I'm aware of the existence of the Summa.
And yet, you claim that "philosophers could used whatever half-baked premises they wanted in constructing arguments for the existence of God, and have little fear of being contradicted" even though the Summa contains refutations of weak arguments for the existence of God. Also, The Church specifically denounced the Doctine of the Double Truth, which by all accounts is a premise that would, in practice, act to protect religious claims from falsification. "Philosophers" would have risked Inquisitional investigation had they not dropped their "half-baked premises they wanted in constructing arguments for the existence of God".
I admit I was mostly thinking of the 17th/18th centuries when I wrote the above paragraph... but it was dangerous to be a heretic in the 13th century too.
I don't think he is claiming it wasn't dangerous to be a heretic in the 13th century. I'm pretty sure he is calling into question the claim that "it was dangerous to question that the existence of God could be proven through reason", which was a very common belief throughout most of the middle ages and was held with very little danger as far as I can tell. I'm surprized that you are unaware of this given that you "have master's degree in philosophy from Notre Dame".
EDIT: Carinthium beat me to the punch.

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Once again, which education? Clearly, a training course for, say, a truck driver, is not signalling, but exactly what it says on the can: a training course for driving trucks. A language course, likewise so. Same goes for mathematics, hard sciences, and engineering disciplines. Which may perhaps be likened to necessity of training for a formula 1 driver, irrespective of the level of innate talent (within the human range of ability).
Now, if that was within the realm of actual science, something like this "signalling model of education" would be immediately invalidated by the truck driving example. No excuses. One can mend it into a "signalling model of some components of education in soft sciences". Where there's a big problem for "signalling" model: a PhD in those fields in particular is a poorer indicator of ability, innate and learned, than in technical fields (lower average IQs, etc), and signals very little.
edit: by the way, the innate 'talent' is not in any way exclusive of importance of learning; some recent research indicates that highly intelligent individuals retain neuroplasticity for longer time, which lets them acquire more skills. Which would by the way explain why child prodigies fairly often become very mediocre adults, especially whenever lack of learning is involved.
If there was a glut of trained truck drivers on the market and someone needed to recruit new crane operators, they could choose to recruit only truck drivers because having passed the truck driving course would signal that you can learn to operate heavy machinery reliably, even if nothing you learned in the truck driving course was of any value in operating cranes.