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Denkstijlen
Honours Programma Zevende Bijeenkomst 11
november 2004
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Gregor Mendel (1822 1884)

• 1866 - Versuche über Pflanzen-Hybriden
• 1900 Herontdekking (De Vries e.a.)

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Charles Darwin 1809 -1882
The Origin of Species - 1859
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Mendels contemporaries
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Gregor Mendel (1822 1884)

• 1866 - Versuche über Pflanzen-Hybriden

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O Tiger-lily, said Alice, addressing herself to
one that was waving gracefully about in the wind,
I wish you could talk! We can talk, said the
Tiger-lily when there's anybody worth talking
to. Lewis Carroll (1872) Through the looking
glass, Chapter 2 The garden of live flowers (p.
26)
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For some minutes Alice stood without speaking,
looking out in all directions over the country -
and a most curious country it was. There were a
number of tiny little brooks running straight
across it from side to side, and the ground
between was divided up into squares by a number
of little green hedges, that reached from brook
to brook. I declare its marked out just like a
large chessboard! Alice said at last... Its a
great huge game of chess thats being played -
all over the world.
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Father Gregor holds a Fuchsia flower. He holds it
up almost for the camera to see, and he squints
at it pointedly, with a quizzical expression, as
though asking it a question Father Gregor holds
a fuchsia and asks it a question (Mawer, p. 43)
Mendel watched and examined and thought. He had
the mind of a chessplayer (he was a chess-player)
and he watched natures moves patiently (Mawer,
p. 60)
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Mendels Checkerboard / Chess board Punnetts
Matrix / Punnetts Square
R.C. Punnett (1905) Mendelism. Cambridge.
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Mendels chess pieces
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Joseph Gottlieb Kölreuter 1733-1806
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Joseph Gottlieb Kölreuter 1764
Ich glaube durch die Verwandlung einer Pflanze
in die andere eben so viel geleistet zu haben,
als wenn ich Bley in Gold, oder Gold in Bley
verwandelt hätte. Man hat die Verwandlung der
Metalle von uralten Zeiten her für möglich
gehalten es ist aber noch niemand eingefallen,
dass es möglich wäre, eine Pflanze in die andere,
oder ein Tier in das andere zu verwandeln.
Vielleicht erweckt es bey einigen meiner Leser
ein vergnügen, wenn ich ihnen zeige, dass die
Theorie der Alchymisten von dem Wachstum und der
Veredlung der Metalle mit derjenigen, die ich von
der Verwandlung einer Pflanze in die andere
gegeben, sehr viel übereinkommt (p. 88).
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Laboratories cathedrals of the new agewhere
priests and scribes decipher and transcribe the
texts, and find damnation written just as clearly
as they ever did in medieval times
They looked up from their benches and stared In
the street it is the fascination of the freak
show, of the monster, of the walking gargoyle, in
the laboratories, within the temple of molecular
biology, it is the thrill of seeing a
manifestation of the texts that they read with
such minute attention, as though a beast from the
Apocalypse were walking through the scriptorium
of a medieval monastery and by his existence
confirm the truth of everything that the monks
just had transcribed (66/67)
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Johannes Gutenberg (1400-1468)
Gutenberg 1450 - boekdrukkunst Elementen
(stoicheia) - Elementaire deeltjes - Letters
van het alphabet Zwart kunst
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Genome-speak libraries, copying, deciphering,
etc. (although the genome is some thousand times
as big as the Bible)
A simple mistake, interpreting one letter the
wrong way, may end up as a total distortion of
the whole meaning of the book
Luther
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Pythagoras ( 500 BC) The first monk who became
involved in science The world is composed of
numbers Numbers are the elements Stoicheia -
Principles (of a science) - Letters (of an
alphabet) - Particles (basic constituents) Whole
numbers, ratios
A2 b2 c2
(A a) (A a) A 2Aa a
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Pythagoras - gnomon
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Pythagoras - gnomon
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Pythagoras 1 3 5 7 9 etc. Aantal
gnomons (2n) Som (4n) 1 3 4 2 4 1 3
5 7 16 4 16 1 3 5 7 9 11
13 15 64 8 64
Mendel 1 3 3 9 etc. Aantal gnomons
(2n) Som (4n) 1 3 4 2 4 1 3 3 9
16 4 16 1 3 3 3 9 9 9 27
64 8 64 .
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The pea experiment "Well, we'll soon find that
out," thought the old queen. But she said
nothing, went into the bed-room, took all the
bedding off the bedstead, and laid a pea on the
bottom then she took twenty mattresses and laid
them on the pea, and then twenty eider-down beds
on top of the mattresses. On this the
princess had to lie all night. In the morning she
was asked how she had slept. "Oh, very
badly!" said she. "I have scarcely closed my eyes
all night. Heaven only knows what was in the bed,
but I was lying on something hard, so that I am
black and blue all over my body. It's horrible!"
Now they knew that she was a real princess
because she had felt the pea right through the
twenty mattresses and the twenty eider-down
beds. Nobody but a real princess could be as
sensitive as that.
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Natura (non) facit saltus

• Alchemie natura facit saltus
• Leibniz natura non facit saltus
• Lyell Natura non facit saltus
• Darwin natura non facit saltus
• Mendel natura facit saltus

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Edmund husserl1900 Logische Untersuchungen
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Sigmund Freud1900 Die Traumdeutung
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David Hilbert1900 - 23 wiskundige problemen
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Karl Landsteiner (1868 1943)
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Hugo de Vries (1848-1935)
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Max Planck (1858-1947)
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Promenade among the Olive Trees 1905-1906Henri
Matisse
André Derain Pinède, Cassis, 1907
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Charles Darwin 1809 -1882
1859 - The Origin of Species 1868 - Variation of
animals and plants under domestication
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Gregor Mendel (1822 1884)

• 1866 - Versuche über Pflanzen-Hybriden