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4 results for "self-reference"

A_2_09 — Ouroboros: Eternal Return and the Serpent Eating Its Tail

The ouroboros (also uroboros; from Greek οὐροβόρος, oura "tail" + boros "eating/devouring") — the image of a serpent or dragon eating its own tail, forming a closed circle — is one of the most ancient, most widespread, a

ouroboros uroboros serpent tail-eating serpent eternal return cyclical time

P_1_13 Verified Philosophy & Meaning

P_1_13 — Paradoxes in Philosophy: Zeno, Liar, Ship of Theseus, Sorites

A paradox is an argument that proceeds from apparently acceptable premises via apparently valid reasoning to a conclusion that is apparently unacceptable — forcing us either to reject a premise, identify a flaw in the re

paradox Zeno Achilles and tortoise dichotomy liar paradox Ship of Theseus

P_1_05 Philosophy & Meaning

P_1_05 — Gödel's Incompleteness and Limits of Knowledge

In 1931, Kurt Gödel proved two theorems that shattered the foundations of mathematics and permanently altered humanity's understanding of knowledge, truth, and proof. The FIRST INCOMPLETENESS THEOREM states: in any consi

Gödel incompleteness theorem undecidable unprovable consistency

V_2_20 Verified Mathematics & Information

V_2_20 — Gödel's Incompleteness Theorems — Philosophical Implications

Kurt Gödel's incompleteness theorems, published in 1931 in the paper "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I," constitute one of the most profound results in the history of l

Gödel incompleteness undecidability consistency mathematical truth Hilbert program

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