scholarly journals Negation as Cancellation, Connexive Logic, and qLPm

2018 ◽  
Vol 15 (2) ◽  
pp. 476 ◽  
Author(s):  
Heinrich Wansing ◽  
Daniel Skurt

In this paper, we shall consider the so-called cancellation view of negation and the inferential role of contradictions. We will discuss some of the problematic aspects of negation as cancellation, such as its original presentation by Richard and Valery Routley and its role in motivating connexive logic. Furthermore, we will show that the idea of inferential ineffectiveness of contradictions can be conceptually separated from the cancellation model of negation by developing a system we call qLPm, a combination of Graham Priest’s minimally inconsistent Logic of Paradox with q-entailment (quasi-entailment) as introduced by Grzegorz Malinowski.

Author(s):  
Ned Block

Mental (or semantic) holism is the doctrine that the identity of a belief content (or the meaning of a sentence that expresses it) is determined by its place in the web of beliefs or sentences comprising a whole theory or group of theories. It can be contrasted with two other views: atomism and molecularism. Molecularism characterizes meaning and content in terms of relatively small parts of the web in a way that allows many different theories to share those parts. For example, the meaning of ‘chase’ might be said by a molecularist to be ‘try to catch’. Atomism characterizes meaning and content in terms of none of the web; it says that sentences and beliefs have meaning or content independently of their relations to other sentences or beliefs. One major motivation for holism has come from reflections on the natures of confirmation and learning. As Quine observed, claims about the world are confirmed not individually but only in conjunction with theories of which they are a part. And, typically, one cannot come to understand scientific claims without understanding a significant chunk of the theory of which they are a part. For example, in learning the Newtonian concepts of ‘force’, ‘mass’, ‘kinetic energy’ and ‘momentum’, one does not learn any definitions of these terms in terms that are understood beforehand, for there are no such definitions. Rather, these theoretical terms are all learned together in conjunction with procedures for solving problems. The major problem with holism is that it threatens to make generalization in psychology virtually impossible. If the content of any state depends on all others, it would be extremely unlikely that any two believers would ever share a state with the same content. Moreover, holism would appear to conflict with our ordinary conception of reasoning. What sentences one accepts influences what one infers. If I accept a sentence and then later reject it, I thereby change the inferential role of that sentence, so the meaning of what I accept would not be the same as the meaning of what I later reject. But then it would be difficult to understand on this view how one could rationally – or even irrationally! – change one’s mind. And agreement and translation are also problematic for much the same reason. Holists have responded (1) by proposing that we should think not in terms of ‘same/different’ meaning but in terms of a gradient of similarity of meaning, (2) by proposing ‘two-factor’ theories, or (3) by simply accepting the consequence that there is no real difference between changing meanings and changing beliefs.


1968 ◽  
Vol 20 (4) ◽  
pp. 405-408 ◽  
Author(s):  
V. K. Kothurkar

Two experimental studies bear out the assertion that the probability of short-term recall of verbal units is adversely affected by the similarity of interpolated items. The possibility is conceded that some confounding of trace decay and interference factors may occur whenever an interval between an original presentation and its subsequent recall is filled with some intervening activity; yet it may be concluded that the results broadly corroborate and support the interference hypothesis as the major explanation of short-term forgetting, and of the decisive role of similarity.


Author(s):  
Denis Bonnay ◽  
Benjamin Simmenauer

What is a logical constant? In which terms should we characterize the meaning of logical words like “and”, “or”, “implies”? An attractive answer is: in terms of their inferential roles, i.e. in terms of the role they play in building inferences. More precisely, we favor an approach, going back to Dosen and Sambin, in which the inferential role of a logical constant is captured by a double line rule which introduces it as reflecting structural links (for example, multiplicative conjunction reflects comma on the right of the turnstyle). Rule-based characterizations of logical constants are subject to the well known objection of Prior’s fake connective, tonk. We show that some double line rules also give rise to such pseudo logical constants. But then, we are able to find a property of a double line rules which guarantee that it defines a genuine logical constant. Thus we provide an alternative answer to Belnap’s requirement of conservatity in terms of a local requirement on double line rules.


2018 ◽  
Vol 4 (3) ◽  
Author(s):  
Lynne Tirrell

The very rules of our language games contain mechanisms of disregard. Philosophy of language tends to treat speakers as peers with equal discursive authority, but this is rare in real, lived speech situations. This paper explores the mechanisms of discursive inclusion and exclusion governing our speech practices, with a special focus on the role of gender attribution in undermining women’s authority as speakers. Taking seriously the metaphor of language games, we must ask who gets in the game and whose moves can score. To do this, I develop an eclectic analysis of language games using basic inferential role theory and the concept of a semantic index, and develop the distinction between positional authority and expertise authority, which often conflict for members of oppressed groups. Introducing the concepts of master switches and sub-switches that attach to the index and change scorekeeping practices, I argue that women’s gender status conflicts with our status as authoritative speakers because sex marking in semantics functions as a master switch—“the F-switch”—on the semantic index, which, once thrown, changes the very game. An advantage of using inferentialism for understanding disregard of women’s discursive authority is that it locates the problem in the sanctioned moves, in the deontic structure of norms and practices of scorekeeping, and not primarily in the individual intentions of particular people.


2018 ◽  
Vol 1 (1) ◽  
pp. 143-154
Author(s):  
Francesco Gandellini

Abstract This paper intends to offer a new assessment of the “Ontological Difference” (OD), one of Martin Heidegger’s mainstays, in the light of the metaphysical view called “dialetheism”. In the first paragraph I briefly summarize the main argument of Heidegger’s contradiction of Being, where OD is present as a premise. In the second paragraph I introduce dialetheism, indicate two kinds of dialetheic solutions to the paradox and explain why they face comeback troubles from OD. The third paragraph is devoted to a review of Heidegger’s uses of OD and underlines the crucial role of negation in it. In the fourth paragraph I investigate the philosopher’s account of negation and show similarities with the account provided by the paraconsistent logic called “Logic of Paradox”. The fifth paragraph puts forward two possible readings of OD, the first based on the classical notion of negation and the second on the notion of negation pointed out in the previous paragraph. The second reading is proved suitable for dialetheists and in accordance with the exegesis of some textual passages from Heidegger’s late works.


2020 ◽  
Vol 12 (24) ◽  
pp. 10642
Author(s):  
Scott Weller ◽  
Bing Ran

Social entrepreneurship is a paradoxical phenomenon wherein seemingly incompatible elements such as business and social logics coexist. Previous research has been insufficient to systematically describe how social entrepreneurship organizations (SEO) try to balance these logics and why these same paradoxical elements make social entrepreneurship what it is. Using the systematic literature review method, this paper examines six major paradoxes and how they affect both the theory and practice of social entrepreneurship by furthering the nascent discussion about the role of paradoxes in SEOs. Viewed through the lens of organizational logics, this paper argues that the dynamic interplay between these paradoxes initiates and drives the innovations and changes necessary for the very existence of SEOs.


JAMA ◽  
1966 ◽  
Vol 195 (12) ◽  
pp. 1005-1009 ◽  
Author(s):  
D. J. Fernbach
Keyword(s):  

JAMA ◽  
1966 ◽  
Vol 195 (3) ◽  
pp. 167-172 ◽  
Author(s):  
T. E. Van Metre

2018 ◽  
Vol 41 ◽  
Author(s):  
Winnifred R. Louis ◽  
Craig McGarty ◽  
Emma F. Thomas ◽  
Catherine E. Amiot ◽  
Fathali M. Moghaddam

AbstractWhitehouse adapts insights from evolutionary anthropology to interpret extreme self-sacrifice through the concept of identity fusion. The model neglects the role of normative systems in shaping behaviors, especially in relation to violent extremism. In peaceful groups, increasing fusion will actually decrease extremism. Groups collectively appraise threats and opportunities, actively debate action options, and rarely choose violence toward self or others.


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