In literature:
Ineluctable modality of the visible: at least that if no more, thought through my eyes.
"Ulysses" by James Joyce
But this division into three modalities or into three states is far from giving the number of the manifestations of being.
"Delsarte System of Oratory" by Various
One explanation is, from the name of its first exponent, termed Sabellianism, or, the doctrine of a Modal Trinity.
"Exposition of the Apostles Creed" by James Dodds
So I suppose they really did practise between themselves these modal gymnastics.
"Jaffery" by William J. Locke
As to Modality, propositions are divided into Pure and Modal.
"Logic" by Carveth Read
Yet a reasoned Modalism may perhaps be assumed here.
"History of Dogma, Volume 1 (of 7)" by Adolph Harnack
Further, the Logos is not cut off and separated from God, nor is he a mere modality in him.
"History of Dogma, Volume 2 (of 7)" by Adolph Harnack
Others are modal in character, such as 'What shall we do with the drunken sailor?
"The Shanty Book, Part I, Sailor Shanties" by Richard Runciman Terry
Philosophers who define sensation as a modality of our Ego are much embarrassed later in demonstrating the existence of an outer world.
"The Mind and the Brain" by Alfred Binet
To sum up, the modalities of matter are supplied by the feminine germ.
"Reincarnation" by Th. Pascal
It is clear, he says, that the modalities of the action of the blind are explained by spatial representations.
"Essays Towards a Theory of Knowledge" by Alexander Philip
In what manner this gigantic process of social expropriation will be achieved, and under what modality, eludes all surmise.
"Woman under socialism" by August Bebel
Each line repeats the same modal class.
"A Critique of the Theory of Evolution" by Thomas Hunt Morgan
The history of Modals in Logic is a good illustration of intricate confusion arising from disregard of a clear traditional definition.
"Logic, Inductive and Deductive" by William Minto
He issues orders which are instantly obeyed, helping to maintain universal modality in the country.
"The Dictator" by Milton Lesser
Assertoric > Of Modality < Existence and Non-Existence.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5" by Various
It does so; but it governs the accusative case not objectively but modally.
"The English Language" by Robert Gordon Latham
The modal length of this group was nine inches in June, 1959.
"Fish Populations, Following a Drought, in the Neosho and Marais des Cygnes Rivers of Kansas" by James Everett Deacon
The modal period for completed clutches is the first third of June.
"The Breeding Birds of Kansas" by Richard F. Johnston
For Ockham, says Haureau, an idea was but a modality of the thinking subject.
"Science and Medieval Thought" by Sir Thomas Clifford Allbutt
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In poetry:
And by a modal artistry assemble
The very Sons of Morning, the ranked and choired
Heavens in sweet laudation of the Lord,
…….And make Saul cease to tremble.
"Saul And David" by Anthony Hecht
In news:
A Way to Think About Our Care That Includes Complementary and Alternative Modalities.
With the potential for therapeutic durability and a small chance of cure, surgical resection may offer improved survival compared to other therapeutic modalities .
LUMEDX Offers Multi- modality , Web-Enabled Cardiology PACS.
Cardiac CT — aka the Miracle Modality — Offers Another Diagnostic Breakthrough, But Don't Get Too Positive Yet.
Dual- modality PET/CT: An Imaging Technology that Changes the Care of Cancer Patients.
Overview of image modality combinations.
Ten years ago, Juergen Fritsch, chief scientist at Franklin, Tenn.-based M*Modal, was a postgraduate student at Carnegie Mellon, working on research for the government.
While such methods exist, they have not yet been applied to generating multi-modal behavior for NPCs .
Positron emission tomography (PET) has become an important diagnostic modality for radiologists and nuclear medicine physicians.
Comparison of the preferred presbyopic contact lens modalities and patients per day.
Comparison of the preferred presbyopic contact lens modalities and optometry school.
Despite the recent technological advances in CT and MR imaging, conventional radiography remains the primary imaging modality for the evaluation of metabolic bone disease.
Ultrasound is often the modality of choice for primary evaluation of renal transplants in the perioperative period and in follow-up.
The authors describe a spectrum of accessory ossicle and sesamoid pathology and suggest appropriate imaging modalities.
Data from virtually all modalities can be viewed and processed, including CT and MR angiography, cardiac CT and PET-CT.
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In science:
The structure of the paper is as follows: Section 2 contains basic notions from topology, topological model theory, and the topological semantics for modal logic.
Modal languages for topology: expressivity and definability
In Section 5, we consider a number of extensions of the basic modal language and characterize deﬁnability in these richer languages.
Modal languages for topology: expressivity and definability
In this section we recall some basic notions from topology, topological model theory, and the topological semantics for modal logic.
Modal languages for topology: expressivity and definability
We recall syntax and the topological semantics for the basic modal language.
Modal languages for topology: expressivity and definability
In this paper, however, we study the topological semantics, according to which modal formulas denote regions in a topological space.
Modal languages for topology: expressivity and definability
Deﬁnition 5 (Topological semantics of the basic modal language).
Modal languages for topology: expressivity and definability
Each modal formula φ deﬁnes a set of points in a topological model (namely the set of points at which it is true).
Modal languages for topology: expressivity and definability
We extend the notions of truth and validity to the sets of modal formulas in the usual way (e.g., X |= Γ means that X |= φ for each φ ∈ Γ).
Modal languages for topology: expressivity and definability
Given a class K of spaces, the set of modal formulas {φ ∈ ML | K |= φ} (“the modal logic of K”) is denoted by Log(K).
Modal languages for topology: expressivity and definability
Conversely, given a set of modal formulas Γ, the class of spaces {X | X |= Γ} is denoted by Sp(Γ).
Modal languages for topology: expressivity and definability
Thus, in this notation, a class K is modally deﬁnable iff Sp(Log(K)) = K.
Modal languages for topology: expressivity and definability
The following example illustrates the concept of modal deﬁnability.
Modal languages for topology: expressivity and definability
This shows that all the above results on Lt also apply to modal formulas.
Modal languages for topology: expressivity and definability
Let Σ ⊆ ML be a set of modal formulas (in a countable signature).
Modal languages for topology: expressivity and definability
In fact, a slight variation of this translation shows that modal formulas can be mapped to Lt -formulas containing at most two point variables and one open variable.
Modal languages for topology: expressivity and definability
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