choice is being used and they don't want to use the axiom of choice, so they work out the consequences that's- that are possible without the axiom of choice or with weakened proof , what is the nature of mathematical reasoning. And on Hilbert's way of thinking about this, a proof is basically itself a finitistic kind of object. It's a sequence
complex cognitive things that would be so difficult to explain like if you're trying to go through a philosophical proof just you know, speaking it, it would be so hard to to kind of organize it and remember where you are, but youknow, reading and writing really makes that possible. And so, that was fascinating to me, you know, just sort of learning about the affordances of
Is that incidental to what's happening? proof of concept. I mean, Fuentes is as radical and explicitly anti-Semitic as anyone could possibly be. The man said, "I love Hitler in a broadcast," right?
first getting off the ground essentially during the enlightenment um all of these pieces of evidence people had taken as proof that God exists like I don't know weather patterns the idea that all of the planets and the sun revolve aroundthe earth etc started to be disproven and so gradually through that process of
And so sure enough, if you get any system notifications in Android 17, there's a little cinnamon bun. Proof that somebody at Google still cares about this!Bring back the public dessert names, Google, it's more fun this way.
Yeah, exactly. Real world stuff like the Death Star. Proof is the heart of the subject, right?
Or we need to swim more. Proof point. Yeah. You mention a number of great entrepreneurs, and we can see how they're changing the world.
of new funds that have longer timelines and providing access to physical facilities in order to perform a lot of earlier stage prototype development and proof -of-concept without having to spend all the money to build up one of those types of facilities and then just generally connectingthose types of organizations with large strategic companies that can help them scale up or help them learn how to better really ramp that up into a
But in chemistry, whenever you see NaCl, you see KCl a lot. Proof of space, which is space and storage.
melanoma which the dog is detected so now there is basically this is research proof of principle research training dogs to detect um uh cancer volatiles inexhaled breath uh in blood in urine and they're quite good at it we don't see
And thirdly-- by the way, you probably would guess, actually those of you with a philosophy background, is there's not a lot of agreement on what the word proof means. It is true that I think most people agree it's possible to prove that substance x boils at temperature y at barometric pressure z.And therefore, if I can demonstrate that, then we could say that's been proven.
But you really shouldn't proof text the Bible about sexuality. Proof texting, of course, means just pulling things out of context and then sort of saying, well, here it is.Here's the coherent list of rules that we've got right here.
that the language sounds right, and then to just do it all at the same time. proof of concept, that this was actually going to work, and it looked like this, and it was amazing, and the faces looked real, and they
genius and daring and tremendous effort and labor-- was inevitable. proof got AI going.
It was important group of people in the market that it was very powerful to. proof of that, certain things that you've worked on to demonstrate that.
Proof . Guy's screen next to me goes black.
Proof that children are indeed born in cabbage patches.
Proof of concept to give us a hint of what we might be able to do.
proof that there really were these waves that could pop out and then so it was kind of like okay now we know they're
Proof of concept. All right.
proof at all that it's bad for you.
proof of that. Lydie told us a number of things. That she had a grandmother who was a 106 and not a
proof for this in reality you should be here at this time what could you come up with and after the silence one guy said
proof of the damage which is great would you please fix them and they got fixed but the cool thing about this there's a
proof he James offered an analysis of The Iliad and the early books of the Old Testament in which all the characters
proof , you will get give you that proof and uh uh not I don't think that anybody really believed that this was a
Proofreading worked out nicely for me because I didn't have to answer phones or interact with people.
Proofreaders are a special group of people to be able to catch that and I am really prone to typos.
proofs fine uh let's forget about those okay how about the theorems that have proofs is there a chance that we're
His proof also used an uncountable number of steps, was that even allowed?
direct proof . He ran a sexual sexual compromise operation resembling known intelligence compromat
And the Tank is the rugged one you'll either love or hate, but the real deal is when you bundle it with one of their idiot-proof screen protectors. Their words, not mine. To get $20 off the entire bundle.
The proof is always in the pudding.
The proof that we did, actually, yes, indeed, if you take some of our steps out of context, you can do things like what you've said.
The proof is in the putting.
Yeah, exactly. Real world stuff like the Death Star. So proof in particular, I mean, you ask because you're already a mathematician.
for proof of citizenship.
His proof was wrong.
The proof was only published in German.
The proof of design, looking at how this new sort of wireless prosumer-grade technologies operate--
future proof against technology that makes it much easier to mine Bitcoin.
190 proof is 95% alcohol.
or proof of wrongdoing.
The proof of work is really the consensus element of the blockchain.
The proof will only be a set of logical rules at such a crazy constraint.
Future-proof HBO by becoming Netflix.
The proof is in the pudding.
and "proofiness." It feels like we've just done a mathematical proof .
Future proof my book.
shark proof um so that's sort of where it started but but but also like now I mean