PS1 games have more detailed backgrounds and richer artystle compared to N64. That make their games more cinematic and atmospheric than N64

And good and inspired artsyle stomps high resolution assets every day until now

That's why imo PS1 games looks better than N64 games

How are we not saying the same thing?

I said the reason Playstation exists today is thanks to Nintendo.

All you have done is explained how.

Nintendo started off getting into a partnership with Sony. Sony spent however long working on the said partnership. At the last minute, Nintendo undercut sony and decided to go a different route. Someone at any (ken) wasn't having it and got the company to build a console that would never have existed if Nintendo didn't cut them off, to begin with.

Ok.  I"ll keep this simple:  "Nintendo PlayStation" =/= PlayStation.  There.

PS1 could technically do more polygons. I don't know the specifics of it but at the time and ever since every report I've ever read about the two systems says PS1 could do more polygons. That may just refer to a technical ability though, as in when you add in textures and effects and everything it may not have mattered because PS1 was so much less capable than N64. But technically PS1 had higher polygon count, but overall far inferior graphics.

The bit of blurriness N64 games had was just from the use (some say overuse) of Anti-Aliasing. PS1 had super pixelated textures and super jagged polygons (along with very glitchy graphics), N64 was obviously better in all regards because it was more powerful, but devs also used Anti-Aliasing to smooth out the image to further decrease pixelated textures and jaggies. This made N64 graphics smoother looking than they otherwise would have been, but also made them look slightly blurry.

Nintendo would have won with a CD-Rom.  Playstation was not selling well until it got Final Fantasy 7.  It was doing ok, but not nearly well enough to beat Nintendo.  The main third parties that didn't like Nintendo were Western devs like EA, but Western devs were not that important during the Gen 5 era.  Plenty of third party games still ended up on the Gameboy.  This idea that devs wanted to flee Nintendo is extremely overstated.  There was no mass exodus from Nintendo handhelds.  The main reason why third parties switched on home systems was 1) CD's were a much better format and 2) Playstation was selling well after FF7 ended up on it.  If Nintendo has CDs and FF7, then Playstation doesn't do nearly as well.

Third party dint run away from nintendo because of the disk drive. If II remember correctly nintendo had a insane quality requirement and devs could not meet thouse requirements but sony accepted them all. Thus they had way more games. Had nitendo not been so demanding devs would have just work around the space limitation of the cartridge as they where the leading brand.

The blurriness was because of the 4kilobyte texture cache. There's really no way around it (technically you could read the cache twice for one screen by halving the frame rate).

The original spec for N64 was 100 000 polygons per second, opposed to 300 000 for PSX, whereas the "new" microcode that took better advantage of the memory made it possible for N64 to churn 500 000 polygons per second. Even as N64 had modern unified memory architecture, it had it's memory divided between the different processors - if you did not need the whole memory reserved for audio, it was unused. The "new" microcode Nintendo provided made the memory dynamic, so you could use the non-used memory for other purposes, like graphics.

Even so, the one and only reason that Square walked away was the format.  Square admits they viewed themselves as a 2nd party publisher for Nintendo at the time and only began developing for Sony when Nintendo didn't follow Squares advise about making sure the N64 was day one CD-ROM capable.

Hironobu Sakaguchi

Producer and executive vice president, Square Japan; Chairman and chief executive officer, Square USA

PlayStation games being on CDs was the biggest factor.  The biggest problem was, of course, memory. Based on our calculations there was no way it could all fit on a ROM cartridge. So our main reason for choosing the PlayStation was really just because it was the only console which would allow us to use CD-ROM media.

Shinichiro Kajitani

Vice president, Square USA

At that time, Square was really close to Nintendo — we were basically like a second party for them. So when their new system was in development, we gave them lots of advice, like, “You’re going to need a CD-ROM drive for it,” “You don’t have enough bandwidth to do what we’re trying to do,” and, “With what you have now, we’re not going to be able to make an RPG.” We gave them lots of advice. But [Nintendo president] Yamauchi-san at Nintendo basically refused to listen to any of it. And that’s when Sakaguchi-san and the management team at Square decided, “OK, we’re going to go with Sony now.”

https://gonintendo.com/stories/289651-square-enix-opens-up-about-trying-to-make-final-fantasy-vii-for-n

If the N64 had been released with CD-ROM as its launch software format, it's a safe bet that Konami would have also released Metal Gear Solid on it as well.  Then, there goes 2 of the PlayStation's biggest 3rd party exclusives.  So yes, basically 1 change in development decision could have had a massive impact on the way the 5th console generation played out.

I don't see how you can arrive at that conclusion. Here are the known facts.

1. Kutaragi (unknown to the higher us at sony) designed a SNES sound chip for Nintendo, and it lost cost him his job but fr he intervention of then sony president Ohga or whatever his name was (can't recall).
2. After that successful chip, Ken went on to convince the board at sony that they should make aCD add on for the SNES. And Nintendo agreed to this. There was not a lot of support from both camps as sony felt gaming was a fad at the time and not worth investing in and Nintendo wasn't keen on CD-Roms.
3. Then Nintendo went back on this deal and announced that they were intended partnering with Phillips. The messed up thing was, Sony found out about this along with everyone else when Nintendo announced their partnership with Phillips.
4.  Then Ken convinced the board that they should go on with the project and make their own game console. And that is how we have Playstation today.

I don't know how else to look at that, but I think its safe to say, that chances are, if that Nintendo Playstation actually came to light, and was a commercial failure (as was the case with the Sega CD), then sony would have sen no reason what so ever to listen to Ken and mak their own console. And the Playstation would never have existed. 

If it was a commercial success, then sony and Nintendo would have started off a long partnership, and sony would probably just be a third party game publisher today if at anything.

I can't see what reason or how to look at this any other way. Nothing at all points to the suggestion that sony would ever have made a Playstation if things hadn't gone south with their partnership with Nintendo.

My guess would be that Sony would be major player in manufacturing hardware for others. They would work more like they operate in music and movies.