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1. Theoria: An International Journal for Theory, History and Foundations of Science: Volume > 4 > Issue: 2
Josep Pla i Carrera Alfred Tarski i la teoria de conjunts
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The work on set theory made by A. Tarski in the years 1924-1950 is very interesting, but little know.We develope partial questions in set theory in the moment that A. Tarski intervenes and his contributionsand also influences.The principals aims in this development are:1. The axiom of choice [A.C.] and his equivalents;2. the general continuum hypothesis [G.C.H.] and the A.C.;3. the dual trichotomy principle;4. the inaccessible cardinals and his relation with the A.C. and the G.C.H.;5. the notion of finite set and his relation with the A.C and the G.C.H.;6. the almost disjoint set and their relation with the G.C.H.;and finally,7. the results in Berkeley.
2. Theoria: An International Journal for Theory, History and Foundations of Science: Volume > 7 > Issue: 1/2/3
Tobies Grimaltos EIs fets negatius en el «Tractatus Logico-Philosphicus»
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In this paper I offer an interpretation of those paragraphs of Wittgenstein’s Tractatus in which Wittgenstein talks about negative facts. In my opinion we cannot conclude that Wittgenstein held that negative facts have actual existence, as RusselI, for example, did.By means of a kind of journey through several possible interpretations, I arrive to the conclusion that negative facts are nothing but non-effective possibilities; they are in the logical space, in the field of possible worlds, but they have no actual existence, they are not inhabitants of the world. Finally, it is suggested that, insofar as pictures are facts, the only negative facts were, for Wittgenstein, the negative pictures and not what those pictures depict.