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LOGICISM AND PARADOX II.

100%
Kolman V.
Organon F. medzinárodný časopis pre analytickú filozofiu
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2005
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vol. 12
|
issue 2
121-140
EN
This is a sequel to my article devoted to the development of Fregean logicism. The first part dealt with its 'rise and fall', i. e. its initial success in analyzing the concept of number and its subsequent fall at Russell's antinomy. In the course of the previous article we did not (have to) leave the area of the classical Fregean research. On the contrary, Russell's paradox and its analysis bring us now to the second part of the whole story - the (alleged) resurrection of the logistic idea in the works of Crispin Wright and George Boolos. We find ourselves in the middle of a neo-Fregean - structuralistic - approach based on the techniques of modern model-theoretical logic and (meta)mathematics. We do not want to criticize it yet, but only present some of the most important results such as the consistency of Hume's Principle or categoricity of Frege's (and Peano's) second-order arithmetic.
2

CONCEPTS MAY STILL BE OBJECTS

100%
Noonan H.
Organon F. medzinárodný časopis pre analytickú filozofiu
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2022
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vol. 29
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issue 3
376 – 388
EN
In his book (2021) Trueman attempts to provide a solution to the problem of the concept horse, which according to Frege’s published writings is an object, not a concept. In the course of doing so Trueman rejects Wright’s response (1998) according to which some objects are also concepts, for example, the concept horse, so the categories are not exclusive. Trueman’s argument for exclusivity (Chapter 4) is the heart of the book, and as he says, it is his response to holders of differing views, like Wright. I think that there is a gap in Trueman’s argument which needs to be filled if Wright is to be considered refuted.
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