I agree that there is good work to be done with math in all of those fields. But there’s plenty of good work in most of them that can be done without math too.
there’s plenty of good work in most of them that can be done without math too
Yes. Two caveats:
1) The person doing the good work without math should remember to consult someone with the math skills before publishing their results, if they are trying to say something math-like.
For example, to invent a hypothesis, design an experiment and collect data, the math may be unnecessary. But it becomes necessary at the last step when the experimenter says: “So I did these experiments 10 times: 8 times the results seemed to support my hypothesis, 2 times they did not; therefore… what exactly?”
2) There should be enough people in the given field knowing the math, so when the person from the first example wants to find a colleague with domain knowledge and math skills, they actually find one.
I agree that there is good work to be done with math in all of those fields. But there’s plenty of good work in most of them that can be done without math too.
Yes. Two caveats:
1) The person doing the good work without math should remember to consult someone with the math skills before publishing their results, if they are trying to say something math-like.
For example, to invent a hypothesis, design an experiment and collect data, the math may be unnecessary. But it becomes necessary at the last step when the experimenter says: “So I did these experiments 10 times: 8 times the results seemed to support my hypothesis, 2 times they did not; therefore… what exactly?”
2) There should be enough people in the given field knowing the math, so when the person from the first example wants to find a colleague with domain knowledge and math skills, they actually find one.