Microreductions: Set Theoretical Form
It has long been recognized that in a nontrivial reduction of T2 to T1, T1 must be supplemented with a set of connecting sentences in order to make possible the explanation of the law-sentences of T2. In the case of microreductions, it has been recognized that some of these connecting sentences should be some kind of identities between the elements in Dom2 and elements in Dom1 However, most investigators have also thought that at least some of the connecting sentences are certain types of law-sentences, and for this reason these connecting sentences are often called “bridge laws”. I will eventually argue that all connecting sentences must be identities; some will be thing-identities and some will be attribute-identities. However, in this chapter I will develop, as far as is possible, conditions for microreductions in set theoretical terms.
KeywordsEmergent Property Structural Description Homogeneous Subset Theoretical Language Compound Element
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