Philosophical Dimensions of Logic and Science: Selected Contributed Papers from the 11th International Congress of Logic, Methodology, and Philosophy of Science, Kraków, 1999Artur Rojszczak, Jacek Cachro, Gabriel Kurczewski Springer Science & Business Media, 17 apr. 2013 - 396 pagini Philosophical Dimensions of Logic and Science is a collection of outstanding contributed papers presented at the 11th International Congress of Logic, Methodology, and Philosophy of Science held in Kraków in 1999. The Congress was a follow-up to the series of meetings, initiated once by Alfred Tarski, which aimed to provide an interdisciplinary forum for scientists, philosophers and logicians. The articles selected for publication in the book comply with that idea and innovatively address current issues in logic, metamathematics, philosophy of language, philosophy of science, and cognitive science, as well as philosophical problems of biology, chemistry and physics. The volume will be of interest to philosophers, logicians and scientists interested in foundational problems of their disciplines. |
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Pagina 6
... lemma gives a necessary and sufficient condition for a residuated lattice to be subdirectly irreducible. Lemma 3. A residuated lattice M is subdirectly irreducible if and only if there exists an element a (< 1) such that for any a 3 1 ...
... lemma gives a necessary and sufficient condition for a residuated lattice to be subdirectly irreducible. Lemma 3. A residuated lattice M is subdirectly irreducible if and only if there exists an element a (< 1) such that for any a 3 1 ...
Pagina 7
... Lemma 6. For any residuated lattice M and any 1 < k < w, the logic L(M) belongs to W, if and only if M is k-potent but is not k – 1-potent. An element a in a residuated lattice M is a coatom if it is maximal among elements in M – {1} ...
... Lemma 6. For any residuated lattice M and any 1 < k < w, the logic L(M) belongs to W, if and only if M is k-potent but is not k – 1-potent. An element a in a residuated lattice M is a coatom if it is maximal among elements in M – {1} ...
Pagina 8
... lemma follows immediately as a consequence of subdirect representation theorem (see the paragraph just below Proposition 2). Lemma 8. Every almost mascimal logic is determined by a s.l. residuated lattice. It is well-known that there ...
... lemma follows immediately as a consequence of subdirect representation theorem (see the paragraph just below Proposition 2). Lemma 8. Every almost mascimal logic is determined by a s.l. residuated lattice. It is well-known that there ...
Pagina 9
... Lemma 8, there exists a s.j. residuated lattice M which determines L. Clearly, M is k-potent and not isomorphic to B2, which must have the single coatom by Proposition 7. Lemma 11. Suppose that L(M) is almost marimal for a s.l. ...
... Lemma 8, there exists a s.j. residuated lattice M which determines L. Clearly, M is k-potent and not isomorphic to B2, which must have the single coatom by Proposition 7. Lemma 11. Suppose that L(M) is almost marimal for a s.l. ...
Pagina 10
... Lemma 11 L(M) = L(E3). Suppose next that M is not simple. Then, 0 < a.” = a” < a < 1. Since ~ a2 < 1 and a is the coatom, we have - a” < a. Then, by (~ o?)? - (~ o?)? = f^w a”. (~ a2)? <^2 a”.a.” — 0, we have (~ a”)* = 0. Therefore, by ...
... Lemma 11 L(M) = L(E3). Suppose next that M is not simple. Then, 0 < a.” = a” < a < 1. Since ~ a2 < 1 and a is the coatom, we have - a” < a. Then, by (~ o?)? - (~ o?)? = f^w a”. (~ a2)? <^2 a”.a.” — 0, we have (~ a”)* = 0. Therefore, by ...
Cuprins
15 | |
29 | |
ON XENDEFINABILITY IN ARITHMETIC 47 | 46 |
6 | 62 |
ON THE PERSISTENT DIFFICULTY OF DIS JUNCTION | 77 |
Science | 92 |
9 | 106 |
11 | 123 |
15 | 195 |
CARTWRIGHTS MODELS ARE NOT ADEQUATE FOR EPR 213 | 212 |
17 | 233 |
19 | 267 |
21 | 288 |
23 | 316 |
EVALUATION AND TESTING IN CREATIVITY | 331 |
25 | 345 |
Alte ediții - Afișează-le pe toate
Philosophical Dimensions of Logic and Science: Selected Contributed Papers ... Artur Rojszczak,Jacek Cachro,Gabriel Kurczewski Previzualizare limitată - 2003 |
Philosophical Dimensions of Logic and Science: Selected Contributed Papers ... Artur Rojszczak,Jacek Cachro,Gabriel Kurczewski Nu există previzualizare disponibilă - 2014 |
Philosophical Dimensions of Logic and Science: Selected Contributed Papers ... Artur Rojszczak,Jacek Cachro,Gabriel Kurczewski Nu există previzualizare disponibilă - 2010 |
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adversary Ajdukiewicz anti-realism anti-realist argument arithmetic B-equal Bandyopadhayay behaviour Cachro and G Cambridge causal claim co-NP common cause concept consider construction context convergence decision maker defined definition deflationary denote Dimensions of Logic discovery method Dummett editors elements empirical entropy Epimenides equation exists expression fact finite models formula genes given Hamiltonian Heyting algebra hypothesis intensional intensional logic interpretation of quantum intuitionistic intuitionistic logic Kluwer Academic Publishers knowledge Kurczewski eds language Lemma linear logic logics over FLew maximal logic means metaphor modal interpretations modal logic Mostowski natural number no-boundary proposal notion objects parameters particles phenotypic Philosophy of Science physical polynomial possible worlds posterior probability predicate principle problem properties quantifiers quantum mechanics realist relation representations residuated lattice result Rojszczak rules satisfied scientific semantic sentence sequence structure subset Theorem theory thesis tion transcendental true truth variables wave function Wheeler-DeWitt equation