Quadrivium , livre ebook

Wooden Books - John Martineau

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A propos
Informations
Extrait

Description

The Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. They synthesize number, space, and time. Geometry is number in space, music is number in time, and the cosmos expresses number in space and time. Number, music, and geometry are metaphysical truths, good and beautiful everywhere at all times. Life across the universe investigates them. They foreshadow the physical sciences. This is the first volume to bring together the Quadrivium for many hundreds of years

Sujets

Sciences et techniques

History of mathematics

Informations

Publié par	Wooden Books
Date de parution	08 août 2020
Nombre de lectures	0
EAN13	9781912706242
Langue	English
Poids de l'ouvrage	6 Mo

Informations légales : prix de location à la page 0,0800€. Cette information est donnée uniquement à titre indicatif conformément à la législation en vigueur.

Extrait

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C o l l e c t i o n c o py r i ght © 2 0 10 by W o o d e n B o ok s L t d Sacr ed N u m b e r c o py r i ght © 2 0 0 5 by M i r a nd a L u ndy Sacr ed G e omet ry c o py r i ght © 2 0 01 by M i r a nd a L u ndy P l a t o n i c & A r ch i m e d e a n S o li d s c o py r i ght © 2 0 0 2 by D a ud Sut t o n Harmono g r a p h c o py r i ght © 2 0 03 by A n t h o n y A s hto n T h e El emen ts o f M u s i c c o p y r i g h t © 2 0 0 8 b y J a s o n Martin e a u A Li ttl e B o ok o f C o i n c i d e n c e c o py r i ght © 2 0 01 by Joh n M a r t i n e a u A p p e nd i x p a g e s f r om R u le r and Compa ss © 2 0 0 9 by D a ud Sut t o n A l l r i ght s re s e r v e d . No p a r t of t h i s b o o k m a y b e u s e d or re p r o d uc e d i n a n y m a n n e r wh at s o e v e r w i t hout w r it t e n p e r m i s s i o n f r om t h e publ i s he r ex c e pt i n t h e c a s e of b r ie f quot at io n s e m b o d i e d i n c r it ic a l a r t i c l e s or re v i e w s . F o r i n f o r m at io n ple a s e a d d r e s s W o o d e n B o ok s L t d , R e d B r ic k B u i l d i n g , G l a s to nbu r y BA6 9 F T . S i mu lt a n e o u s ly publ i s he d i n 2 0 10 i n t h e U K by W o o d e n B o ok s L t d , G l a s to nbu r y a n d i n t h e US by B l o o m s bu r y US A , N e w Y o rk . T h i s e B o o k ve r s io n publ i s he d i n 2 0 2 0 . A C I P c a t a lo g u e re c o r d f o r t h i s b o o k i s a v a i l a ble f r om t h e B r it i s h L i b r a r y . e b o o k I S B N : 9 7 8 - 1 - 91 27 0 6 - 2 4 - 1 Vi s i t W o o d e n B o ok s ’ ex c e l l e n t we b s i t e at w w w . wo o d e n b o o k s .c om D e s i g n e d a n d t y p e s e t by W o o d e n B o ok s L t d , G l a s to nbu r y , U K e B o o k c o n v e r s i o n by T h e e B o o k Pa r t ne r s h i p .
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M t h e f o u r c l a s s i c a l l i b e r a l a r t s o f th e four cl a s s i cal li b e ral ar t s o f n u m b e r , g e o m e t r y , m u s i c , & c o s m o l o g y nu mb er, geo metr y , mus i c, & c o s m o l ogy NEW Y O RK • L O NDON • O X FORD • NEW DELHI • S Y D N E Y
“ The T a o giv es birt h t o t he O ne, t he O ne giv es birt h t o t he T w o , t he T w o giv es birt h t o t he Thr ee, t he Thr ee giv es birt h t o t he T en Thous and Thin gs. ” L a o T zu [60 5- 5 3 1 BC ]
C o ntent s E d i t o r ’ s Pr eface 1 F o r e w o r d 3 Ke it h C r itchlow Bo o k I Sac r ed N u mber 7 M i r a nda L u nd y Bo o k II Sac r ed G e o m e t r y 5 9 M i r a nda L u nd y Bo o k III P l a t o n i c & A r c h i m edea n So l i ds 1 2 7 Da u d S u t t o n Bo o k IV H a r m o n og r a p h 1 8 1 Ant hon y A s ht on Bo o k V T h e El em e n ts o f M u si c 2 3 7 Ja s o n M a r t i n e a u Bo o k VI A Li ttl e B oo k o f Co i n c i de n c e 2 9 1 Jo h n M a r t i n e a u A p pe n d i c es & I n de x 3 5 5
The f our su bj ect s concerne d wit h number w hic h compri s e t he Q u a drivium: Arit hmetic (t op left), Geometry (t op ri ght), Music ( bot t om left), and Astr onomy ( bot t om ri ght). Fr om t he Mar g arit a Philo s o p hica, Str as bur g, German y , 1 5 0 3 , by G r e g or R e i s c h [1 46 7- 1 5 2 5]. Court es y o f t he W a r bur g Institut e, L ond on.
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T is a t r ea s u r e c h es t o f o l d , o n ce sec r e t , a n d a l w a ys usef u l t h i n gs. I t is i m m o r t a l —i t w i l l n e v e r g o o u t o f d a t e . A n d i t is un i v ersa l— a m a g i c a l pa ss po r t be t w ee n c u l t u r es, sac r ed a n d sc i e n t i ﬁ c, p r o v i n c i a l a n d f o r e ign, a n c i e n t a n d m o der n . S i x boo ks f r o m t h e W oode n B o o k s ser i es h a v e bee n co mb i n ed t o p r od u c e Q u a d ri vium , p l us 3 2 n e w pa g e s f o r g ood m e a s u r e . G e o m e t r y a n d m u si c a r e eac h co v e r ed a s t w o boo ks, h e n c e t h e si x . W e h a v e t r i ed t o m i n i m i ze r e pe t i t i o n d u e t o o v er l a p i n t h e o r ig i n a l boo ks b u t a f e w i n s t a n ces r e m a i n h e r e a n d t h er e . A l so , si n c e t h is is a t r a n sa tl a n t i c ed i t i o n, w e h a v e o p t ed f o r a m i xt u r e o f Eng l is h a n d A m er i c a n s p e l l i ng a n d p u n c t u a t i o n . I f t h is u p se ts so m e r e aders, w e a p o l og i z e . A v o l u m e o f t h is sco p e i n v o l v es b r i n g i n g t o g e t h er m a n y peo p l e . T h a n k s t o Sa l l y P u c i l l , R i c h a r d H e n r y , A d a m T e tl o w , J o h n M i c h e l l, J o h n N e a l , Dr P a u l M a r c h a n t , R o b i n H e a t h, Da v i d W a de, Dr K h a l ed A z za m , M a l c o l m S t ew a r t, P o l l y N a p p er , G e o f f S t r a y , Dr M o f f B e t t s , P r o f S c o t t O l s e n , R i c h a r d H e a t h , M a t t T w e e d , M a r k M i l l s , P r of R o b e r t T e mp le , Stephen P a r s on s , Nath a n Wi l l i a m s a n d T r a c e y R o b i nso n f o r t h ei r h e l p a n d co n t r i b u t i o n s. T h a n ks t o t h e add i t i o n a l W oode n B o o k s ser i es ed i t o r s, G e o r g e G i b s on of W a l k er & B l oo m s b u r y i n N e w Y o r k, a n d Da u d S u tt o n i n Ca i r o . T h a n ks ﬁ n a l l y t o Pr o f K e i t h C r i t c h l o w f o r t h e f o r e w o r d , a n d t o t h e a u t h o r s t h em se l v es, M i r a n d a Lun d y , Da u d S u tt o n , m y g r a n d f a t h e r A n t h o n y As h t o n , an d D r J a s o n Martin e a u in Be r k e l e y . Jo h n M a r t i n e a u
2 e e T E T R A T K Y S TE TR A T K Y S o f t h e P y t h a g o r e a n s a u g m e n t e d b y t h e of the Py thagor e ans a u gme n te d by the L A M B D A LAMBD A o f t h e T i m a e u s . P l a t o k e p t t h r e e n u m b e r s b a c , o n l y r e v e a l i n g of the T i ma eu s. Pl a to k ept thr e e n u m b e r s ba c , on l y r e ve a l i n g s e v e n : 1 , 2 , 3 , 4 , 8 , 9 , a n d 2 7 , a s r e l a t e d t o t h e l a n e t s . s e ve n : 1, 2, 3, 4, 8, 9, and 2 7 , a s r e l a te d to the l anets. P e b l e s o k h a l i x w e r e t h e G r e e k n o r f o m a t h e a t i c s . P e b l e s o k h a l ix we r e the Gr eek nor f o ma the a t i c s.
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E Q w e r e ta ug h t b y P y t h a g o r a s a s t h e Te t r a k t y s a r o u n d 5 0 0 , i n a co m m un i t y w h er e a l l w e r e eq ua l, m a t e r i a l l y a n d m o r a l l y , i n c l u d i n g w o m e n a n d m e n . A t h o u sa n d y e a r s l a t e r , B o e t h i us a n d t h e ea r l y E u r o pea n sc h o o ls w h i c h f o l l o w ed bega n t o h o n e ed u c a t i o n d o w n t o sev e n esse n t i a l s u b j ec ts — t h e sev e n l i ber a l a r ts. T h e w o r d ‘ e d u c a t i o n ’ co m e s f r o m t h e L a t i n ed uce r e me a n i n g ‘ t o l e ad o u t ’ , po i n t i ng t o t h e ce n t r a l d o c t r i n e t h a t Soc r a t es, un der P l a t o ’ s pe n, e l u c i d a t ed so c l ea r l y — K n o w l e dg e is a n i n h e r e n t a n d i n t r i n si c p a r t o f o u r s o u l s t r u c t u r e . T h e Tr i v i u m o f l a n g u a g e i s s t r u c t u r e d o n t h e c a r d i n a l a n d o b j e c t i v e v a l u es o f T r u t h, B e a u t y a n d G ood n e ss. I t s t h r e e s u b j ec ts a r e Gr a m ma r , t h a t e n s u r e s t h e g ood s t r u c t u r e o f l a ng ua g e , Lo g i c f o r ﬁ n d i ng t r u t h, a n d Rh e t o r i c f o r t h e bea u t i f u l use o f l a ng ua g e i n e x p r e s s i n g t r u t h . T h e Qu a d r i v i u m a r ises o u t o f t h e m o s t r e v e r ed o f a l l s u b j ec ts a v a i l a b l e t o t h e h u m a n m i n d — N u m ber . T h e ﬁ r s t o f t h ese di s c i p li n e s w e c a ll Arit hm et ic , t h e seco n d is Ge o m e t ry o r t h e o r der o f s p a c e as N u m b e r in S p a c e , t h e t h ir d i s Harm o n y w h i c h f o r P l a t o m e a n t N u mber i n T i m e , a n d t h e f o u r t h is A s t r onom y , o r N u m b e r i n S p a c e a n d T i m e . A l l t h ese s t u d i e s oﬀ er a sa f e a n d r e l i a b l e l a dder t o r e ac h t h e si m u l t a n eo us v a l u es o f t h e T r u e , t h e G ood , a n d t h e B e a u t i f u l. T h is i n t u r n l e ads t o t h e esse n t ia l h a r m o n i o u s v a l u e o f W h o l e n ess. O u r s o u l , w h i c h i s p r o v e n t o b e i m m o r t a l b y S o c r a t e s i n t h e Ph a e do , co m e s f r o m a posi t i o n o f co m p l e t e k n o w l e dg e p r i o r t o bei n g bo r n i n t o t h e bod y . R e -m ember i ng — t h e po i n t o f ed u c a t i o n— l i t e r a l l y m e a n s p u tt i n g t h e se pa r a t e m e mbers bac k i n t o a w h o l e n ess.
4 T h e g o a l o f s t u d y i ng t h ese s u b j ec ts w a s t o c l i m b bac k ( u p ) t o U n i t y t h r o ug h si m p l i ﬁ c a t i o n ba sed o n t h e un ders ta n d i n g ga i n ed b y e n ga g i ng i n eac h a r ea o f t h e Quad r i v i u m . T h e g o a l l a y i n ﬁ n d i ng t h ei r so ur c e ( t r a d i t i o n a l l y t h is w a s t h e so l e p u r p ose o f t h e sea r c h f o r k n o w l e dg e ) . I n h i s d i sc ussi o n s o n t h e i d ea ls o f ed u c a t i o n, Soc r a t es r e v e a ls h i s m o d e l o f t h e c o n tin ui ty o f c o n s ci o u s n e s s . T h i s w a s as a ‘ l in e ’ dr a w n v e r t i c a l l y r e ac h i ng f r o m t h e beg i n n i ngs o f co nsc i o u s k n o w l e dg e i n E s t i m a t i o n s r i g h t u p t o t h e c l i m a x o f co nsc i o u s n ess a s Noe s is , wh ich i s U n i ﬁ ed U n ders ta n d i n g . B e y o n d t h is is t h e i n desc r i ba b l e a n d i n eﬀa b l e . T h e r e a r e , s i g n i ﬁ c a nt ly , fo u r s t a g e s ( a n o t h e r Q u a d r i v i u m o r Te t r a k t y s ) g i v e n b y Soc r a t es ’ d i v i si o n o f t h e ‘ O n t o l og i c a l l i n e ’ . T h e ﬁ r s t a n d f u n d a m e n ta l d i v i si o n is be t w ee n t h e I n t e l l ig i b l e a n d S e nso r y w o r l d , be t w ee n M i n d a n d M a tt er . N e xt, eac h o f t h ese is d i v i ded , E s