Issues of Logicism and Objectivity
نویسندگان
چکیده
منابع مشابه
Logic, Logics, and Logicism
The paper starts with an examination and critique of Tarski’s wellknown proposed explication of the notion of logical operation in the type structure over a given domain of individuals as one which is invariant with respect to arbitrary permutations of the domain. The class of such operations has been characterized by McGee as exactly those definable in the language L∞,∞. Also characterized sim...
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You’ll be pleased to know that I don’t intend to use these remarks to comment on all of the papers presented at this conference. I won’t try to show that one paper was right about this topic, that another was wrong was about that topic, or that several of our conference participants were talking past one another. Nor will I try to adjudicate any of the discussions which took place in between ou...
متن کاملRussell’s Logicism
Logicism is typically de ned as the thesis that mathematics reduces to, or is an extension of, logic. Exactly what “reduces” means here is not always made entirely clear. (More de nite articulations of logicism are explored in section 5 below.) While something like this thesis had been articulated by others (e.g., Dedekind 1888 and arguably Leibniz 1666), logicism only became a widespread subje...
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Inferentialism is explained as an attempt to provide an account of meaning that is more sensitive (than the tradition of truth-conditional theorizing deriving from Tarski and Davidson) to what is learned when one masters meanings. The logically reformist inferentialism of Dummett and Prawitz is contrasted with the more recent quietist inferentialism of Brandom. Various other issues are highligh...
متن کاملHilbert, logicism, and mathematical existence
Most readers are puzzled to find that the concepts of set and mapping were simply regarded as logical ones. With regards to the concept of set, this was a usual view in the late 19 th century, well represented for instance with Schröder, Peano and Russell. As Russell said [...], logic consists of three parts: the theory of propositions, the theory of classes, and the theory of relations. [...] ...
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ژورنال
عنوان ژورنال: Informal Logic
سال: 2017
ISSN: 2293-734X,0824-2577
DOI: 10.22329/il.v37i3.4832