منابع مشابه
On the Circularity in the Sorites Paradox
I begin by highlighting the importance of the step size in the induction step of the sorites paradox. A careful analysis reveals that the step size can be characterised as a proper instance of the concept very small. After having accurately described the structure of sorites-susceptible predicates, I argue that the structure of the induction step in the Sorites Paradox is inherently circular. T...
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In recent years there has been a revitalised interest in nonclassical solutions to the semantic paradoxes. In this paper I show that a number of logics are susceptible to a strengthened version of Curry’s paradox. This can be adapted to provide a proof theoretic analysis of the ω-inconsistency in Lukasiewicz’s continuum valued logic, allowing us to better evaluate which logics are suitable for ...
متن کاملCircularity of Planar Graphs
A circular cover of a graph G is a cover {X0, · · · , Xn−1} of the topological space G by closed connected subsets, indexed over Zn, with the following properties: Each element in the cover contains a vertex of G, each vertex of G is contained in at most two elements of the cover, and Xa ∩ Xb 6= ∅ if and only if b − a ∈ {−1, 0, 1}. The circularity of G is the largest integer n for which there i...
متن کاملConstructive Truth and Circularity
We propose a constructive interpretation of truth which resolves the standard semantic paradoxes. 1. Heuristic concepts In intuitionism the law of excluded middle (LEM) is not accepted because the assignment of truth values to sentences is seen as a kind of open-ended process. Although the validity of any purported proof is supposed to be decidable, the truth value of a given sentence may not b...
متن کاملDiscrete Circularity Measure
A new circularity measure for discrete objects is introduced and an algorithm to compute this measure is presented. This measure equals 0 for all discrete circles and is strictly positive for all discrete objects which are not discrete circles.
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ژورنال
عنوان ژورنال: Logic and Logical Philosophy
سال: 2019
ISSN: 2300-9802,1425-3305
DOI: 10.12775/llp.2019.032