1. A temperature transmitter for sensing a temperature of an industrial process, comprising: a temperature sensor arranged to provide a sensor output related to the temperature of the industrial process; measurement circuitry coupled to the temperature sensor configured to measure the temperature of the industrial process based upon the sensor output; output circuitry configured to provide an output related to the measured temperature; a memory configured to store temperature information related to excessive temperature events experienced by the temperature sensor due to heat from the industrial process; and diagnostic circuitry configured to diagnose a condition of the temperature sensor based upon the stored excessive temperature information.