Properties and Propositions: The Metaphysics of Higher-Order Logic , by Robert Trueman
Properties and Propositions: The Metaphysics of Higher-Order Logic , by Robert Trueman
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属性和命题:高阶逻辑的形而上学,作者:罗伯特·特鲁曼
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Jones N
Two analogous hierarchies play a prominent role in contemporary metaphysics. One is a logico-linguistic hierarchy of expressions: singular terms (henceforth simply ‘terms’), predicates taking terms as arguments, predicates taking those previous predicates as arguments, and so on. Those expressions combine to form sentences, and the hierarchy then further expands with predicates taking sentences as arguments (that is, sentential operators), predicates taking those previous predicates as arguments, and so on. Those expressions also combine to form further sentences, and off we go again.The other hierarchy is a metaphysical hierarchy of (mostly) nonlinguistic entities: objects, properties of objects, properties of properties of objects, and so on. Those entities combine to form further entities variously called states of affairs, propositions, truth conditions, and ways for the world to be; I call them propositions. Once supplied with propositions, the metaphysical hierarchy then further expands with properties of propositions, properties of properties of propositions, and so on, which combine to form further propositions, and… well, you get the picture.