Final answer:
The claim that extinction leads to the permanent eradication of conditioned responses is false. Extinction can weaken and even eliminate a conditioned response over time, but its effects are not always permanent.
Step-by-step explanation:
The statement that extinction of conditioned responses leads to their permanent eradication is false. Extinction in the context of classical conditioning occurs when the conditioned stimulus (CS) is repeatedly presented without being paired with the unconditioned stimulus (US). Over time, this can lead to a decrease in the conditioned response (CR). However, extinction does not necessarily lead to the permanent disappearance of the CR; the response can re-emerge after a pause (spontaneous recovery), or due to reconditioning. It is important to note that the conditioned response becomes weaker and may eventually disappear, but this process does not always mean the conditioned response is permanently eradicated.