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The logical form of categorical sentences

Alex Orenstein

Australasian Journal of Philosophy 78 (4):517 – 533 (2000)

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Concept Negation in Kant.Mark Siebel - 2021 - History of Philosophy & Logical Analysis 25 (1):31-65.details Kant distinguishes concept negation from copula negation. While the latter results in a negative judgement, i.e. a judgement denying a property of certain objects, the former gives rise to a negative concept, such as ‘immortal’. Since Kant’s remarks on concept negation are scattered and inconclusive, five interpretations are worked out and put to the test: logical negation, pseudo-negation, attribution of a zero degree, possibility-restricted negation and genus-restricted negation. Whereas the first four interpretations fail for a number of reasons, genus-restricted negation (...) turns out to be tenable. (shrink) Download Export citation Bookmark
Kant on Infinite and Negative Judgements: Three Interpretations, Six Tests, No Clear Result.Mark Siebel - 2017 - Topoi 39 (3):699-713.details In his table of judgements, Kant added infinity as a third quality. An infinite judgement ‘All S are non-P’ is said to differ from the affirmative ‘All S are P’ because it ascribes a negative predicate; and it differs from the negative ‘No S is P’ because it has a richer content. The present paper puts three interpretations of this surplus content to six tests. Among other things, it is examined whether these interpretations marry up with Kant’s solution to the (...) Download Export citation Bookmark 3 citations
Kant on Existential Import.Alberto Vanzo - 2014 - Kantian Review 19 (2):207-232.details This article reconstructs Kant's view on the existential import of categorical sentences. Kant is widely taken to have held that affirmative sentences (the A and I sentences of the traditional square of opposition) have existential import, whereas negative sentences (E and O) lack existential import. The article challenges this standard interpretation. It is argued that Kant ascribes existential import only to some affirmative synthetic sentences. However, the reasons for this do not fall within the remit of Kant's formal logic. Unlike (...) Download Export citation Bookmark 7 citations
A Peircisn Reconcilistion of the Old and the New Logic.Alex Orenstein - 2012 - Studies in Logic, Grammar and Rhetoric 27 (40).details Download Export citation Bookmark 1 citation
Geach, Aristotle and Predicate Logics.Alex Orenstein - 2015 - Philosophical Investigations 38 (1-2):96-114.details Geach's account of the Aristotelian logic of categorical sentences supplemented the views shared by Frege, Russell, Quine and others. I argue that this particular predicate logic approach and Geach's points apply to only one variety of natural language categorical sentences. For example, it takes the universal categorical as a universal conditional “If anything is a man, then it is mortal”. A different natural language form can and should be invoked: “Every man is a mortal.” Employing special restricted quantifiers in a (...) Download Export citation Bookmark 2 citations
∈ : Formal concepts in a material world truthmaking and exemplification as types of determination.Philipp Keller - 2007 - Dissertation, University of Genevadetails In the first part ("Determination"), I consider different notions of determination, contrast and compare modal with non-modal accounts and then defend two a-modality theses concerning essence and supervenience. I argue, first, that essence is a a-modal notion, i.e. not usefully analysed in terms of metaphysical modality, and then, contra Kit Fine, that essential properties can be exemplified contingently. I argue, second, that supervenience is also an a-modal notion, and that it should be analysed in terms of constitution relations between properties. (...) Download Export citation Bookmark

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