"Yes.  And so that is an example of the relationship between math and magic.  Knowledge of math grants wizards power, because through that knowledge, wizards can predict the results of their own magical actions, and calculate which magical actions they ought to take.  Not because math grants them power by mere fiat of life, like some mere sorcerer who gains more power over magic when their emotions rise.  I suppose it's no one's fault to be born a sorcerer, but still, learn the damn math."

"As you apparently did, without knowing anything at all of magic."

"Now, it's not an incoherent state of knowledge for someone to know advanced math -- and have never once heard anything about the single most prestigious and powerful application of math, that is responsible for virtually all children first getting interested in math, that would appear in a supermajority of all children's books about math, that would be used in at least some illustrations and examples in all textbooks covering fields of math that can be used in wizardry at all -- the other fields of magic being far less studied -- and that you'd expect a teacher to show off by magical demonstration when they taught some kid about inverse-square attractions in the first place."

"None of this matters at all to this classroom, but yes, strange.  You come from some very strange background, young lady, and stranger yet is that you do not know how strange it was.  I am genuinely unsure whether or not I ever want to hear about this again."

"Yes.  And so that is an example of the relationship between math and magic.  Knowledge of math grants wizards power, because through that knowledge, wizards can predict the results of their own magical actions, and calculate which magical actions they ought to take.  Not because math grants them power by mere fiat of life, like some mere sorcerer who gains more power over magic when their emotions rise.  I suppose it's no one's fault to be born a sorcerer, but still, learn the damn math."

"As you apparently did, without knowing anything at all of magic."

"Now, it's not an incoherent state of knowledge for someone to know advanced math -- and have never once heard anything about the single most prestigious and powerful application of math, that is responsible for virtually all children first getting interested in math, that would appear in a supermajority of all children's books about math, that would be used in at least some illustrations and examples in all textbooks covering fields of math that can be used in wizardry at all -- the other fields of magic being far less studied -- and that you'd expect a teacher to show off by magical demonstration when they taught some kid about inverse-square attractions in the first place.  Yours used gravity."

"None of this matters at all to this classroom, but yes, strange.  You come from some very strange background, young lady, and stranger yet is that you do not know how strange it was.  I am genuinely unsure whether or not I ever want to hear about this again."

"Yes.  And so that is an example of the relationship between math and magic.  Knowledge of math grants wizards power, because through that knowledge, wizards can predict the results of their own magical actions, and calculate which magical actions they ought to take.  Not because math grants them power by mere fiat of life, like some mere sorcerer who gains more power over magic when their emotions rise.  I suppose it's no one's fault to be born a sorcerer, but still, learn the damn math."

"As you apparently did, without knowing anything at all of magic."

"Now, it's not an incoherent state of knowledge for someone to know advanced math -- and have never once heard anything about the single most prestigious and powerful application of math, that is responsible for virtually all children first getting interested in math, that would appear in a supermajority of all children's books about math, that would be used in at least some illustrations and examples in all textbooks covering fields of math that can be used in wizardry at all -- the other fields of magic being far less studied -- and that you'd expect a teacher to show off by magical demonstration when they taught some kid about inverse-square attractions in the first place.  Yours used gravity and that, you know, is kind of hard to demonstrate in a classroom if you want actual orbits."

"None of this matters at all to this classroom, but yes, strange.  You come from some very strange background, young lady, and stranger yet is that you do not know how strange it was.  I am genuinely unsure whether or not I ever want to hear about this again."

"Yes.  And so that is an example of the relationship between math and magic.  Knowledge of math grants wizards power, because through that knowledge, wizards can predict the results of their own magical actions, and calculate which magical actions they ought to take.  Not because math grants them power by mere fiat of life, like some mere sorcerer who gains more power over magic when their emotions rise.  I suppose it's no one's fault to be born a sorcerer, but still, learn the damn math."

"As you apparently did, without knowing anything at all of magic."

"Now, it's not an incoherent state of knowledge for someone to know advanced math -- and have never once heard anything about the single most prestigious and powerful application of math, that is responsible for virtually all children first getting interested in math, that would appear in a supermajority of all children's books about math, that would be used in at least some illustrations and examples in all textbooks covering fields of math that can be used in wizardry at all -- the other fields of math being far less studied -- and that you'd expect a teacher to show off by magical demonstration when they taught some kid about inverse-square attractions in the first place.  Yours used gravity and that, you know, is kind of hard to demonstrate in a classroom if you want actual orbits."

"None of this matters at all to this classroom, but yes, strange.  You come from some very strange background, young lady, and stranger yet is that you do not know how strange it was.  I am genuinely unsure whether or not I ever want to hear about this again."