"I am hoping that Vladimir Putin understands that he is — short of a full-blown nuclear war, he’s not in a very good position to dominate the world."

Did Biden inadvertently — obliquely — advise Putin to use nuclear weapons? 

From the transcript: 

I’m very concerned that this could end up being — look, the only war that’s worse than one that’s intended is one that’s unintended. And what I’m concerned about is this could get out of hand — very easily get out of hand because of what you said: the borders of the — of Ukraine and what Russia may or may not do. I am hoping that Vladimir Putin understands that he is — short of a full-blown nuclear war, he’s not in a very good position to dominate the world. And so, I don’t think he thinks that, but it is a concern. And that’s why we have to be very careful about how we move forward and make it clear to him that there are prices to pay that could, in fact, cost his country an awful lot. But I — of course, you have to be concerned when you have, you know, a nuclear power invade — this has — if he invades — it hasn’t happened since World War Two. This will be the most consequential thing that’s happened in the world, in terms of war and peace, since World War Two.

What hasn't happened since World War II? That a nuclear power has invaded? (Is that true, and, if it's true, how did you have to interpret "invade" to get it to be true?) Or was he saying the thing that hasn't happened since WWII is the use of nuclear weapons? 

Notice that he said "when you have... a nuclear power invade" and then changed it to "if he invades."

"The only war that’s worse than one that’s intended is one that’s unintended" — what is the unintended war? Nuclear war?! He's "concerned" that "this could... very easily get out of hand." Is he not talking about nuclear war? This seems less careful about nuclear war than what we've seen from past Presidents.  It could "very easily get out of hand because... the borders of the — of Ukraine." He stops, but I believe the point is that right next to Ukraine, there are NATO nations:

And, you know, we’re going to fortify our NATO Allies, I told him, on the eastern flank....

The point seems to be go ahead and take Ukraine, but don't go any further:

The cost of going into Ukraine, in terms of physical loss of life, for the Russians, they’ll — they’ll be able to prevail over time, but it’s going to be heavy, it’s going to be real, and it’s going to be consequential.

He directly tells Putin he will win Ukraine and is concentrating on warning Putin against going any further. Biden's ambiguous mutterings about nuclear war seem to relate to invasions beyond Ukraine.

"What stands in front of us, what could be weeks away, is the first peer-on-peer, industrialised, digitised, top-tier army against top-tier army war that’s been on this continent for generations."

"Tens of thousands of people could die. This is not something that people in Moscow should believe to be bloodless. This is not something that the rest of the world should stand by and ignore. It’s right that all diplomatic avenues are being exhausted, I just hope that as we’re on the brink, people in Moscow start to reflect that thousands of people are going to die and that is not something that anybody should be remotely relaxed about."

Said James Heappey, the U.K. armed forces minister, quoted in "Britain fears tens of thousands dead if Russia invades Ukraine/Diplomats told to prepare for ‘crisis mode’ as UK sends thousands of anti-tank missiles" (London Times). 

Note that Heappey was trying to strike fear into the Russians to deter them, but the headline writers put the fear in the British, who, like the Americans, are not even considering fighting for Ukraine. 

Heappey told Times Radio it was not “remotely realistic” that British troops would engage in combat with the Russian military if there was an invasion, but he said that the Ukrainians were “ready to fight for every inch of their country.” He revealed that Britain had given thousands of light anti-tank missiles to Ukraine for use in the event of an invasion....

If you search the front page over at the NYT, you can find an article about the U.S. response to the Russians. It's way down, under things about the possible illegality of Donald Trump's business practices, a very old French clown, whether it's better to exercise in the morning or the evening, the distribution of free N95 masks, and whether the presidential election was stolen... in 1960.

The NYT article is "Blinken Will Meet With Russia as U.S. Pushes for More Diplomacy/Secretary of State Antony J. Blinken will meet with Foreign Minister Sergey V. Lavrov of Russia in Geneva on Friday as the United States warns that Russia could soon attack Ukraine." 

The White House said on Tuesday that Mr. Blinken would “urge Russia to take immediate steps to de-escalate.” 

“We’re now at a stage where Russia could at any point want an attack in Ukraine,” said the White House press secretary, Jen Psaki, “and what Secretary Blinken is going to do is highlight very clearly there is a diplomatic path forward.” 

In other words, Putin can easily read in the newspapers that he's completely free to take over Ukraine.

ADDED: "Russia could at any point want an attack in Ukraine" — isn't that a strange way to say it? It's pulling back from the direct statement, "Russia could at any point attack Ukraine." 

But extra words highlight that wanting to attack is all it takes. If Russia wants to attack, it can have Ukraine. Our only hope is to dampen the desire.

AND: Why isn't Ukraine in NATO? The question answers itself. From the NYT, 6 days ago "NATO Won’t Let Ukraine Join Soon. Here’s Why. Ukraine, with Russian troops on its borders, is pressing for membership. But President Biden and European leaders are not ready for that step": 

If Ukraine were a NATO member, the alliance would be obligated to defend it against Russia and other adversaries. U.S. officials say they will not appease President Vladimir V. Putin of Russia by undermining a policy enshrined in NATO’s original 1949 treaty that grants any European nation the right to ask to join....

Like European leaders, President Biden remains uninterested in Ukrainian membership in NATO.... Biden has grown skeptical of expanding U.S. military commitments....

[President] Zelensky has pressed Mr. Biden repeatedly on membership, including during his visit to the White House in September. “I would like to discuss with President Biden here his vision, his government’s vision of Ukraine’s chances to join NATO and the time frame for this accession, if it is possible,” he said as he sat next to Mr. Biden.

Mr. Biden blew past those comments without responding.