Search results for "TRANSCEND"

showing 10 items of 93 documents

Algebraicity of analytic maps to a hyperbolic variety

2018

Let $X$ be an algebraic variety over $\mathbb{C}$. We say that $X$ is Borel hyperbolic if, for every finite type reduced scheme $S$ over $\mathbb{C}$, every holomorphic map $S^{an}\to X^{an}$ is algebraic. We use a transcendental specialization technique to prove that $X$ is Borel hyperbolic if and only if, for every smooth affine curve $C$ over $\mathbb{C}$, every holomorphic map $C^{an}\to X^{an}$ is algebraic. We use the latter result to prove that Borel hyperbolicity shares many common features with other notions of hyperbolicity such as Kobayashi hyperbolicity.

Mathematics - Differential GeometryPure mathematicsMathematics::Dynamical SystemsGeneral Mathematics010102 general mathematicsHolomorphic functionAlgebraic varietyType (model theory)01 natural sciencesMathematics::Geometric Topology010101 applied mathematicsMathematics - Algebraic GeometryDifferential Geometry (math.DG)Scheme (mathematics)FOS: MathematicsAffine transformationTranscendental number0101 mathematicsVariety (universal algebra)Algebraic numberAlgebraic Geometry (math.AG)32Q45Mathematics
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Il campo della metafisica. Studi in onore di Giuseppe Nicolaci, voll. 2

2018

Metaphysics Giuseppe Nicolaci Principles Transcendental Critique of Metaphysics
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Three dimensional reductions of four-dimensional quasilinear systems

2017

In this paper we show that integrable four dimensional linearly degenerate equations of second order possess infinitely many three dimensional hydrodynamic reductions. Furthermore, they are equipped infinitely many conservation laws and higher commuting flows. We show that the dispersionless limits of nonlocal KdV and nonlocal NLS equations (the so-called Breaking Soliton equations introduced by O.I. Bogoyavlenski) are one and two component reductions (respectively) of one of these four dimensional linearly degenerate equations.

Nonlinear Sciences - Exactly Solvable and Integrable SystemsIntegrable system010102 general mathematicsInverse scattering[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]FOS: Physical sciencesStatistical and Nonlinear PhysicsDispersionFirst order01 natural sciencesNonlinear Sciences::Exactly Solvable and Integrable SystemsMathematical methods[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciences010307 mathematical physicsExactly Solvable and Integrable Systems (nlin.SI)0101 mathematicsTranscendental number theoryNonlinear Sciences::Pattern Formation and SolitonsMathematical PhysicsMathematicsMathematical physics
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Creativity and Aesthetic Experience: The Problem of the Possibility of Beauty and Sensitiveness

2004

1. CREATIVITY, POETICS AND AESTHETICS Creativity may be regarded as one of the most complicated primary categories of aesthetics, and one that is most closely connected with such traditional aesthetic categories as beauty, for instance. The fulfilment of creative work is most visible in a work of art and refers to aesthetics as a sphere of expression/manifestation. Any discussion between an artist and an art philosopher or an art critic turns into a contention of a sort concerning the question of what comes first – manifestation or perception and evaluation. The view that creative work is feasible in any sphere of cultural activity as well as in science and technology, used to predominate i…

Phenomenology (philosophy)Creative workWork of artAestheticsPoeticsmedia_common.quotation_subjectBeautyTranscendental numberArtCreativityEveryday Aestheticsmedia_common
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Building bridges within and across Husserlian phenomenology

2018

A book review of Dan Zahavi. Husserl’s Legacy. Phenomenology, Metaphysics & Transcendental Philosophy, Oxford University Press, 2017, 236 pp. nonPeerReviewed

Phenomenology (philosophy)Husserl Edmundkirja-arvostelutPhilosophyfenomenologiaGeneral Earth and Planetary SciencesMetaphysicsTranscendental philosophyGeneral Environmental ScienceEpistemology
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Theodor Celms and the “Realism–Idealism” Controversy

2020

It was in his research manuscripts from 1905, also known as the Seefelder Blatter, where Edmund Husserl for the first time introduced the idea of the phenomenological reduction. The introduction of this idea, which he developed and refined years to come, marked the beginning not only of an important turn in Husserl’s philosophy toward transcendental phenomenology, but also the advent of a growing frustration and critique even among Husserl’s own students. The discussion about the ontological status of reality is otherwise known as the realism–idealism controversy. One of the first critiques in a published form came from the Latvian philosopher and Husserl’s student in Freiburg, Theodor Celm…

Phenomenology (philosophy)IdealismPhilosophylanguageLatvianTranscendental numberSolipsismTranscendental idealismRealismIntersubjectivitylanguage.human_languageEpistemology
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The Phenomenological Movement: A Tradition without Method? Merleau-Ponty and Husserl

2002

Section I tries to analyze the ambivalence of Merleau-Ponty ‘s references to Husserl. On the one hand, they indicate a deconstruction of Husserl ‘s phenomenological method; on the other hand, there are attempts to “save” Husserl. Section II is a critical evaluation ofMerleau-Ponty ‘s account of the development ofHusserl ‘s phenomenology. Section III deals with his rejection of the reduction, the account of eidetic intuition, and intentionality. Section IV is an attempt to characterize the motives behind Merleau-Ponty ‘s disinterest in method.

Phenomenology (philosophy)IntentionalityPhilosophyMerleau pontyReligious studiesAmbivalencePhenomenological sociologyTranscendental idealismPhenomenological methodEpistemology
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Phenomenological Ideas in Latvia: Kurt Stavenhagen and Theodor Celms on Husserl’s Transcendental Phenomenology

2000

It is commonly known that after the publication of Husserl’s Logical Investigations a great number of students from different countries came to Gottingen and, after 1916, to Freiburg to study phenomenology with Husserl. Among them were students from the Baltic states. The best-known of them, Avon Gurwitsch and Emmanuel Levinas, left their native country Lithuania to study and never came back. Their subsequent philosophical careers were connected with the United States and France, respectively. Quite different is the case of Husserl’s students from Latvia. Unlike E. Levinas and A. Gurwitsch, all of them returned to Latvia after their studies in Gottingen and Freiburg. Therefore it is possibl…

Phenomenology (philosophy)PsychoanalysisHistoryTranscendental numberSocial scienceTranscendental philosophy
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The Problem of Mind and Other Minds in William James’s Pragmatism

2008

The chapter explicates William James’s pragmatist conception of the human mind and his way of approaching the problem of other minds. James’s pragmatism is usually classified among empiricist and associationist philosophies of mind, but as is shown, it can also be understood according to its Kantian features. In James’s view, the mind is really an active and a purpose-oriented organizing principle which structures our lifeworld. The main difference between James’s pragmatism and Kant’s transcendental philosophy is that James does not make any explicit distinction between psychological and philosophical inquiries into the mind; he based his philosophy of mind on the same introspective method…

Philosophy of mindIndividualismPragmatismProblem of other mindsPhilosophymedia_common.quotation_subjectMetaphysicsSolipsismEmpiricismTranscendental philosophyEpistemologymedia_common
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Edusemiotics, Existential Semiotics, and Existential Pedagogy

2016

This chapter examines how the edusemiotic understanding of education can be developed by utilizing certain notions arising from existential pedagogy and existential semiotics. The chapter begins by the authors’ interpretation of Martin Heidegger’s semiotically useful concept of unconcealment in terms of a pedagogical theory compatible with the concept of Bildung. The chapter proceeds to demonstrate how it has been implemented in philosophy of education so as to articulate an existentially discontinuous form of education. Education viewed as the most important task of/for humanity entails a fundamental disruption of continuity: we do not know what kind of humanity we want or need as a way of…

PhilosophyInterpretation (philosophy)05 social sciences050301 education06 humanities and the arts0603 philosophy ethics and religionSocial semioticsExistentialismEpistemologyTransformative learning060302 philosophyPedagogySemioticsTranscendental numberPhilosophy of educationTranscendental philosophy0503 education
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