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Leibniz e Hume sobre a indiferen?a
Danowski, Déborah;
Kriterion: Revista de Filosofia , 2003, DOI: 10.1590/S0100-512X2003000200005
Abstract: in this paper i briefly compare some of the divergent reasons given by leibniz and hume for their common criticism against the idea of liberty of indifference. for leibniz, the harmonic connection among concrete individual substances is expressed exclusively by means of relations that are intrinsic to their complete concepts, so that indifference can only exist within the sphere of incomplete notions or concepts of reason, the only one where it is possible to isolate a few terms and relations from all the infinite others that compose the complete substances. in hume, there is a de facto impossibility of stepping out of the regularity of the extrinsic causal relations, which, by means of the application of general rules, ends up encompassing the whole of experience, albeit without any rational guarantee. in consequence, he confines indifference to a quasi ficticious native state of the mind, which precedes experience, or else to the limited sphere of a few situations that make this native state reappear within experience itself.
A vontade como perfei o pura e a nova concep o n o-eudemonística do amor segundo Duns Scotus  [PDF]
Seifert, Josef
Veritas , 2005,
Abstract: Este estudo tem por objetivo a filosofia scotista dos transcendentais, em especial a filosofia dos transcendentais como "perfei es puras". Isso levará a uma considera o particular da "liberdade" como uma perfei o pura, bem como a concep o de um novo conceito de amor, n o presente no eudemonismo aristotélico-tomístico. The object of this study is Scotus’s philosophy of the transcendentals, particularly the philosophy of the transcendentals as “pure perfections”. That will bring into a special consideration of “freedom” as a pure perfection, as well as into the formulation of a new concept of love, not to be found in the Aristotelian-Thomistic eudaimonism.
Leibniz bialgebras  [PDF]
A. Rezaei-Aghdam,GH. Haghighatdoost,L. Sedghi-Ghadim
Physics , 2014,
Abstract: We define the bialgebra structure for the Leibniz algebras and prove the correspondence between the Leibniz bialgebras (for different right or left cases) and its dual. We also define the coboundary Leibniz bialgebras, the classical r-matrices and Yang-Baxter equation related to the Leibniz algebras. Finally, we give some simple examples.
Estética da indiferen a: o tédio, sentimento paradigmático da arte contemporanea  [cached]
Barbara Formis
Comunica??o, Mídia e Consumo , 2005,
Abstract: O presente texto trata do caráter ordinário da arte contemporanea, segundo o qual a técnica tem valor menor no conjunto da obra de arte, assim como esta n o traduz de alguma maneira a essência da beleza, e o tédio e a insensibilidade s o seus elementos fundamentais. A essa estética poderíamos chamar, de acordo com a autora, de estética da indiferen a. Desse modo, na estética da arte contemporanea o sentimento está ausente e o que permanece é a indiferen a. O sentimento de anestesia da sensibilidade tem sua express o máxima no tédio. N o obstante a indiferen a, a insensibilidade e o tédio serem constitutivos da arte contemporanea, esses aspectos n o a fazem algo absolutamente dispensável à vida. Palavras-chave: Arte; estética; indiferen a; tédio; arte contemporanea. ABSTRACT The actual text deals with the ordinary character of contemporary art, in which its technique has less value than the art itself as well as it does not translate the essence of beauty whatsoever, boredom and insensibility are its fundamental elements. According to the author, this aesthete can be called as aesthete of indifference. So, in the aesthete of contemporary art, feeling is absent and what remains is indifference. The anesthetic feeling in its sensibility has its main expression in boredom. Despite indifference, insensibility and boredom are part of contemporary art, these aspects do not however, make of it something unessential to life. Key words: Art; aesthete; indifference; boredom; contemporary art.
On some structures of Leibniz algebras  [PDF]
Ismail Demir,Kailash C. Misra,Ernie Stitzinger
Mathematics , 2013,
Abstract: Leibniz algebras are certain generalization of Lie algebras. In this paper we survey the important results in Leibniz algebras which are analogs of corresponding results in Lie algebras. In particular we highlight the differences between Leibniz algebras and Lie algebras.
Leibniz superalgebras and central extensions  [PDF]
Dong Liu,Naihong Hu
Mathematics , 2005, DOI: 10.1007/s11804-006-0041-8
Abstract: Dialgebras are generalizations of associative algebras which give rise to Leibniz algebras instead of Lie algebras. In this paper we study super dialgebras and Leibniz superalgebras, which are $\z_2$-graded dialgebras and Leibniz algebras. We also study universal central extesions of Leibniz superalgebras and obtain some results as in the case of Lie superalgebras. We determine universal central extensions of basic classical Lie superalgebras in the category of Leibniz superalgebras. They play a key role in studying Leibniz superalgebras graded by finite root systems.
The structure of restricted Leibniz algebras  [PDF]
Baoling Guan,Liangyun Chen
Mathematics , 2014,
Abstract: The paper studies the structure of restricted Leibniz algebras. More specifically speaking, we first give the equivalent definition of restricted Leibniz algebras, which is by far more tractable than that of a restricted Leibniz algebras in [6]. Second, we obtain some properties of $p$-mappings and restrictable Leibniz algebras, and discuss restricted Leibniz algebras with semisimple elements. Finally, Cartan decomposition and the uniqueness of decomposition for restricted Leibniz algebras are determined.
Leibniz triple systems  [PDF]
Murray R. Bremner,Juana Sanchez-Ortega
Mathematics , 2011,
Abstract: We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras. We verify that Leibniz triple systems are the natural analogues of Lie triple systems in the context of dialgebras by showing that both the iterated bracket in a Leibniz algebra and the permuted associator in a Jordan dialgebra satisfy the defining identities for Leibniz triple systems. We construct the universal Leibniz envelopes of Leibniz triple systems and prove that every identity satisfied by the iterated bracket in a Leibniz algebra is a consequence of the defining identities for Leibniz triple systems. To conclude, we present some examples of 2-dimensional Leibniz triple systems and their universal Leibniz envelopes.
Lattices of subalgebras of Leibniz algebras  [PDF]
Donald W. Barnes
Mathematics , 2011,
Abstract: I describe the lattice of subalgebras of a one-generator Leibniz algebra. Using this, I show that, apart from one special case, a lattice isomorphism between Leibniz algebras L, L' maps the Leibniz kernel of L to that of L'.
Leibniz Algebras and Lie Algebras  [PDF]
Geoffrey Mason,Gaywalee Yamskulna
Mathematics , 2012, DOI: 10.3842/SIGMA.2013.063
Abstract: This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
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