I don't see it as a paradox. Thinking critically about my own or others ideas increases the quality of ideas that we come up with. My logicalness makes my imagination more productive, not less. I was just saying what I thought and why.
That being said, I've changed my mind, because I thought of a way this could work thematically. They could use science and technology to put them on even footing with mages. For instance they could have almost indestructible armor equipments made of very sturdy metal, or a conjuration that attaches to them that diverts all attacks to it and therefore artificially augments the wearer's health. However, that would mean you would have to be able to guard conjurations.
I think it would probably depend on technological advancements to put regular people on even footing with mages. I just don't see non-mage humans having that much starting life of their own without some sort of innate chemical buffs (i.e. bite down on tooth– swallow steroids when entering arena) or genetic alterations.
Instead of casting spells, they could have items in their inventory, as well as abilities and certain things they already brought with them into the arena. Also, rather than just the average untrained and uneducated person fighting, I think the schools theme should be consistent with non-magical arena fighters too. If its not Mages, then it has to be something. I personally think that if it's someone using science and technology to put themself on even footing with a mage, then they would have to be an engineer, someone working for an engineer, or someone rich enough to buy all the items they need premade and with enough knowledge to use them correctly.
However, I think to make it sound more interesting, it should be spelled as Ingenier, to sound like Ingenuity, rather than "engine"
So far I've thought of three main schools of Ingeniering: Life, Chemicals, and Geography
Life: the study of life in all its forms. Expect to see genetically altered creatures and "conjurations" come out of the cages and pots held by the life-trained Ingenier. If they bought a warp drive from the geography-trained Ingenier they can create a rift in space to get their creatures through.
Chemicals: the study of the composition of matter.
an Ingenier trained in chemicals likes to buff themself and debuff their enemies using a variety of concoctions. They can also make explosions. If they bought a warp drive from the geography-trained Ingenier, the Ingenier trained in chemicals can bring their lab assistants into the fray.
Geography: the study of where things are in relation to each other. The Ingenier trained in geography is all about movement and range. They prefer ranged attacks, or melee attacks transferred through a machine. Because of their great understanding of position, movement and space (and some mechanical help) they can always strike their target accurately if given enough time to calculate and graph the position of the target.
Training in more than one Ingeniering school would lower total inventory points but make it possible to make different kinds of items to take to the arena. For instance, training in all three schools could allow someone to create robots or perhaps be a "jack of all trades". Training in both life and chemicals could allow one to create medicines to heal oneself and syringes to drain blood or insert viruses into living creatures. Training in life and geography could allow someone to know about and strike at pressure points of enemy creatures and conjurations to paralyze or SOMETIMES kill them instantly. Training in chemicals and geography could allow someone to manipulate their terrain, like dropping sticky substances to trap or slow down enemies or freezing the ground and equipping themselves with ice skates to give themselves fast and elusive, but at the cost of losing their move action for the round if they are successfully attacked.
Etc. Etc.
There's all sorts of different strategies different Ingeniers could use.
It would probably have to take place in a more "modern" era in Etheria, though.
What do you think?