Marie Milis Sunya Zero chiffre code For Annick

© Marie Milis

Sunya – Zero – chiffre - code …

For Annick de Souzenelle, mathematician and Author of reference books using the sources of the hebrew language Zero does not come from as sifr but from the hebrew Zerca (semence) Le semence va mourir en terre. De cette mort jaillit la vie. De même Dieu se retire: présence d’une absence

One of the greatest discoveries in the history of mankind, made more than 15 centuries ago, among certain learned circles in India, then transmitted to the Arabs, and which later undoubtedly constituted one of the fundamental contributions of the Middle Ages to the intellectual equipment of western science G. Beaujouan La science dans l’occident chrétien in Histoire générale des sciences (1957)

Some opposition to the introduction of zero Medieval hostility to zero rested on a Christian antagonism to « nothing » : give credence to that which was not and could not be in God’s world was to risk blasphemy During the fourteenth century, the handling of numbers passed from church educated clerks to merchants By early seventeenth century Hindu numerals had completely replaced Roman ones as the dominant mode of recording and manipulating numbers throughout Europe B. Rotman The abacists versus the algorists

The introduction of zero in the practice of arithmetic, the vanishing point in perspective art, and imaginary money in economic exchange are three isomorphic manifestations. In all three codes, the sign introduced is a sign about signs, a meta-sign, whose meaning is to indicate, via a syntax which arrives with it, the absence of certain other signs. Brian Rotman Signifying Nothing The Semiotics of Zero

At the end of the sixteenth century the Dutch mathematician Stevin advocating in his treatise The Dime the extension of the Hindu system of numeration from finite to infinite decimals, expressed great wonderment at the creative power of zero, at the ability it gave the principle of place notation to manufacture an infinity of number signs. For Stevin it was not the unit that was the arche of number, but the nought. Zero was the proper origin of number, the true and natural beginning. He called zero the poinct de nombre, for zero gives rise to the numbers. Stevin rejected numbers as signs conceived in terms of positive content, as names for « things » in favour of signs understood structurally, as having meaning only in relation to other signs within the sign system of mathematics. Stevin insisted to transfer zero’s lack of referentiality, its lack of « positive content » to all numbers.

A number like any other ex: a cheque number 045664 There are 151200 (= 10. 9. 8. 7. 6. 5) possible cheques with the 6 places filled with a digit, without repetition 226800 different cheques with two repetitions, as in this cheque

Zero neutral Present 10 + 3 + 5 + 7 - 3= 10 + 5 + 7 5 a 2 + 3 ac + 2 b – 5 a 2 = 3 ac – 2 b Or a warning: A needed tool: 2 x + 3 = 7 2 x + 3 – 3 = 7 - 3

The loaned camel • The heritage: 11 camels. • for the eldest son, • for the second • for the youngest = 11

Zero in disguise It is nothing, and yet. This nothing has untied knots!

Which is the cercle: x 2 + y 2– 4 x – 6 y = 12? x 2 – 4 x + 4 – 4+y 2 – 6 y +9 – 9 = 12 (x – 2) 2 + ( y – 3)2 – 4 – 9 = 12 (x – 2) 2 + ( y – 3)2 = 12 + 4 + 9 (x – 2) 2 + ( y – 3)2 = 25 A circle with center ( 2, 3) and radius 5

1 -1, 4 - 4, 9 - 9 nothing…. and yet A nothing that transforms deadends into tresholds… On condition that one struggles with the difficulties up to finding a solution. Such tricks will then be remembered.

Zero nothing interferes This zero « nothing » which helps the passage over thresholds designates them too. This weightless zero, this « zero nothing » may illegitimately interfere in operations other than addition and substraction. Its ravages then reveal the profound intuitions beyond the forms of language. Sandrine: Pierre: 0. 4 = 4 Zéro c’est rien 4 x = 4 x = x = 0 Reste rien (Nothing left) Marie Alix: All that can disappear has to disappear and disappearance is linked to nought 3 x = 3 x = 0 J’ai simplifié ( I cancel out) Guy: 0 - 4 = 0 If you have nothing and take away 4, it still makes nothing.

Ricardo gives me the graph of the function y = and the V. A: x=1 et x= 1/2 I ask him whethere is an H. A ( H. A. Y = 0, it’s the horizontal axis) Ricardo: Il n’y en a pas parce que c’est 0. 0 c’est rien, çà compte pas. When I compute the asymptote with him Ricardo: Ah c’est pas rien alors, çà existe

Is zero nothing? In 3 – 3 = 0 there were 3 things that are gone. Yasmine: 3. 0 = 3 nothing, don’t bother! 0. 3 = 0 don’t take 3 3 / 0 = 3 nothing, don’t bother I corrected her: 1, 01 Yasmine: Je ne comprends pas. Zéro çà compte pas. 0 / 3 = 0 there is nothing to be Marie: Et en € que dis tu de 2, 5 et de 2, 05€? divided Dans un cas tu as 2€ et 50 cents. Dans l’autre tu as 2€ et 5 cents. We observe with children that it is extremly difficult for them to respect a void ( both in writing numbers and texts). Digits and words are gathererd, the void disappears A. Michelot The notion of zéro for children

Ce qu’il aurait fallu faire pour f(x)=

What about something = zero? x Trouvez x 3 Le voici 10 2 x+3 = 0 Kadoyi: « if it comes to zero, there is nothing I can say about it » . Jérôme: If then that’s x. Marie: Nathalie changes And where is your =? Jérôme: into x - 4= x-2 because Zero is nothing isn’t it? « =0, çà n’a pas de sens »

m. (x+3) = 4 if m O x + 3 = 4/m if m = 0 0(x+3) = 4 which can never happen, there are no solutions S=O Searching an impossible value The thing « x » cannot exist here because the sentence in which it appears is absurd Jérôme: 0(x+3) = 4 x+3= 4 x = 1 0 x= 7 Sol = O 0 x = 0 Sol = R Aurélia: 7 x – 7 x = -9 x = -9 Let’s note that the search for the value of x is in fact a search that aims to fill a void

And what about dividing by zero? A speaker in a scientific conference told me: 4/0: it must be = 0 since 4. 0 = 0

Do not learn without reserve. A whole life will not suffice to unlearn what, naïve and submissive, you have allowed – innocent – to be put into your head without dreaming of the consequences. Henri Michaux

Caroline: 2=1 isn’t right, but because you have established it, I thought the whole process must make it right. I know that 2 isn’t equal to 1, but I can accept that in mathematics 2 = 1 Marie, flabbergasted: Really? Caroline, serenely: Oh yes, in maths there are so many strange things that I accept 2 = 1 Mathemagic!

The forbidden zero 5 = 5 25 = 5. 5 25 - 25= 5. 5 - 25 (5 -5)(5+5)= (5 -5)5 5 + 5 = 5 2. 5 = 5

Dividing by 0 is forbidden is said not to exist Brushing away existence when it becomes cumbersome?

All the rectangles with a surface of 36 cm 2

To be or not to be? These functions do not exist when x = 0 Does that means that there is a hole in the paper when x = 0 ? in f(x)= there is a hole in the graph when x = 0 x. y = 36 ou y = 36 / x in f(x)= 36/x the situation is different

Zero repulses Zero points up the differences between equalities: The scale like equality: 2 x + 3 = 5 When we divide by the smallest, we get the biggest result And the deployment: when x 0, 1/x

Plus le diviseur devient petit, et plus le quotient devient grand. Si le diviseur se réduit à la plus extrême petitesse, le quotient grandit au delà de toute mesure. Cependant, tant qu’on peut dire qu’il a telle ou telle grandeur, il n’a pas encore atteind sa limite extrême car il est toujours possible de trouver un nombre plus grand. Le quotient est donc une grandeur indéterminable et peut, à juste titre, être dit infini. Baskara, savant hindou du 12 e. S Abdoul

To tend to zero …and find 1 Each inner square worthes Of the initial square Putting side by side the inner squares and adding their surface: = I ( the outer square) ( while ) Horus eye

Zero absorbs Homothétie de rapport 2 , ½ et 0 0. (a+b) = 0. b ZERO IN MULTIPLICATION IS ABSORBANT i. e. it permits us, in multiplication, to completely ignore the nature of what it affects In multiplication, zero doesn’t go unnoticed! Unless it is still the « nothing » of mother language. Then 0. 4 = 4

0 is neutral in addition and substraction 1 is neutral in multiplication and division « If neutrals are going to start having colours now » Hélène

Zero absorbs onto 0 … and 1! In multiplication: a. 0 = 0 But when the multiplication is repeated: an = ? if n = 0 a 0= 1

In most cases 00 = 1 Multiply nothing zero times by itself = 1 A metaphor for the one attained without ego? The value of 00 may vary from problem to problem. 00 = where x and y approach 0 along all possible paths in the x-y plane. We get different limits by approaching along different paths.

Nicolas: pourquoi log x n’existe pas quand x = 0? or 10? = 0 In 10 X When x 10 X 0 , but won’t reach 0 anymore than x would reach Therefore there is no answer to 10? = 0, no value for log 0

But for logi x = 0, there is a unique answer which ever base is chosen ( among an number of possibilities). The only « zéro » of the function log is 1 logi 1 = 0

And what about 0. ?

Looking at all the rectangles with Surface = 25 cm 2 and 36 cm 2 One observes that 0. = 25 or 36 or…. Depending from which family comes the rectangle whose length is and whose width is 0

« Idéalités » : power and precision in measurements (Desanti) With zero, it is mathematically possible to: Divide 128 by 1 million: 0, 000128 Multiply 128 by one million: 128 000 or even by one milliard or more: it is just a matter of zeros In Physics, the taking of measurements depend on the instruments and the techniques used. It can be upset by interfering phenomenas. Therefore one has to define a degree of precision and reliability and a margin of error or uncertainty.

Zero stroke or cipher stroke is the name created by German physicians for prevalent nervous malady brought about by the present fantastic currency figures. Score of cases of the stroke are reported among men and women of all classes, who have been prostrated by their efforts to figure In thousands of millions. Many of these persons apparently are normal, except for a desire to write endless rows of ciphers.

Significant positions: In 0, 000128 and in 128 000 the zeros are significant. They are not so in 00128, 000…. excepts for Sabrina If her calculation is written: She obtains: But if all places are marqued She gets the right result: Similarly, for her 132, 98 – 31 = 132, 67 ( 98 – 31 = 67) unless the question is 132, 98 – 031, 00 Sabrina shows how much zero is nothing positioned…and it positions others

A little worm who knows that all numbers come from zéro? Péano’s axiomatic: 0= card 0 1= card {0} 2= card {0, {0}}

The Budhist notion of existence is pervaded by emptiness. It’s understanding is made possible by the discovery of the concept of zero. The Budha’s teaching is similar in dimension to the mathematical zero which is neither space nor time but without whose nature and function all operations cease Matsuo Without zero we cannot make ten or a hundred. Similarly with emptiness. It is emptiness and at the same time, it is the basis of everything H. H. Dalaï Lama To René Weber

Emptiness is silence, absolute silence. But absolute silence defines all means of expression. The Western mind takes emptiness as the climax of abstraction, the highest conceptual abstraction. The Oriental mind takes it as more concrete. Everyday feeling… Something must be done, and at the same time, that nothing done is expressed that way. D. T. Suzuki You live in the illusion and the world of appearances But there is a reality: You are that reality, but you don’t know it yet. When you’ll wake upin this reality, you’ll recognize that you are nothing and that being nothing you are all. Kalu Rimpoche

One has seen for my form, which is a worthless zero, some use in counting it along with alif. Khagani Alif, the first letter of the alphabet, is a straight line, and stands also for 1. Besides, it is the cipher for the slender stature of the beloved. The lover has value only together with the beloved. Anne Marie Schimmel quoting the Diwan I am under constraint yet with free will in the execution of every work. I am acting and non-acting. I am the zero in counting Ali Khan Ni’mat

In the Heart Sutra: (Prajnaparamita Sutra): Form is nothing but emptiness Emptiness is nothing but form What is form is empty What is empty is form Form is not differentiated from emptiness And emptiness is not differentiated from form. Form is at once emptiness And emptiness is at once form. Consciousness is not differentiated from emptiness And emptiness is not differentiated from Consciouness Consciousness is at once emptiness And emptiness is at once consciousness.

= 1 Zero nothing? = 0 Il (x) ne peut pas disparaître tout de même (y-2). 3/2 = 0 Équation impossible, S= O

Sunya qui signifie le vide et devint notre zéro servait aussi aux hindous à désigner l’inconnue. (Sunya that signifies the void and became our zero was also used by the hindus to designate the unknown /the variable) Tobias Dantzig Le nombre langage de la science 0 and x are both meta-signs: 0 initiate the activity of the counting subject x indicates the possible but not actual presence of number signs This requires a new mathematical subject, the algebraic subject, whose relation to the one-who-counts mirror the relation between a variable and a number. Thus the algebraic subject has the capacity to signify the absence of the counting subject, the displacement from the onewho-counts from an actual to a virtual presence. B. Rotman

Nothing comes of nothing SHAKESPEAR’S King Lear

This is perfect That is perfect Take away the perfect from the perfect And what is left is perfect