Zahlen

Zahlen sind das Fenster zu Gott.

Ich glaube zwar nicht an Gott, aber ich finde Zahlen sehr praktisch.

Zahlen sind wie Namen und Begriffe ein Mittel zur geistigen Erfassung der Welt.

Zahlen als Grundlage jeder Wissenschaft erhöhen unseren Lebensstandart, sowie unsere Lebenserwartung,
und vor allem:
............... Sie lassen uns weiter in die Mysterien der uns umgebenden Welt eindringen.

Zahlen sind aber nicht nur in indirekter Weise vielseitig zu gebrauchen.

Zahlenbereiche zu erweitern ist Philosophie!

Komplexe Zahlen wurden lange Zeit als »gar keine richtigen Zahlen« angesehen.
Heute rechnet jedes Kind damit und sie sind eigentlich schon wieder ziemlich langweilig geworden.

Zahlen enthalten Unendlichkeit in horizontaler und vertikaler Richtung.
Entweder man zählt, bis der Zahlenstrahl durch die Haut des Universums spießt, oder man mikroskopiert irrationale Zahlen, bis man die Löcher zwischen den Quanten erkennen kann.

Die Welt ist wirklich wie in »Matrix«: Hinter jeder Wand lauern Massen von Zahlen.

Ich möchte mal eine neue Mathematik erfinden.

Leider habe ich keine Ahnung, worin sie bestehen soll.
Wahrscheinlich, weil es nichts gibt, was man damit beschreiben könnte.

Das ist die Crux der Mathematik: Sie ist und bleibt eine Hilfswissenschaft.
Natürlich kann man mathematisch kreativ sein, und die mathematischen Methoden verfeinern, neue Zahlenbereiche einführen, neue mathematische Betrachtungsweisen erfinden.
(Die Infinitisimalrechnung war ein bewundernswerter Geniestreich.)
Aber letztendlich stößt das menschliche Denken immer an seine Grenzen, wenn es den Boden des sinnlich Erfaßbaren verläßt.
Ein wenig weiter können wir schauen; ein kleines bißchen über den Rand der Realität hinaus.

Aber unser Geist ist nach Millionen Jahren der Evolution an die Realität angepaßt.
Wir werden keine Mathematik für etwas einführen können, das es gar nicht gibt.

Erst wenn eine »angewandte Wissenschaft«, die Physik oder Biologie zum Beispiel, auf ein Phänomen trifft, das mit den vorhandenen Mitteln nicht mathematisch zu beschreiben ist, erst dann denken wir weiter.
Erst dann schweben wir nicht mehr in leerem Raum.

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9318, 9319, 9320, 9321, 9322, 9323, 9324, 9325, 9326, 9327, 9328, 9329, 9330, 9331, 9332, 9333, 9334, 9335, 9336, 9337, 9338, 9339, 9340, 9341, 9342, 9343, 9344, 9345, 9346, 9347, 9348, 9349, 9350, 9351, 9352, 9353, 9354, 9355, 9356, 9357, 9358, 9359, 9360, 9361, 9362, 9363, 9364, 9365, 9366, 9367, 9368, 9369, 9370, 9371, 9372, 9373, 9374, 9375, 9376, 9377, 9378, 9379, 9380, 9381, 9382, 9383, 9384, 9385, 9386, 9387, 9388, 9389, 9390, 9391, 9392, 9393, 9394, 9395, 9396, 9397, 9398, 9399, 9400, 9401, 9402, 9403, 9404, 9405, 9406, 9407, 9408, 9409, 9410, 9411, 9412, 9413, 9414, 9415, 9416, 9417, 9418, 9419, 9420, 9421, 9422, 9423, 9424, 9425, 9426, 9427, 9428, 9429, 9430, 9431, 9432, 9433, 9434, 9435, 9436, 9437, 9438, 9439, 9440, 9441, 9442, 9443, 9444, 9445, 9446, 9447, 9448, 9449, 9450, 9451, 9452, 9453, 9454, 9455, 9456, 9457, 9458, 9459, 9460, 9461, 9462, 9463, 9464, 9465, 9466, 9467, 9468, 9469, 9470, 9471, 9472, 9473, 9474, 9475, 9476, 9477, 9478, 9479, 9480, 9481, 9482, 9483, 9484, 9485, 9486, 9487, 9488, 9489, 9490, 9491, 9492, 9493, 9494, 9495, 9496, 9497, 9498, 9499, 9500, 9501, 9502, 9503, 9504, 9505, 9506, 9507, 9508, 9509, 9510, 9511, 9512, 9513, 9514, 9515, 9516, 9517, 9518, 9519, 9520, 9521, 9522, 9523, 9524, 9525, 9526, 9527, 9528, 9529, 9530, 9531, 9532, 9533, 9534, 9535, 9536, 9537, 9538, 9539, 9540, 9541, 9542, 9543, 9544, 9545, 9546, 9547, 9548, 9549, 9550, 9551, 9552, 9553, 9554, 9555, 9556, 9557, 9558, 9559, 9560, 9561, 9562, 9563, 9564, 9565, 9566, 9567, 9568, 9569, 9570, 9571, 9572, 9573, 9574, 9575, 9576, 9577, 9578, 9579, 9580, 9581, 9582, 9583, 9584, 9585, 9586, 9587, 9588, 9589, 9590, 9591, 9592, 9593, 9594, 9595, 9596, 9597, 9598, 9599, 9600, 9601, 9602, 9603, 9604, 9605, 9606, 9607, 9608, 9609, 9610, 9611, 9612, 9613, 9614, 9615, 9616, 9617, 9618, 9619, 9620, 9621, 9622, 9623, 9624, 9625, 9626, 9627, 9628, 9629, 9630, 9631, 9632, 9633, 9634, 9635, 9636, 9637, 9638, 9639, 9640, 9641, 9642, 9643, 9644, 9645, 9646, 9647, 9648, 9649, 9650, 9651, 9652, 9653, 9654, 9655, 9656, 9657, 9658, 9659, 9660, 9661, 9662, 9663, 9664, 9665, 9666, 9667, 9668, 9669, 9670, 9671, 9672, 9673, 9674, 9675, 9676, 9677, 9678, 9679, 9680, 9681, 9682, 9683, 9684, 9685, 9686, 9687, 9688, 9689, 9690, 9691, 9692, 9693, 9694, 9695, 9696, 9697, 9698, 9699, 9700, 9701, 9702, 9703, 9704, 9705, 9706, 9707, 9708, 9709, 9710, 9711, 9712, 9713, 9714, 9715, 9716, 9717, 9718, 9719, 9720, 9721, 9722, 9723, 9724, 9725, 9726, 9727, 9728, 9729, 9730, 9731, 9732, 9733, 9734, 9735, 9736, 9737, 9738, 9739, 9740, 9741, 9742, 9743, 9744, 9745, 9746, 9747, 9748, 9749, 9750, 9751, 9752, 9753, 9754, 9755, 9756, 9757, 9758, 9759, 9760, 9761, 9762, 9763, 9764, 9765, 9766, 9767, 9768, 9769, 9770, 9771, 9772, 9773, 9774, 9775, 9776, 9777, 9778, 9779, 9780, 9781, 9782, 9783, 9784, 9785, 9786, 9787, 9788, 9789, 9790, 9791, 9792, 9793, 9794, 9795, 9796, 9797, 9798, 9799, 9800, 9801, 9802, 9803, 9804, 9805, 9806, 9807, 9808, 9809, 9810, 9811, 9812, 9813, 9814, 9815, 9816, 9817, 9818, 9819, 9820, 9821, 9822, 9823, 9824, 9825, 9826, 9827, 9828, 9829, 9830, 9831, 9832, 9833, 9834, 9835, 9836, 9837, 9838, 9839, 9840, 9841, 9842, 9843, 9844, 9845, 9846, 9847, 9848, 9849, 9850, 9851, 9852, 9853, 9854, 9855, 9856, 9857, 9858, 9859, 9860, 9861, 9862, 9863, 9864, 9865, 9866, 9867, 9868, 9869, 9870, 9871, 9872, 9873, 9874, 9875, 9876, 9877, 9878, 9879, 9880, 9881, 9882, 9883, 9884, 9885, 9886, 9887, 9888, 9889, 9890, 9891, 9892, 9893, 9894, 9895, 9896, 9897, 9898, 9899, 9900, 9901, 9902, 9903, 9904, 9905, 9906, 9907, 9908, 9909, 9910, 9911, 9912, 9913, 9914, 9915, 9916, 9917, 9918, 9919, 9920, 9921, 9922, 9923, 9924, 9925, 9926, 9927, 9928, 9929, 9930, 9931, 9932, 9933, 9934, 9935, 9936, 9937, 9938, 9939, 9940, 9941, 9942, 9943, 9944, 9945, 9946, 9947, 9948, 9949, 9950, 9951, 9952, 9953, 9954, 9955, 9956, 9957, 9958, 9959, 9960, 9961, 9962, 9963, 9964, 9965, 9966, 9967, 9968, 9969, 9970, 9971, 9972, 9973, 9974, 9975, 9976, 9977, 9978, 9979, 9980, 9981, 9982, 9983, 9984, 9985, 9986, 9987, 9988, 9989, 9990, 9991, 9992, 9993, 9994, 9995, 9996, 9997, 9998, 9999, 10000, ...

Heute stellte jemand in der Mittagspausse die hochphilosophische Frage:

»Was kommt eigentlich nach dem imaginären Zahlen? Die wirren Zahlen?«

Also haben wir schnell drei neue Zahlenbereiche erfunden: Die wirren Zahlen, die absolut durchgeknallten Zahlen und die Gaga-Zahlen.
Eine dazu passende Mathematik zu erfinden machen wir dann morgen.

ein zwei drei vier fünf sechs sieben acht neun zehn elf zwölf dreizehn vierzen
eis zwoi drü vier foif sechs siibe acht nüün zäh
eent zwee dräi véier fënnef sechs siwen aacht neng zeng
een twee drie vier vijf zes zeven acht negen tien
en två tre fyra fem sex sju åtta nio tio
en to tre fire fem seks sju åtte ni ti
en to tre fire fem seks syv otte ni ti
eitt tveir trý fýra fim seks sjey átta níggju tíggju
einn tveir þrír fjórir fimm sex sjö átta níu tíu
one two three four five six seven eight nine ten eleven twelve thirteen fourteen

unus duo tres quattuor quinque sex septem octo novem decem
un deux trois quatre cing six set huit neuf dix once douce treize quatorze
un dui trëi cater cinch sis set ot nü diesc
um dois três quatro cinco seis sete oito nove dez
uno dos tres cuatro cinco seis siete ocho nueve diez once doce trece catorce
uno due tre quattro cinque sei sette otto nove dieci undici dodici tredici quattordici
unu doi trei patru cinci schase schapte opt noua setsche
in dus treis quater tschun sis siat otg nov diesch


adin dwa tri tschetirje pjatje schestch sjem wosjem dewjatch desjatch
eden dwa tri tschetiri pet sches sedum osum dewet deset
edno dwe tri tschetri pet sches sedem ossem dewet desset
jedan dva tri tschetir pet schest sedam osam dewet deset
jedan dva tri cetiri pet sest sedam osam devet deset
jedna dva tri ctyri pet sest sedm osm devet deset
jeden dva tri stiri pet schest sedem osem devet desat
jedyn dwai tri styri pjec sesc sydom wosom dzewjec dzesac
jeden dva trzy cztery piec szesc siedem osiem dziewiec dziesiec
odyn dva try cotyry pjat shist sim visim devjat desjat
viens divi tris tschetri pieci seschi septinji astonji deviji desmit
vienas du trys keturi penki scheschi septyni aschtuoni devyni deschimt
aon da trì ceithir còig sia seachd ochd naoi deich
ena dio tria tessera pende exi efta ochto ennea deka

yksi kaksi kolme neljä viisi kuusi seitsemän kahdeksan yhdeksän kymmenen
üks kaks kolm neli viis kuus seitse kaheksa üheksa kümme

bir iki ütsch dört besch alty jedi dekis dokus on
bir eki üsch tort bes alte jeti segis togis on

Aik Dou Tin Tchar Pantch Tchhe Saat Aath Nou Dass
jek do se tschahar pandsch schesch haft hascht noh dah

Wenn nicht mehr Zahlen und Figuren – BIMM
Sind Schlüssel aller Kreaturen, – PLÄNG
Wenn die, so singen oder küssen, – ZILPZALP
Mehr als die Tiefgelehrten wissen, – SCHMETTER
Wenn sich die Welt in's freie Leben, – KLIMPER
Und in die Welt wird zurückbegeben, – PLÄNGPLÄNG
Wenn dann sich wieder Licht und Schatten – BINGBONG
Zu echter Klarheit werden gatten, – HUI
Und man in Märchen und Gedichten – TIRILI
Erkennt die ewgen Weltgeschichten, - BOING
Dann fliegt vor Einem geheimen Wort – WUPPS
Das ganze verkehrte Wesen fort. – KAWUMM

Nur ein Modell. Ein menschliches Denkmodell, das wie alle Modelle logische Fehler aufweisen kann.
Ich fürchte, daß die Mathematik sich irgendwann völlig in sich selbst verheddern und dabei alle Naturwissenschaften (und auch manch anderes) mitreißen wird. Ihre Fundamente wackeln nicht nur, sie vibrieren schon hörbar. Zumindest, falls ich nicht wieder völlig den aktuellen Erkenntnissen hinterherhinke.
Vielleicht ist die Mathematik ja einfach nur relativ. Ja, Slartibartfass hatte recht.