As a practicing mathematician, I disagree completely. Much mathematics is done with the understanding that the ideas can be made rigorous, and the point of educ

As a practicing mathematician, I disagree completely. Much mathematics is done with the understanding that the ideas can be made rigorous, and the point of educating people in mathematics is to allow them to craft arguments and revise when they find holes. One can and should introduce rigor gradually over time, and get the benefits of learning to reason and doing mathematics. When it comes to mathematics, the exact form of the outcome is extremely important. Proofs that are aesthetically pleasing are better than proofs that are not. Proofs that glean insight are better than proofs that do not. In fact, most people don't care about whether a theorem is true unless the proof provides sufficient insights.