is equating arithmetic mean with harmonic mean as an average.

So, like the secret of bird song, this also is a

"positive coupling" because normally the Law of Pythagoras

states that twice the string length = 1/2 the

frequency. So the longer the string the lower the

frequency, as an inverse ratio.

The secret of Archytas was that geometric mean changes

the harmonic mean to arithmetic by using WEIGHT for

geometric mean and in classical physics this means

momentum and velocity HIDE the complimentary opposites

because weight is the average of the extremes. So

twice the velocity is Archytas' "twice the string

length" or 3/2 (Arithmetic Mean) x 4/3 (Harmonic Mean)

= 2 which also means 1/2 the frequency.

But since it's also geometric mean squared the same

new "positive coupling" creates an increase in

string length as momentum or amplitude and an

increase in frequency NOW AS TENSION from weight.

This is where Newton got his "inverse square law"

with 4 times the weight (or pressure) stretching

the string length to twice the frequency, again

in contrast to the law of Pythagoras stating that

twice the string length would be half the frequency.

What Einstein did was just consider that at the speed of light the change in velocity (c) now just converges

at its own maximum (so it's c squared) while the

weight or momentum changes as mass.

Again Einstein is relying on mass which was originally weight

as frequency turned into amplitude as string length --

the concepts combined as geometric mean to create mass

while the concept of complimentary opposites was lost.

But the "positive coupling" of natural resonance whereby

subharmonics of frequency create a significant increase

in amplitude, as biology professor Brian Goodwin

details in his "Temporal Order of Cells" book, indicates

not the use of weight as mass, with geometric mean,

but instead the change of wave-form with nonlinear

feedback that actually diverges to consciousness

or what some biologists call "sound-pictures." This

positive coupling, instead of being based on weight,

is simply using the complimentary opposite harmonics

and is modeled in science as the Time-Frequency

Uncertainty Principle.

Great Galactic Gasshole, you really are a colossal

................

crashing................

bore. Go Away. DIE!!!

GGG: if you're going to make brash claims you should at least be more careful about your wording.

Sqrt(2) is not transcendental. Transcendental means that it is not algebraic which means that it is not the root of any polynomial with algebraic (integer, rational) coefficients.

If you are asserting that sqrt(2) fails that test could you solve

x^2=2

for me?

If you mean it doesn't have a closed form you could just say that. But thats not very glamorous considering NO irrational numbers do

to G.G.G. ...

but ... can you hum it ...? does it groove ...? "Shruti Mata, laya Pita" as they say in India !!

Jeff, good luck & get well ... garlic's a plus but so is warm brandy & aspirin, MOSTLY; rest!

Happy New Year to all ...

AD

A Short Quote from Satan to his Legions: "Don't worry, folks, it's all downhill from here."

The Book of Tobacco, Chapter 13, Verse 39

Jeff,

Never posted here before, but Happy Holidays/Merry Christmas/Happy New Year, and I hope you feel better.

Thank you for this- I've heard of this lady but never heard her before and this song is what I needed to lift me out the slump I've been in these last few weeks; thanks for the Christmas present- you did this for me last year too, with "A Fairy Tale of New York". She looks down-to-earth kissable and cuddly; keep you warm on these long nights, eh?

Also, if you run short of verbiage in the comments I have a 200-odd-page PDF on fiber LAN networking from Corning I've been wading through with lots and lots of paragraphs and things, just what's needed to fluff everything out on a slow day and keep everyone's scrolling fingers exercised. Lemme know if you need any of it ;-).

Peace

Happy yule and a benevolent solar year, Jeff

Hey Jeff,

I have not visited in a while because of work but will always come back for more. Although I question some of your positions I fully appreciate the way you write them, truly a given talent.

I wish you and your family the best for 2008, as well as other bloggers on the boards.

Yep my hips as LOOSE and I listen to Anuradha Paudwal all night long.

Here's the paper you'd need to read on the square root of two:

Philosophy (1999), 74: 169-176 Cambridge University Press

Copyright © The Royal Institute of Philosophy 1999

Published online by Cambridge University Press 04Apr2001

Did the Greeks Discover the Irrationals?

Philip Hugly and Charles Sayward

Abstract

A popular view is that the great discovery of Pythagoras was that there are irrational numbers, e.g., the positive square root of two. Against this it is argued that mathematics and geometry, together with their applications, do not show that there are irrational numbers or compel assent to that proposition.

Late breaking news:

http://www.washingtonpost.com/wp-dyn/content/article/2007/12/29/AR2007122901476.html

Excerpt:

New York Mayor Michael R. Bloomberg, a potential independent candidate for president, has scheduled a meeting next week with a dozen leading Democrats and Republicans, who will join him in challenging the major-party contenders to spell out their plans for forming a "government of national unity" to end the gridlock in Washington.

Those who will be at the Jan. 7 session at the University of Oklahoma say that if the likely nominees of the two parties do not pledge to "go beyond tokenism" in building an administration that seeks national consensus, they will be prepared to back Bloomberg or someone else in a third-party campaign for president.

Conveners of the meeting include such prominent Democrats as former senators Sam Nunn (Ga.), Charles S. Robb (Va.) and David L. Boren (Okla.), and former presidential candidate Gary Hart. Republican organizers include Sen. Chuck Hagel (Neb.), former party chairman Bill Brock, former senator John Danforth (Mo.) and former New Jersey governor Christine Todd Whitman.

Boren, who will host the meeting at the university, where he is president, said: "It is not a gathering to urge any one person to run for president or to say there necessarily ought to be an independent option. But if we don't see a refocusing of the campaign on a bipartisan approach, I would feel I would want to encourage an independent candidacy."

The list of acceptances suggests that the group could muster the financial and political firepower to make the threat of such a candidacy real. Others who have indicated that they plan to attend the one-day session include William S. Cohen, a former Republican senator from Maine and defense secretary in the Clinton administration; Alan Dixon, a former Democratic senator from Illinois; Bob Graham, a former Democratic senator from Florida; Jim Leach, a former Republican congressman from Iowa; Susan Eisenhower, a political consultant and granddaughter of former president Dwight D. Eisenhower; David Abshire, president of the Center for the Study of the Presidency; and Edward Perkins, a former U.S. ambassador to the United Nations.

My word verification was "wawewjba" (looks kinda Jewish, don't it? or rather, a "goyish" way to say "jewish", or something)

IC

A thought for you - how's the shoulder, man? Rest up and all best wishes for the next stretch.

Looking forward to reading you again soon.

Here's to your health!

Jeff, after all these years I never had a chance to say thanks for the link that STILL points to my old writings.

You date to enter where others fear to treat. Even if many of us readers rarely "decloak" to express our support, it IS there.

Pax

can someone verify for me whether that is standard kentucky bluegrass?

It seems to me to epitomize the highest virtues for which mankind is designed and may aspire to.

However, due to hearing impairment, while I can hear the music, I cannot understand any of the words.

GGG

could you possibly summarize the article on the sqrt(2)? I can only find page one available without paying some crazy amount for the 8 page article

thanks, very interested

A transcendental number is a number that can not be solved in an algebraic equation. The essay "Did the Greeks Discover the Irrational?" (1999) by Professors Hugly and Sayward argues that the square root of two is NOT solved as an algebraic equation -- specifically that while it's proven there's no rational number, this is not an algebraic proof for a positive number called "the square root of two." In other words the answer to their title "Did the Greeks Discover the Irrational?" is NO and no one else has as well. This is why Bertrand Russell called the square root of two a "convenient fiction." Or to put it another way it's proven, by contradiction, that there's no ratio of phonetic letters, based on the commutative principle, for the hypotenuse of a 1-1 triangle. That is also the definition of a transcendental number -- that there is no algebraic equation demonstrating the existence of the square root of two. I already gave an earlier source discussing the transcendental value of the square root of two -- the book "Enquiries In Number Theory."

The real clincher for this complimentary opposites argument is Simon Stevin's 17th C. conversion of Archytas' diatonic scale into equal-tempered tuning. Stevin relied on the octave defined as a starting value of 5000 with it's "double" as 10,000. Stevin then argues that half of the octave is the square root, or the tritone and so a third of the octave, or two major second intervals, the major third, is therefore a cube root of two.

This fully accepted modern basis for equal-tempered tuning -- that which is considered to be the truth -- is directly from Archytas' proof for doubling the cube, namely that if a cube has a side one then to double the volume to two, the side must be cube root of two with the proportion 1:5/4::8/5:2. That's the exact equation Simon Stevin used -- only converted to logarithmics.

As I discussed in my article above and in my previous blogbook chapter, the subject of several emails from math professor Joe Mazur, Archytas' source for the cube root of two is from Babylon's use of the equation, arithmetic mean x harmonic mean = geometric mean squared.

So again Stevin ASSUMES the value of the cube root of two without discussing the ORIGINS of the square root of two and all this time no one has questioned that fact that the arithmetic mean x harmonic mean equation Archytas relied on to create geometric mean is based on the octave, not as a doubled value, but as a SQUARED valued.

Again having arithmetic mean 3/2 x harmonic mean 4/3 = 2 with 2 as geometric mean squared so that 3/2 x 3/2 = 9/4, the major second above the octave or the 11th interval (with 4 as the octave "squared" not doubled) and then halved to the sixth root of two as 9/8, the major second, cubed as the tritone or the square root of two is the source for Simon Stevin's equal-tempered tuning. The cube root is then just double the sixth root -- or 10/8 as 5/4, the major third music interval.

So Simon Stevin used the geometric mean equation A/B = C/X with X=BC/A just as Archytas used the arithmetic mean equations with A = 1 and X = 2. Only with Archytas it's not said what "X" is -- so the Babylonian geometric mean is 6:8::9:12, ostensibly the same as Simon Stevin's A:B::C:X but this time reduced to either 2:3::2:3 or 3:4::3:4. Archytas, in solving for the square root of two excludes the START of the octave -- which again is now no longer doubled, as is the case in the harmonic series, but is squared. SIMON STEVIN CONVENIENTALLY IGNORES THIS HARMONIC SOURCE FOR THE SQUARE ROOT OF TWO. So Archytas converts this process that starts with 1:2 as 6:12 so that 6 would be A and X would be 12. Instead Archytas reduces this to a 3 term equation with no "X" so that A = 1 and C = 2 and then what had been 2:3 as 6:9 is now the RESULT of the octave as arithmetic mean (A + C divided by 2) equals 3/2. What had been 3:4 as 6:8 is now the RESULT of the octave as harmonic mean (2 x AC divided by A + C), thereby HIDING the complimentary opposite harmonics of 1:2:3:4 and replacing a doubling of the octaves with a squaring of the octaves (2 is now geometric mean squared with "half" of the octave now the square root of two as the tritone).

The "Greek Miracle" was to take that "divide and average" algebraic series for the square root of two and then apply it to geometry as the PRECISE SYMBOL, "the square root of two," -- no longer an approximation. It was called "alogon" but was similar to the apeiron or "negative infinity" used by Plato to introduce zero. The article I refer to argues, as is obvious, that the algebraic solution is a proof by contradiction, when applied to geometry, and as an algebraic series, the solution is infinite and not geometric. The algebraic equation does not converge to the square root of two as a positive solution and even Cantor could not prove that the real numbers converge to a set, but only exist as a series. Therefore the PRECISE symbol for infinity, the square root of two, is logically flawed and, again, "a convenient fiction" (Betrand Russell).

This logical issue is contemplated in math (for example in Carl Boyer's book "A History of Calculus") and ignored because math "works" -- but the question is for whom does math work? It's based on a rotten root and so as the math expands, as mass squared inversely proportional to energy frequency distance, so too does the ecological crisis expand.

My point is to reveal the secret complimentary opposites foundation of where the square root of two originates -- in music harmonic ratios. So just as the Golden Ratio requires REVERSING the order of the Fibonacci Series to enable a geometric quadratic solution, using zero, so too does the square root of two algebraic solution ignore the REVERSAL of the harmonic series ratios as frequency, into time as geometric distance.

WTF what happened to RI?

Something suss is happening here!

What's with all the BS cut and paste comments about irrelevant crap.

Also I was sure Jeff would have commented however briefly about the current intrigues developing on the subcontinent.

This was once an awesome blog and discussion place but seems to be heading down the toilet

Mystery solved

ANDdig that funky background sound, @ YouTubehttp://www.youtube.com/watch?v=Z7iQRFP_e90

there will always be a new RI so why bother trying to stop it?

pity the fools

Nice video, Jeff. It's good to escape a little now and then, if not just for the sake of sanity.

I'm a little worried that when I order Spore when it ships in March, and I'm also worried my computer isn't up the challenge. I mean, have you heard anything about Spore system requirements? It's got to be a process hog...

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