Twitter CEO Jack Dorsey has doubled down on defending his company's decision not to kick far-right conspiracy theorist Alex Jones off its platform.

"We didn't suspend Alex Jones or Infowars yesterday," Dorsey tweeted Tuesday. "We know that's hard for many but the reason is simple: he hasn't violated our rules. We'll enforce if he does. And we'll continue to promote a healthy conversational environment by ensuring tweets aren't artificially amplified."

Twitter (TWTR) was notably absent from a list of big tech companies that cut some ties with Jones and his InfoWars site this week. Apple (AAPL), Facebook (FB) and Google's (GOOGL) YouTube removed content associated with Jones and InfoWars for violating their policies.

The InfoWars app is still available on the Apple and Google app stores.

We didn't suspend Alex Jones or Infowars yesterday. We know that's hard for many but the reason is simple: he hasn't violated our rules. We'll enforce if he does. And we'll continue to promote a healthy conversational environment by ensuring tweets aren't artificially amplified. — jack (@jack) August 8, 2018

Dorsey said Twitter would hold Jones to the same standard as it does every account.

"Truth is we've been terrible at explaining our decisions in the past. We're fixing that," he said.

"If we succumb and simply react to outside pressure, rather than straightforward principles we enforce (and evolve) impartially regardless of political viewpoints, we become a service that's constructed by our personal views that can swing in any direction," he added. "That's not us."

Truth is we've been terrible at explaining our decisions in the past. We're fixing that. We're going to hold Jones to the same standard we hold to every account, not taking one-off actions to make us feel good in the short term, and adding fuel to new conspiracy theories. — jack (@jack) August 8, 2018

Dorsey called on journalists to "document, validate, and refute" information posted by accounts like Jones' "so people can form their own opinions."

Accounts like Jones' can often sensationalize issues and spread unsubstantiated rumors, so it's critical journalists document, validate, and refute such information directly so people can form their own opinions. This is what serves the public conversation best. — jack (@jack) August 8, 2018

InfoWars is notorious for spreading demonstrably false information and conspiracy theories on a host of issues. It has suggested that the Sandy Hook massacre was a hoax, and that the September 11 terrorist attacks were an inside job orchestrated by the US government.

Related: YouTube, Apple and Facebook remove content from InfoWars and Alex Jones

The moves by Apple, Facebook and YouTube shut down key distribution channels that had given Jones easy access to millions of internet users.

In a message posted Monday on Twitter, Jones encouraged users to access live streams directly from the InfoWars website. He described it as "the one platform that they CAN'T ban."