Commutativity and self-reference.
نویسندگان
چکیده
منابع مشابه
Commutativity, Comonotonicity, and Choquet Integration of Self-adjoint Operators∗
In this work we propose a definition of comonotonicity for elements ofB (H)sa, i.e., bounded self-adjoint operators defined over a complex Hilbert space H. We show that this notion of comonotonicity coincides with a form of commutativity. Intuitively, comonotonicity is to commutativity as monotonicity is to bounded variation. We also define a notion of Choquet expectation for elements of B (H)s...
متن کاملInclosures, Vagueness, and Self-Reference
In this paper, I start by showing that sorites paradoxes are inclosure paradoxes. That is, they fit the Inclosure Scheme which characterizes the paradoxes of self-reference. Given that sorites and self-referential paradoxes are of the same kind, they should have the same kind of solution. The rest of the paper investigates what a dialetheic solution to sorites paradoxes is like, connections wit...
متن کاملMedial commutativity
It is shown that all the assumptions for symmetric monoidal categories flow out of a unifying principle involving natural isomorphisms of the type (A ∧B) ∧ (C ∧D) → (A ∧ C) ∧ (B ∧D), called medial commutativity. Medial commutativity in the presence of the unit object enables us to define associativity and commutativity natural isomorphisms. In particular, Mac Lane’s pentagonal and hexagonal coh...
متن کاملSelf-reference in Arithmetic∗
AGödel sentence is oen described as a sentence saying about itself that it is not provable and a Henkin sentence as a sentence stating its own provability. We discuss what it couldmean for a sentence to ascribe to itself a property such as provability or unprovability. e starting point will be the answer Kreisel gave to Henkin’s problem. We describe how the properties of the supposedly self-re...
متن کاملVarieties of Self-Reference
The significance of any system of explicit representation depends not only on the immediate properties of its representational structures, but also on two aspects of the attendant circumstances: implicit relations among, and processes defined over, those individual representations, and larger circumstances in the world in which the whole representational system is embedded. This relativity of r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1982
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093870156