The Benacerraf Problem of Mathematical Truth and Knowledge Before philosophical theorizing, people tend to believe that most of the claims generally accepted in mathematics—claims like “2+3=5” and “there are infinitely many prime numbers”—are true, and that people know many of them. Even after philosophical theorizing, most people remain committed to mathematical truth and mathematical knowledge. These commitments come as a package. Those committed to mathematical

Perspectivism in Science Perspectivism, or perspectival realism, has been discussed in philosophy for many centuries, but as a view about science, it is a twenty-first-century topic. Although it has taken many forms and even though there is no agreed definition, perspectivism at its heart uses a visual metaphor to help us understand the scope and character of scientific knowledge. Several interrelated issues are surrounding this

The Golden Rule The most familiar version of the Golden Rule says, “Do unto others as you would have them do unto you.” Moral philosophy has barely taken notice of the golden rule in its own terms despite the rule’s prominence in commonsense ethics. This article approaches the rule, donc, through the rubric of building its philosophy, or clearing a path for such construction. Le

Xenophanes (c. 570—c. 478 B.C.E.) Xenophanes of Colophon was a traveling poet and sage with philosophical leanings who lived in ancient Greece during the sixth and the beginning of the fifth centuries B.C.E. There are a significant number of surviving fragments for such an early figure, and the poetic verses available to us indicate a broad range of issues. These include comments on religion, connaissance,

Objects of Perception The objects of perception are the entities we attend to when we perceive the world. Perception lies at the root of all our empirical knowledge. We may have acquired much of what we know about the world through testimony, but originally such knowledge relies on the world having been perceived by others or ourselves using our five senses: sight, hearing, touche, goût,

Deductive-Theoretic Conceptions of Logical Consequence According to the deductive-theoretic conception of logical consequence, a sentence X is a logical consequence of a set K of sentences if and only if X is a deductive consequence of K, c'est, X is deducible or provable from K. Deductive consequence is clarified in terms of the notion of proof in a correct deductive system. Depuis, discutablement, logical