Here is the full list of all 29 Paradox Vector achievements.
You were shot to death by a Robot Guard
You found the Gun
You restored your Health
You have read Lore of the Ancient Ones
You have broken a Web that blocked your path
You have found the first Paradox Triangle
You have found the second Paradox Triangle
You have found the third Paradox Triangle
You have found the fourth Paradox Triangle
You have found the fifth Paradox Triangle
You have found the sixth Paradox Triangle
You have found the seventh Paradox Triangle
You have found the eighth Paradox Triangle
You have found the ninth Paradox Triangle
You have found the Timebombs
You have found the Jump Boots
You have found a Health Upgrade
You have found the Red Key
You have found the Green Key
You have found the Blue Key
You have defeated a Guard
You have found the Laser Cannon
You have found the Rocket Launcher
You have found the Machine Gun
You have found the Ancient One
You defeated a flying Jellyfish Monster
You defeated a no-good Creepy Crawler
You defeated a jumping Squid Spider
You fell to your death and landed on Spikes