math itself cannot be wrong. 1+1=2. x is always equal to x. in my opinion it's the ASSUMPTIONS that lead you to faulty reasoning, not the math. if you observe a phenomenon and build a math model to describe it but the model gives faulty predictions then the ASSUMPTIONS you have made must be questioned. giving the model a once over helps. maybe you are talking about revisions. sure, math models can be revised, but usually it's due to new discoveries or, you guessed it, faulty assumptions. - laymans point of veiw.