The only people he argued against here were people who wanted to play word games that's what this always is people who want to play word games.
Peterson is the one playing word games. He does this all the time. He starts weaving around with varied definitions of words and very intentionally (and in this video, explicitly) rejecting how everyone else is using those words. Peterson even tried to define an atheist who has studied religion as "religious" while an actual Christian who believes in a literal God, as a supernatural and explicit entity that actively intervenes in our world is not religious, but "sectarian."
I would propose any Peterson supporter should answer whether they agree with that definition. Am I, the atheist, a religious person because I've studied biblical texts?
In the first claim, Peterson said that atheists were rejecting god, but don't understand god. Peterson tried to rapidly fire off a whole bunch of different definitions of god, and was given an
extremely clear definition of what atheists specifically mean when they say they reject god. Peterson even later claimed to not understand "in the least" how the atheist was defining god, which is an absurd and pathetic lie. Peterson then falsely tried to redefine god as merely being "inner conscience," despite given an explicit definition to the contrary. When more than one of his debate opponents started to call Peterson out on this, he started gish galloping further and even started
shouting over them to prevent them from answering his own questions.
Because he knew he couldn't let the conclusion be reached, because now Peterson, through his stupid word games about what god is,
has now accidentally redefined Claim #1 to this:
Atheists reject the idea of inner conscience, but they do not understand the idea of inner conscience.
This claim is, obviously, absurd on its face. And it is made even moreso by the fact that
Peterson himself established in the conversation that the atheist he is talking to does believe in and understand inner conscience. Peterson was very careful to make this understood, and it completely destroys his own premise.
Peterson accidentally even admitted to these dishonest tactics: "I don't care about common parlance." Well, sorry Peterson, but the rest of us do care about that. When I say I reject the existence of God,
I am the one who decides what I mean by that. And it's not "inner conscience."