4-amalgamation illustrated

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Picture by Rami Grossberg, from John Baldwin, “ The complex numbers and complex exponentiation. Why Infinitary Logic is necessary!

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Grothediecks scribings

Witch’s Kitchen 1971. Riemann-Roch Theorem: The ‘dernier cri’: The diagram is commutative! To give an approximate sense to the statement about f : X \rightarrow  Y, I had to abuse the listeners’ patience for almost two hours. Black on white (in Springer Lecture Notes) it probably takes about 400, 500 pages. A gripping example of how our thirst for knowledge and discovery indulges itself more and more in a logical delirium far removed from life, while life itself is going to Hell in a thousand ways—and is under the threat of final extermination. High time to change our course!

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Grothendieck wrote this abstract into the colloquium book at the Universität Bielefeld when he spoke there in 1971, from “Comme Appelé du Néant — As If Summoned from the Void: The Life of Alexandre Grothendieck” by Allyn Jackson [1] [2].

Commutative arts

January 28, 2008

Big commutative diagramm

Suppose that, in Venet’s monumentally presented painting Related to the Homology Simplicial Complexes, in the place of H_{q-1}(L^{q-1}) the artist
had copied H^{q-1}(L^{q-1})

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From “Commutative Diagrams in the Fine Arts” by Karl Heinrich Hofmann