36191. |
- Solin, Kim, et al.
(författare)
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Refinement Algebra with Operators for Enabledness and Termination
- 2006
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Ingår i: Mathematics of Program Construction, 8th International Conference, MPC 2006, Kuressaare, Estonia, July 3-5, 2006, Proceedings. - Berlin, Heidelberg : Springer. ; , s. 397-415
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Konferensbidrag (refereegranskat)
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36192. |
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36193. |
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36194. |
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36195. |
- Solin, Kim
(författare)
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Rush Rhees on Set Theory, the Sophists and Wittgenstein
- 2022
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Ingår i: Platonism. - Kirchberg am Wechsel : Österreichische Ludwig Wittgenstein Gesellschaft. ; , s. 168-170
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Konferensbidrag (refereegranskat)abstract
- Rush Rhees, one of Wittgenstein’s three trustees, lectured on Plato and the Presocratics for two decades. In his lecture notes on the Sophists, Rhees briefly mentions Wittgenstein’s views on set theory and claims that mathematicians have responded to them like Sophists. This essay discusses and contextualises Rhees’s claim, including a brief discussion of how Rhees’s understanding of Plato might have influenced him as an editor of Wittgenstein’s Remarks on the Foundations of Mathematics.
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36196. |
- Solin, Kim
(författare)
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Rush Rhees on Wittgenstein's Philosophy of Mathematics
- 2018
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Ingår i: Philosophy of Logic and Mathematics. - Kirchberg am Wechsel : Österreichische Ludwig Wittgenstein Gesellschaft. ; , s. 233-235
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Konferensbidrag (refereegranskat)abstract
- Rush Rhees is arguably the one of Wittgenstein's three trustees who has received the least attention in the secondary literature. In letters to von Wright, kept in Helsinki, Rhees describes his understanding of Wittgenstein's writings on the philosophy of mathematics. I discuss some remarks from two of these letters, and, in passing, contrast the remarks to a few other approaches to the philosophy of mathematics.
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36197. |
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36198. |
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36199. |
- Solin, Kim
(författare)
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The Mathematician as Mathematics : Theories of Computation in Light of Wittgenstein's Thought
- 2013
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- Theories of computation are considered in light of Wittgenstein's thought. The dissertation is divided into three parts.The first part presents the philosophical approach taken in the dissertation. The approach takes Wittgenstein's philosophy, in particular as it has been understood by Rush Rhees, as a model. Emphasis is put on the difference between technical work and philosophical work. Philosophical work starts in the lifeworld and is akin to anthropology. The descriptions needed in this work can be given by considering our language use and by drawing up objects of comparison. It is nonetheless important not to confuse philosophical problems with problems of a purely intellectual character, since problems in philosophy can be described as bearing similarities to moral problems.In the second part, which is the main part of the dissertation, the classical theories of computation are considered against the background of the first part. The chapter starts by briefly tracing the historical development of the theories back to Hilbert. It is noted that Hilbert was concerned with epistemological questions. After this, it is investigated how well these epistemological questions were dealt with in the theories of computation that followed. In particular, work by Gödel, Church, and Turing is considered. Topics that are discussed are the very idea of mathematically analysing mathematical activity itself, the concept of finite procedure, what is natural in mathematics, and the idea that computations should be described as transitions between states.The third part is about a more recent theory of computation: abstract state machines. It is shown that many of the aspects of the classical theories that were problematic from an epistemological perspective are carried over to the abstract state machines. This includes the notion of state. Other topics are the idea of axiomatising computability, and the use of abstract state machines for proving Church's thesis.
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36200. |
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