|Possible World: entity that can be quantified over. There ist a dispute over the question whether possible worlds exist or are only assumed for purposes of proofs of completeness. See also actual world, modal logic, modal realism, realism, actualism, possibility, possibilia, quantification._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
|Read III 106
The most similar A-world does not need to be the most similar B-world and thus also no C-world.
To ensure that the most similar A- and C-world is the most similar A-world, we must know that C is true everywhere.
E.g. If root 2 is irrational, it can be expressed as a fraction in abridged representation.
Root 2 is not rational and cannot be. Nevertheless, this conditional sentence is true! But there is no possible world in which root 2 is rational, and thus, in particular, no most similar world to this one.
Solution: Stalnaker: includes an "impossible world" among his worlds, which he calls lambda, in which every statement is true! All such conditional sentences are found to be true.
Question whether it is about objects here in our world ("actual") (Quine) - or about possible counterparts that are more or less similar ("real") (Lewis)._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Me I Albert Menne Folgerichtig Denken Darmstadt 1988
HH II Hoyningen-Huene Formale Logik, Stuttgart 1998
Re III Stephen Read Philosophie der Logik Hamburg 1997
Sal IV Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983
Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001
Thinking About Logic: An Introduction to the Philosophy of Logic. 1995 Oxford University Press
Philosophie der Logik Hamburg 1997