On revision operators

2003 ◽  
Vol 68 (2) ◽  
pp. 689-711 ◽  
Author(s):  
P. D. Welch
Keyword(s):  
Fixed Points ◽  
Alternative Account ◽  
Revision Operations ◽  
Revision Sequences

AbstractWe look at various notions of a class of definability operations that generalise inductive operations, and are characterised as “revision operations”. More particularly we: (i) characterise the revision theoretically definable subsets of a countable acceptable structure; (ii) show that the categorical truth set of Belnap and Gupta's theory of truth over arithmetic using fully varied revision sequences yields a complete Σ31 set of integers; (iii) the set of stably categorical sentences using their revision operator Ψ is similarly Σ31 and which is complete in GÖdel's universe of constructive sets L; (iv) give an alternative account of a theory of truth—realistic variance that simplifies full variance, whilst at the same time arriving at Kripkean fixed points.

On Gupta-Belnap Revision Theories of Truth, Kripkean Fixed Points, and The Next Stable Set

2001 ◽  
Vol 7 (3) ◽  
pp. 345-360 ◽  
Author(s):  
P.D. Welch
Keyword(s):  
Fixed Points ◽  
Stable Set ◽  
Revision Theory ◽  
Theories Of Truth ◽  
Revision Theory Of Truth ◽  
Circular Definitions ◽  
Revision Sequences

AbstractWe consider various concepts associated with the revision theory of truth of Gupta and Belnap. We categorize the notions definable using their theory of circular definitions as those notions universally definable over the next stable set. We give a simplified (in terms of definitional complexity) account of varied revision sequences—as a generalised algorithmic theory of truth. This enables something of a unification with the Kripkean theory of truth using supervaluation schemes.

Frustrating Absences

Disputatio ◽  
2019 ◽  
Vol 11 (53) ◽  
pp. 45-62
Author(s):  
André J. Abath
Keyword(s):  
Everyday Life ◽  
Alternative Account ◽  
The World

Abstract Experiences of absence are common in everyday life, but have received little philosophical attention until recently, when two positions regarding the nature of such experiences surfaced in the literature. According to the Perceptual View, experiences of absence are perceptual in nature. This is denied by the Surprise-Based View, according to which experiences of absence belong together with cases of surprise. In this paper, I show that there is a kind of experience of absence—which I call frustrating absences—that has been overlooked by the Perceptual View and by the Surprise Based-View and that cannot be adequately explained by them. I offer an alternative account to deal with frustrating absences, one according to which experiencing frustrating absences is a matter of subjects having desires for something to be present frustrated by the world. Finally, I argue that there may well be different kinds of experiences of absence.

On $\alpha$-nonexpansive mapping and fixed-points in Banach spaces

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
Prondanai Kaskasem ◽  
Chakkrid Klin-eam ◽  
Suthep Suantai
Keyword(s):  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Banach Spaces

Fixed Points of Sequences of Mappings

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
C. Ganesa Moorthy ◽  
S. Iruthaya Raj
Keyword(s):  
Fixed Points

Introduction to the cognitive abilities account for the reminiscence bump in the temporal distribution of autobiographical memory

2019 ◽  
Author(s):  
Steve M. J. Janssen
Keyword(s):  
Autobiographical Memory ◽  
Cognitive Abilities ◽  
Memory Performance ◽  
Memory Function ◽  
Early Adulthood ◽  
Temporal Distribution ◽  
Alternative Account ◽  
Reminiscence Bump ◽  
Significant Events ◽  
Cue Words

People tend to recall more specific personal events from adolescence and early adulthood than from other lifetime periods, a finding known as the reminiscence bump. Several explanations have suggested that events from the reminiscence bump are especially emotional, important, or positive, but studies using cue words have not found support for these claims. An alternative account postulates that cognitive abilities function optimally in adolescence and early adulthood, which may cause more memories to be stored in those lifetime periods. Although other studies have previously discussed the cognitive abilities account as a possible explanation for the reminiscence bump, it was only recently shown that cognitive abilities are indeed related to autobiographical memory performance. When this recent finding is combined with previous findings that cognitive abilities as well as autobiographical memory function optimally in adolescence and early adulthood, they suggest that the cognitive abilities account is a promising explanation for the reminiscence bump in the temporal distribution of word-cued memories. However, because the account does not aim to explain the reminiscence bump in the distribution of highly significant events, it should be regarded as complementary to the existing accounts.

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