Final answer:
In philosophy, our awareness of the bases of our judgments depends on the theory of knowledge we adhere to.
Step-by-step explanation:
In the context of philosophy, the statement 'We are always aware of the bases of our judgments' can be evaluated using different theories of knowledge. One theory, known as the JTB (justified true belief) account, suggests that for a belief to be considered knowledge, it must be true, justified, and believed by the knower. However, in response to the challenge of false premises, Gilbert Harman proposed adding a condition called 'no false lemmas' which states that a person's belief cannot be based on an inference that uses false premises. This condition challenges the idea that we are always aware of the bases of our judgments, as it implies that our knowledge can be influenced by false premises without our awareness.