Season 1 time paradox (spoiler)

Hi there.. I am a late beginner of the series and just watched season 1.

I like it but the end of season 1 is complete bull**** and once more we see: one should not try to write scripts with timetravelling..
In that moment RF disappeares cause Eddie died.. they could have ended the series. And here is the paradox: When Eddie dies.. Eobat/ RF has never existed. He never killed Barrys mom. Wells never turned into Eobat and creates Flash with the explosion of the particle accelerator.. and so on.. nothing of the content of the series has ever happened. What also means, Eddie would not shot himself... and here we go. Paradox. And they completly ingnored it.. sad.