Final answer:
The Euthyphro dilemma does not prove that God cannot be the foundation of ethics, but rather presents a challenge to understanding the relationship between divine commands and moral principles. It calls into question whether morality is arbitrary or if it follows absolute standards outside of God's will.
Step-by-step explanation:
The statement that The Euthyphro dilemma claims to prove that God cannot be the foundation of ethics is false. The Euthyphro dilemma does not prove this claim; instead, it presents a philosophical problem about the relationship between deity and morals. At its core, it questions whether moral values are good because they are commanded by God, or if God commands things because they are good. This dilemma challenges the idea that God is the sole foundation of ethical values and raises important questions for divine command theory.
The dilemma goes as follows: If what is good is good simply because God commands it, then morality could seem arbitrary as anything could be good if God decreed it so. Conversely, if what is good is based on absolute principles that even God follows, it would imply that there’s a higher standard of goodness beyond God's commands, potentially rendering the divine unnecessary as a moral authority.
Therefore, the dilemma critically assesses the concept of using God as the ultimate foundation for morality, questioning whether such a theological basis for ethics can be conclusive and free of logical issues. It does not, however, immediately discard the possibility of God playing a role in the formulation of moral principles.