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We may take for instance a content S -P, not yet asserted, and may claim for modality the power of affirming this content S -P, unaltered and unqualified, in several ways. ... The temptation is one to which we are much less like to submit these days, with modality now treated using object-language operators which enter into the general pattern of assertoric claims. ... of modal operators beyond either zero or one, and hence allows no real notion of higherorder vagueness. ...doi:10.1093/mind/fzp107 fatcat:ukuoebxoynhhnp5xxubkixzk4m
We introduce modal logical systems, with generalized operators, for the precise treatment of assertions involving some versions of such vague notions. ... Vague notions, such as 'generally', 'rarely', 'often', 'almost always', 'a meaningful subset of a whole', 'most', etc., occur often in ordinary language and in some branches of science. ... Modal Logics for 'Generally' and 'Rarely' In this section, we examine modal logics to deal with vague notions. ...doi:10.1093/jigpal/jzp041 fatcat:b5r5gvxcqrdaddymup36eolsoe
Most descriptions of higher-order vagueness in terms of traditional modal logic generate so-called higher-order vagueness paradoxes. The one that doesn't (Williamson's) is problematic otherwise. ... However, there is no need for this. ... The phrase 'one cannot tell whether' is used as a natural language standin for borderlineness as defined modally in this paper. ...doi:10.1111/j.1467-8349.2015.00244.x fatcat:b67quoussne2leturgvrxx3kiu
I argue that a commitment to the soundness of the argument from vagueness for temporal parts compels one to commit to the soundness of the argument from vagueness for modal parts. ... Rather, I will present a version of the argument from vagueness, which-if successful-commits one to the existence of modal parts. ... My initial definition of modal part assumed that the modal notion of 'world-bound' is the modal analog of the temporal notion of 'instantaneous'. ...doi:10.1111/1746-8361.12073 fatcat:kpb7ga5evrce7dq7eoyiqzm5ju
For one thing, it exploits a strong analogy between vagueness on the one hand and metaphysical and temporal modalities on the other. ... But this notion of a precisified world is just one of many precisifications of the originally vague notion of precisified world. ...doi:10.1111/j.0029-4624.2004.00476.x fatcat:h2f63hy32zdifjkbdamimcmeoq
The notion of a structure with graded predicates is then introduced, authorizing the definition of a logical rule of derivation for vague predicates, the definition of a topology on the set of n-tuples ... The notion of context is introduced as a set of structures (a structure is composed of a universe of objects and a meaning function). A definition of vagueness for a predicate is introduced. ...
For a vague sentence A we can have A& ~ DA. ... In this paper some notions from permutation group theory are ...
We provide a completeness result for the basic polymodal neighbourhood system and show how some important systems based on neighbourhood like semantics can be simulated as subsystems of ours. ... P Modal logic for vague notions Modal logic for vague notions was introduced in  and further developed in  . ... Section 4 presents the systems of modal logic for vague notions  , graded modalities  , and default modal logic  as subsystems of PNL. ...doi:10.1016/j.entcs.2009.07.048 fatcat:csj7ch6jnzdh3dcfetd4nvdts4
S4M is one of the modal counterparts of the intuitionistic sentential calculus (IPC) and we use this fact to explain why IPC is the correct sentential logic to use when reasoning with vague statements. ... S4M opens the way to an account of higher-order vagueness which avoids the paradoxes that have been thought to infect the notion. ... Acknowledgements We thank Peter Fritz, Øystein Linnebo, Christopher Peacocke, Sven Rosenkranz, Timothy Williamson, the participants at the workshop Vagueness and Modality: Philosophical Applications of ...doi:10.1007/s10992-019-09507-x fatcat:qjogbz4hknbydfxachiesy5k7e
Sophia. Human and Religious Studies Bulletin
ФІЛОСОФСЬКІ ПРОБЛЕМИ МЕНТАЛІСТСЬКОЇ ЛОГІКИ
ФІЛОСОФСЬКІ ПРОБЛЕМИ МЕНТАЛІСТСЬКОЇ ЛОГІКИ
The main problem in this case is philosophical interpretation of modality. Minor problems include shared content, many leveled self-referential structures and vagueness. ... As for the action logics, mentalistic logic also studies rational behavior but does it on the other lever and often with a different purpose. ... They can be grouped into three particular issues: vagueness, many leveled and self-referential structures and shared content. Vagueness is a fundamental notion for mental processes. ...doi:10.17721/sophia.2019.14.9 fatcat:dowu4pd7zjf2dj6wytozbcex3y
Thus, for a paradox built on 'tall', the dimension D is height. 5 Multidimensional Sorites-vague predicates are considered only insofar as they give rise to one-dimensional Sorites paradoxes. ... The most basic case of (CC) is then CFa → CCFa, with F for a simple, ordinary language, Sorites-vague predicate and a for a designator. ... vagueness, and especially to Stewart Shapiro, who read the paper for Oxford University Press. ...doi:10.1093/acprof:oso/9780199696482.003.0010 fatcat:pafok2ylcfajvgqhudq4ug3kjm
This paper explains these unexpected vagueness effects by adopting a modal theory of the progressive and a gradable theory of modality. ... It is then possible to explain vagueness effects in the progressive as a result of the same semantic phenomena that generate vagueness effects in gradable adjectives like healthy. ... This dependence on some notion of 'the normal course of events' is a hallmark of modal theories of the progressive. 13 Without undertaking the Herculean (or maybe Sisyphean) task of explicating this notion ...doi:10.3765/salt.v24i0.2431 fatcat:wb6fwdjh6bchrdyqzxjc4j52y4
The focus is on the modal and semi-modal verbs must, need to, have to, devoir and falloir. ... The aims of the study are to look at the expression of obligation in the comparable genres in the two languages and to compare the contexts of use of deontic modal and semi-modal verbs, i.e. comparing ... a relatively fine-grained level of social context matching: a genre may have its own twist on an evolutionary dynamic, stemming from the strategies and situational constraints guiding its speakers. ...doi:10.35360/njes.343 fatcat:jp3j3xaasbhq3c54tydw7ulfk4
Out of 62 original submissions to LORI-5, 32 full papers were selected for presentation based on reviews by at least two-and on average three-members of the LORI-5 program committee. ... In the current special issue, the reader will find several mainstays of the LORI series: modal and epistemic logics; theories of decision making, strategic reasoning, and information aggregation; and connections ... Acknowledgements We thank Otávio Bueno for his patience and support in overseeing this issue. ...doi:10.1007/s11229-017-1640-4 fatcat:4n5bvebj35e6taqhgmxz7dzscq
Oxford Studies in Metaphysics
For example, Merricks writes: One alleged variety of vagueness is metaphysical. ... (Merricks, 2001, p.145) And Williamson: . . . if reality is vague, it is vague how things are, so for some way it is vague whether things are that way; thus, for some state of affairs S, it is vague whether ...doi:10.1093/acprof:oso/9780199603039.003.0003 fatcat:sjxwln2pjnav3c7qzvd24wpbzm
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