 How many angels can dance on the head of a pin?
 While this question was asked by Thomas Aquinas to mock questions he thought were waste of time as a *reductio ad absurdum* challenge, the serious answer for this question would be that there is no answer: angels, in all writings, are described as ethereal beings not constrained by physical boundaries of space, and any solutions attempting to bound them to the region of a pinhead cannot be applied.
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<|USER|> How many angels can dance on the head of a pin?
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 While this question was asked by Thomas Aquinas to mock questions he thought were waste of time as a *reductio ad absurdum* challenge, the serious answer for this question would be that there is no answer: angels, in all writings, are described as ethereal beings not constrained by physical boundaries of space, and any solutions attempting to bound them to the region of a pinhead cannot be applied.
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