Scholars claim that there are different sources of knowledge. These sources have come to be thought of as foundations for knowledge. Cognitivists are not united on the foundation of knowledge but they agree that knowledge is possible as against the skeptics. Intuitionism is a cognitive theory which states that knowledge is attainable through the mental faculty of intuition. Our concern in this paper centres on what might be called ethical intuitionism. Although there are variants of this theory, intuitionists believe that there are objective moral facts which are self-evident or known through intuition. In this form, it has been classified as ethical non-naturalism because it does not depend on empirical verification of its principles or truths. We shall argue that there are serious objections to ethical intuitionism. Moreover, we shall show that ethical intuitionism does not take cognizance of important findings in psychology and biology regarding human dispositions which are capable of being expressed in "naturalistic terms".