Tag Archives: logic

Collections in Early Bolzano

Volume 6.7 of The Journal for the History of Analytical Philosophy (JHAP) has now been published online, with full open-access.

It features an article by Stefania Centrone and Mark Siebel entitled “Collections in Early Bolzano.” Here is an abstract:

There are quite a few studies on late Bolzano’s notion of a collection (Inbegriff). We try to broaden the perspective by scrutinising the forerunner of collections in Bolzano’s early writings, namely the entities referred to by expressions with the technical term “et”. Special emphasis is laid on the question whether these entities are set-theoretical or mereological plenties. Moreover, similarities and differences to Bolzano’s mature conception are pointed out. We argue that early Bolzano’s particular blend of set-theoretical and mereological features is best interpreted as a set-theoretically enhanced mereology.

JHAP is a free, open-access peer reviewed journal. It is available at https://jhaponline.org/. Submissions welcome!

On Operator N and Wittgenstein’s Logical Philosophy

Volume 5.4 of The Journal for the History of Analytical Philosophy is now online.

It features an article by James R. Connelly entitled, “On Operator N and Wittgenstein’s Logical Philosophy”. Here is an abstract.

In this paper, I provide a new reading of Wittgenstein’s N operator, and of its significance within his early logical philosophy. I thereby aim to resolve a longstanding scholarly controversy concerning the expressive completeness of N. Within the debate between Fogelin and Geach in particular, an apparent dilemma emerged to the effect that we must either concede Fogelin’s claim that N is expressively incomplete, or reject certain fundamental tenets within Wittgenstein’s logical philosophy. Despite their various points of disagreement, however, Fogelin and Geach nevertheless share several common and problematic assumptions regarding Wittgenstein’s logical philosophy, and it is these mistaken assumptions which are the source of the dilemma. Once we recognize and correct these, and other, associated expository errors, it will become clear how to reconcile the expressive completeness of Wittgenstein’s N operator, with several commonly recognized features of, and fundamental theses within, the Tractarian logical system.

The issue also contains a review of Sebastian Sunday Grève and Jakub Mácha, eds. Wittgenstein and the Creativity of Language, written by Craig Fox.

JHAP is a free, open access journal. It is available at https://jhaponline.org. Submissions welcome.