Undecidability Quotes & Sayings

Life breathes on its own without nostrils — Sandra Proto

I thought I smelled an early hint of the mysterious bittersweet gas that fills Pittsburgh in the summertime, a smell at once industrial and aboriginal, river water and sulfur dioxide, burning tires and the coat of a fox. — Michael Chabon

If we now seek the spiritual significance of the technique of Michelangelo we shall find that his sculpture expressed restless energy ... — Auguste Rodin

Undecidability is a useful category even in dealing with restaurant menus. — Mason Cooley

She knew that there were electrical currents in the body and was what she was reminded of now. of currents flowing between them, of thousands of lights. — Lauren Oliver

Talk can neither be verified nor falsified in any rigorous sense. This is an open secret which hermeneutics and aesthetics, from Aristotle to Croce, have laboured to exorcise or to conceal from themselves and their clients. This ontological, which is to say both primordial and essential axiom (or platitude) of ineradicable undecidability needs, none the less, to be closely argued. — George Steiner

Science in its everyday practice is much closer to art than to philosophy. When I look at Godel's proof of his undecidability theorem, I do not see a philosophical argument. The proof is a soaring piece of architecture, as unique and as lovely as Chartres Cathedral. Godel took Hilbert's formalized axioms of mathematics as his building blocks and built out of them a lofty structure of ideas into which he could finally insert his undecidable arithmetical statement as the keystone of the arch. The proof is a great work of art. It is a construction, not a reduction. It destroyed Hilbert's dream of reducing all mathematics to a few equations, and replaced it with a greater dream of mathematics as an endlessly growing realm of ideas. Godel proved that in mathematics the whole is always greater than the sum of the parts. Every formalization of mathematics raises questions that reach beyond the limits of the formalism into unexplored territory. — Freeman Dyson

The guy walking past was wearing a shit five sizes too big (innovated by gangbangers to hide guns in their waistbands), shorts down below his knees (innovated by surfers to keep their thighs from getting sunburned), and oversized shoes (innovated by skaters to save their feet from injury). — Scott Westerfeld

Imagination is the source of creation, but knowledge is the source of imagination. — Debasish Mridha

All such uncertainties about undecidability and inconsistency apply only to mathematical structures with infinitely many elements. Are infinities, undecidability and potential inconsistency really inherent in the ultimate physical reality, or are they merely mirages, artifacts of our playing with fire and using powerful mathematical tools that are more convenient to work with than those that actually describe our Universe? More specifically, how well defined do mathematical structures need to be to be real, i.e., to be members of the Level IV multiverse? — Max Tegmark

You should stop by the shop. I'll make you up a special Welcome-To-Marietta chocolate basket for Samara. She'll love it."
Of course. He should have thought of it himself.
"She's got this salted caramel thing that will earn you major points," said Dawson. "the ladies love it."
"I shouldn't say this in church." Sage looked down, and dropped her voice to a whisper. "But it's been called orgasmic."
With that word, for a split second, everyone around him disappeared. Logan imagined putting a tiny square of rich, smooth candy onto Samara's tongue, watching her lips move as she savored it, kissing her, sharing the sweet, silky heat. What sound would she make when the flavor hit the back of her mouth? Would she moan? Would she ask for more? "It's a gift that keeps on giving," added Dawson, waggling his eyebrows. — Roxanne Snopek