Sam Cowling

Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised by abstract entities and the debates about existence, truth, and knowledge that surround them. It sets out the key issues that inform the metaphysical disagreement between platonists who accept abstract entities and nominalists who deny abstract entities exist. Beginning with the essentials of the platonist–nominalist debate, it explores the key arguments and issues informing the contemporary debate over abstract reality: arguments for platonism and their connections to semantics, science, and metaphysical explanation the abstract–concrete distinction and views about the nature of abstract reality epistemological puzzles surrounding our knowledge of mathematical entities and other abstract entities. arguments for nominalism premised upon concerns about paradox, parsimony, infinite regresses, underdetermination, and causal isolation nominalist options that seek to dispense with abstract entities. Including chapter summaries, annotated further reading, and a glossary, _Entities_ is essential reading for anyone seeking a clear and authoritative introduction to the problems raised by abstract entities.

It is commonly assumed that all propositions have modal profiles and therefore bear their truth-values either contingently or necessarily. I argue against this commonly assumed view and in defence of amodalism, according to which certain true propositions are neither necessarily nor contingently true, but only true simpliciter. I consider three arguments against ‘possible-worlds theories’, which hold that modal concepts are to be analysed in terms of possible worlds. Although each of these arguments targets a different version of possible-worlds theory, these versions jointly exhaust the entire range of possible-worlds theories. After showing that each argument is naturally addressed by adopting amodalism, I argue that all defenders of possible-worlds theory ought to accept amodalism.