From Physics arXive:
The 20th century has revealed two important limitations of scientific knowledge. On the one hand, the combination of Poincaré's nonlinear dynamics and Heisenberg's uncertainty principle leads to a world picture where physical reality is, in many respects, intrinsically undetermined. On the other hand, Gödel's incompleteness theorems reveal us the existence of mathematical truths that cannot be demonstrated. More recently, Chaitin has proved that, from the incompleteness theorems, it follows that the random character of a given mathematical sequence cannot be proved in general (it is 'undecidable'). I reflect here on the consequences derived from the indeterminacy of the future and the undecidability of randomness, concluding that the question of the presence or absence of finality in nature is fundamentally outside the scope of the scientific method.
If the abject despair that a normally functioning intellect would suffer due to this conclusion - should this despair not plumb the depths of existential futility that one seeks to explore, we also have on offer, via the New Yorker:
Le Blog de Jean-Paul Sartre
Saturday, 11 July, 1959: 2:07 A.M.
I am awake and alone at 2 A.M.
There must be a God. There cannot be a God.
I will start a blog.
...MORE
Sunday, 12 July, 1959: 9:55 A.M.
An angry crow mocked me this morning. I couldn’t finish my croissant, and fled the café in despair.
The crow descended on the croissant, squawking fiercely. Perhaps this was its plan.
Perhaps there is no plan.
Thursday, 16 July, 1959: 7:45 P.M.
When S. returned this afternoon I asked her where she had been, and she said she had been in the street.
“Perhaps,” I said, “that explains why you look ‘rue’-ful.”
Her blank stare only reinforced for me the futility of existence.
Friday, 17 July, 1959: 12:20 P.M.
When S. came through my study just now I asked her to wait a moment.
“Rueful,” I told her. “Because ‘rue’ is the French word for street.”
“What?” she said.
“From yesterday,” I said.
“Oh,” she said. “Yeah. Right.”
“And you said you had been in the street.”
“I got it,” she said.
“It was a pun,” I said.
“Got it,” she said. “Puns aren’t your thing, are they?”...
HT: Marginal Revolution
Still not depressed enough?
"Existential Questions I Hadn't Considered: Is There a Gnawing Ennui Within the Financial Industry?" also contains "Cookin' with Jean-Paul":
October 3 -- Spoke with Camus today about my cookbook. Though he has never actually eaten, he gave me much encouragement. I rushed home immediately to begin work. How excited I am! I have begun my formula for a Denver omelet.
October 4 -- Still working on the omelet. There have been stumbling blocks. I keep creating omelets one after another, like soldiers marching into the sea, but each one seems empty, hollow, like stone. I want to create an omelet that expresses the meaninglessness of existence, and instead they taste like cheese. I look at them on the plate, but they do not look back. Tried eating them with the lights off. It did not help. Malraux suggested paprika.
October 6 -- I have realized that the traditional omelet form (eggs and cheese) is bourgeois. Today I tried making one out of cigarette, some coffee, and four tiny stones. I fed it to Malraux, who puked....MORE
Don't make me call Albert Edwards.