scholarly journals Classical truth in higher types

2008 ◽  
Vol 54 (3) ◽  
pp. 240-246
Author(s):  
Ulrich Berger
Keyword(s):  
Higher Types ◽  
Classical Truth

On the Pituitary of the Perch (Peroa Fluviatilis)

1942 ◽  
Vol s2-83 (331) ◽  
pp. 299-316
Author(s):  
T. KERR
Keyword(s):  
Connective Tissue ◽  
Blood Vessels ◽  
Perca Fluviatilis ◽  
Cell Types ◽  
Anterior Lobe ◽  
Intermediate Lobe ◽  
General Description ◽  
Perch Perca Fluviatilis ◽  
Higher Types ◽  
Different Cell Types

1. A general description is given of the pituitary of the perch (Perca fluviatilis L.), and histological details of its various parts. The subdivisions of the glandular component are confluent with each other but distinguished by their different cell types. The nervous lobe makes contact with all three of the subdivisions, but is separated from them by a layer of connective tissue, incomplete in particular areas. 2. The anterior glandular region (anterior lobe) has an anterior chromophil and a posterior chromophobe zone. The middle glandular region (transitional lobe) possesses brightly staining acidophils and basophils as well as chromophobes. The acidophils form a dorsal sheet, deeply indented by processes of the nervous lobe, the basophils lie ventrally and posteriorly, and chromophobes are common towards the extremities of the indentations. The posterior glandular region (intermediate lobe) is elaborately penetrated by nervous lobe processes; the cells are small and consist of amphiphils, dull basophils, and occasional dull acidophils. The possible homologies of these regions to the lobes of higher types are discussed. The nervous lobe is of loose glial tissue with many nuclei and blood vessels and some reticular and collagenous fibres. 3. Strongly acidophil spheres of various sizes and in various numbers occur in the middle glandular region. They originate in ‘sphere cells’ resembling eosinophil leucocytes and after enlarging become free in the tissues of the region. Later they appear to pass into the posterior processes of the nervous lobe to be the larger bodies of the Herring material. Finally these larger elements appear to break down to form a fine granulation, whose further fate could not be followed.

Normality operators and classical recapture in many-valued logic

2018 ◽  
Vol 28 (5) ◽  
pp. 657-683
Author(s):  
Roberto Ciuni ◽  
Massimiliano Carrara
Keyword(s):  
Fixed Point ◽  
Final Part ◽  
The Third ◽  
Truth Value ◽  
Formal Behaviour ◽  
Classical Truth

AbstractIn this paper, we use a ‘normality operator’ in order to generate logics of formal inconsistency and logics of formal undeterminedness from any subclassical many-valued logic that enjoys a truth-functional semantics. Normality operators express, in any many-valued logic, that a given formula has a classical truth value. In the first part of the paper we provide some setup and focus on many-valued logics that satisfy some (or all) of the three properties, namely subclassicality and two properties that we call fixed-point negation property and conservativeness. In the second part of the paper, we introduce normality operators and explore their formal behaviour. In the third and final part of the paper, we establish a number of classical recapture results for systems of formal inconsistency and formal undeterminedness that satisfy some or all the properties above. These are the main formal results of the paper. Also, we illustrate concrete cases of recapture by discussing the logics $\mathsf{K}^{\circledast }_{3}$, $\mathsf{LP}^{\circledast }$, $\mathsf{K}^{w\circledast }_{3}$, $\mathsf{PWK}^{\circledast }$ and $\mathsf{E_{fde}}^{\circledast }$, that are in turn extensions of $\mathsf{{K}_{3}}$, $\mathsf{LP}$, $\mathsf{K}^{w}_{3}$, $\mathsf{PWK}$ and $\mathsf{E_{fde}}$, respectively.

scholarly journals Croonian lecture : The origin of mammals

1913 ◽  
Vol 87 (592) ◽  
pp. 87-88
Keyword(s):  
Single Case ◽  
Lower Jurassic ◽  
Upper Permian ◽  
Occipital Condyle ◽  
Steady Increase ◽  
Lower Permian ◽  
Secondary Palate ◽  
Middle And Upper Permian ◽  
Higher Types ◽  
Evolution Of Mammals

An endeavour is made to trace the evolution of mammals from Cotylosaurian ancestors through the carnivorous Therapsida. In Upper Carboniferous times the line probably passed through some primitive generalised Pelycosaurs; in Lower Permian through primitive, probably Therocephalian, Therapsids. In Middle and Upper Permian the line passed through the Gorgonopsia. In Triassic times the mammalian ancestors were small generalised Cynodonts. In Lower Jurassic the mammals are so Cynodont-like, and the Cynodonts so mammal-like, that in no single case are we absolutely certain which is which. In the Therocephalia, the Gorgonopsia, and the Cynodontia, the skull is very mammal-like. The zygomatic arch is, as in mammals, formed by the jugal and the squamosal. The teeth are divided into incisors, canines and molars. In the later Gorgonopsians there is an imperfect secondary palate; in Cynodonts a complete secondary palate as in mammals. In Permian Therapsids there is a single occipital condyle; in the Triassic Cynodonts there may he a single condyle slightly divided or two exoccipital condyles. There is, on passing from earlier to later types, a steady increase in the size of the dentary and decrease in the size of the other elements of the jaw. The quadrate also becomes much reduced in the higher types. In Gorgonopsians and probably all earlier types the arch of the atlas is a pair of bones; in Cynodonts, as in mammals, there is a single arch.

scholarly journals Presupposition, negation and trivalence

2000 ◽  
Vol 36 (2) ◽  
pp. 261-297 ◽  
Author(s):  
PIETER A. M. SEUREN
Keyword(s):  
Natural Language ◽  
Speech Act ◽  
Propositional Content ◽  
Natural Consequence ◽  
Natural Language Semantics ◽  
Close Inspection ◽  
Presupposition Failure ◽  
Language Semantics ◽  
Semantic Properties ◽  
Classical Truth

Close inspection of presupposition(= P-)cancelling and other metalinguistic negation data shows that natural language semantics must be (at least) trivalent, with the values ‘true’, ‘minimally false’ (assertion failure) and ‘radically false’ (presupposition failure). It is argued that presupposition is a semantic phenomenon originating in a distinction between two kinds of satisfaction conditions for predicates, the PRECONDITIONS generating presuppositions, and the UPDATE CONDITIONS generating classical entailments. The trivalence of language is a natural consequence of the acceptance of occasion sentences in an incremental Discourse Semantics. The logical properties of sentences are considered secondary and derived from their semantic properties. These include, besides propositional content, a speech act quality, specifying the personal commitment taken on by the speaker not only in respect of the propositional content, but also with regard to the linguistic forms selected. It is suggested that the classical truth-functional operators should be redefined as instructions under speech act commitment. The negation operator is singled out: it is redefined as an instruction to reject either an incrementable sentence, which may be a comment about a form used or to be used (P-preserving negation), or an already incremented sentence to be removed from the discourse along with some presupposition (P-cancelling negation).

Logics based on linear orders of contaminating values

2019 ◽  
Vol 29 (5) ◽  
pp. 631-663 ◽  
Author(s):  
Roberto Ciuni ◽  
Thomas Macaulay Ferguson ◽  
Damian Szmuc
Keyword(s):  
Classical Logic ◽  
Infinite Family ◽  
Linear Ordering ◽  
Consequence Relations ◽  
Sequent Calculi ◽  
Linear Orders ◽  
Wide Range ◽  
Countably Infinite ◽  
Wide Family ◽  
Classical Truth

AbstractA wide family of many-valued logics—for instance, those based on the weak Kleene algebra—includes a non-classical truth-value that is ‘contaminating’ in the sense that whenever the value is assigned to a formula $\varphi $, any complex formula in which $\varphi $ appears is assigned that value as well. In such systems, the contaminating value enjoys a wide range of interpretations, suggesting scenarios in which more than one of these interpretations are called for. This calls for an evaluation of systems with multiple contaminating values. In this paper, we consider the countably infinite family of multiple-conclusion consequence relations in which classical logic is enriched with one or more contaminating values whose behaviour is determined by a linear ordering between them. We consider some motivations and applications for such systems and provide general characterizations for all consequence relations in this family. Finally, we provide sequent calculi for a pair of four-valued logics including two linearly ordered contaminating values before defining two-sided sequent calculi corresponding to each of the infinite family of many-valued logics studied in this paper.

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