A Model-Theoretic Realist Interpretation of Science by E.B. Ruttkamp
By E.B. Ruttkamp
In this publication Emma Ruttkamp demonstrates the ability of the full-blown employment of the model-theoretic paradigm within the philosophy of technology. inside of this paradigm she provides an account of sciences as technique and product. She expounds the "received assertion" and the "non-statement" perspectives of technological know-how, and indicates how the model-theoretic method resolves the spurious rigidity among those perspectives. during this endeavour she additionally engages the perspectives of a couple of modern philosophers of technology with affinity to version thought. this article will be learn through experts operating in philosophy of technology or formal semantics, through logicians engaged on the constitution of theories, and through scholars in philosophy of technology - this article bargains an intensive creation to non-statement debts of sciences in addition to a dialogue of the normal assertion account of science.
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Extra resources for A Model-Theoretic Realist Interpretation of Science
Example text
Lo E Ind u Var, where Var = {Xl' x2, ... } is the set of variables. ,p, where p is a well-formed formula over A, or 20 • CHAPTER 2 Cl E • is of the form (P *y), where P and y are well-formed formulas over A and * {A, V, -, -}, or Cl is of the form (3x)P or of the form (V'x)P, where P is a well-formed formula over A and x E Var. 2 Suppose we have a first-order language LA' where A is induced by some sets Ind and Pred. An interpretation of LA is a pair (D,t) such that +, • D~ • f assigns to every member of Ind an element of D, and • f assigns to every (P,n) E Pred a subset of DD.
Let us choose a first-order predicate language, L, in which a deductive theory T is formulated. The only condition I set with regards to language L, is that it should be appropriate for formulating statements about mathematical structures. Let us say that theory T is the (deductively A MODEL-THEORETIC ACCOUNT OF SCIENCE 19 closed) set of all formulae which can be deduced from a consistent set (system) of axioms, E, in formal language L. Now, in this language, L, there will be - among other things6 - an infinite, countable set of individual variables and a nonempty set of predicate letters.
The way that we observe depends on human capabilities and properties of nature. Observation may affect the objects observed and our observational procedures depend upon the state of technology and are guided by theory. The results of observation [represented by my empirical models) have to be derived by procedures that depend upon some theoretical model [an interpretative model) as well as upon experimental techniques, ... The harder we question nature, [and) the more fundamental the observations we make, the more dependent are the results on technique and theory.