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On Asymmetric Systems

The Strange Loops of Ideology

Drawing Hands — M.C. Escher

“Let me tell you why you’re here. You’re here because you know something. What you know you can’t explain, but you feel it. You’ve felt it your entire life, that there’s something wrong with the world. You don’t know what it is, but it’s there, like a splinter in your mind, driving you mad. It is this feeling that has brought you to me. Do you know what I’m talking about?”

— Morpheus, The Matrix

Systems

Sky and Water I — M.C. Escher

Formal Systems

Ideological Systems

Strange Loops

Waterfall — M.C. Escher

This sentence is false.

This sentence has five words.

Any consistent formal system F within which a certain amount of elementary arithmetic can be carried out is incomplete; i.e., there are statements of the language of Fwhich can neither be proved nor disproved in F.

“Objective knowledge with universal validity — how is this possible?” (Žižek, 10)

And Now, Perhaps, Some Reflection

Hand with Reflecting Sphere — M.C. Escher

Footnotes

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