Modal scope fallacy

In this article we will delve into the world of Modal scope fallacy, exploring its different facets and meanings. Modal scope fallacy arouses constant interest in society, whether due to its impact on history, its relevance in the present or its projection into the future. Along these lines, we will dive into a detailed analysis of Modal scope fallacy, examining its origins, evolution and possible implications. Whether it is an iconic figure, a cultural phenomenon or a relevant event, Modal scope fallacy sparks the interest of specialists and fans alike, providing fertile ground for reflection and debate.

A fallacy of necessity is a fallacy in the logic of a syllogism whereby a degree of unwarranted necessity is placed in the conclusion.

Example

a) Bachelors are necessarily unmarried.
b) John is a bachelor.
Therefore, c) John cannot marry.

The condition a) appears to be a tautology and therefore true. The condition b) is a statement of fact about John which makes him subject to a); that is, b) declares John a bachelor, and a) states that all bachelors are unmarried.

Because c) presumes b) will always be the case, it is a fallacy of necessity. John, of course, is always free to stop being a bachelor, simply by getting married; if he does so, b) is no longer true and thus not subject to the tautology a). In this case, c) has unwarranted necessity by assuming, incorrectly, that John cannot stop being a bachelor. Formally speaking, this type of argument equivocates between the de dicto necessity of a) and the de re necessity of c). The argument is only valid if both a) and c) are construed de re. This, however, would undermine the argument, as a) is only a tautology de dicto – indeed, interpreted de re, it is false. Using the formal symbolism in modal logic, the de dicto expression is a tautology, while the de re expression is false.

See also

References

  1. ^ Garson, James (2021), Zalta, Edward N. (ed.), "Modal Logic", The Stanford Encyclopedia of Philosophy (Summer 2021 ed.), Metaphysics Research Lab, Stanford University, retrieved 2022-03-02