Everyone has brought out great points which deserve to be respected. The passion to believe that 'Zero Defect' is NOT an impossibility is very encouraging. However, prior to this debate, the question was initially asked as a Yes / No question with no conditions and no room for explanations or deeper interpretations - "Is Zero Defect achievable?". All the answers that support this have some conditions attached., viz. it comes with a cost, it is possible with sufficient planning, could be done with mistake proofing, it is a management concept etc. etc.
I am a strong supporter of the zero defect thought process, but when it comes to answering this question unconditionally, I would maintain a "no".
No quality standard is complete without a "corrective action" clause. Big brands do have well defined customer service clauses that include warranty services and product recall procedures. Inspection and rework lines are built in even the best of production lines. Robust design and Mistake proofing techniques have greatly helped in improving efficiencies and reducing human dependencies and thus reduced errors. Even then, it is hard to find a 100% mistake proofing for all processes in a production line or a service industry. Even a 7 sigma process is termed as 'Near Perfection', but still not perfect! All of us know that the normal distribution will touch the X axis only at infinity!
When we buy a product, say a Television set, we expect it to perform defect free for a reasonable period of time. In a large population of TV sets from highly reputed manufacturer, the defect rate is expected to be extremely low, but certainly it is still not zero. You may visit the nearest service center for any product to find out! Yet for those small portion of affected customers, what is considered very important is the prompt response and remedy with least inconvenience. When we say zero defect, it cannot be even one in a million.
It is very important to encourage the philosophy of 'zero defect', and continuously strive towards it, but one has to be very careful before making a claim of achievement. An organization might do its best to overcome most of the factors that are controllable, but there are factors that may not be controllable and it wouldn't be practical to build a factor of safety for all such factors. We should not permit over complacency to set in that would come in the way of planning good remedial and recovery plans, for which failures need to be anticipated and mitigation plans built in. Many safety systems that necessarily may not prevent failures, either due to product or due to external factors, but help in reducing severity of the impact in an 'unlikely' event. Just as in an FMEA exercise, we tend to prioritize the actions based Severity, Occurrence and Detection, but may not necessarily eliminate all possibilities 100%.
The "Zero defect" thought process will continue to be key driver for continuous improvement, and would help to intelligently understand and manage the variabilities more proactively to provide products and services that keep up with ever revising Quality and Reliability expectations.