Abstract:
The author explores and criticises two arguments from ambiguity: S. Pinker’s argument from ambiguity in support of the ‘Language of Thought’ hypothesis, and the argument from ambiguity proposed by K. P. Parsons against Davidsonian ‘semantics of truth-conditions’. Leaning primarily on G. Harman and D. Davidson he aims to demonstrate that the Pinker/Parsons arguments share a common strategy, on the one hand, and imply and/or suggest, as he claims, an implausible view of ambiguity, on the other. Discussing Pinker’s argument he further attempts to elucidate the ways in which the modifications of public and inter-subjectively accessible aspects of the use of language reflect the differences in interpretations of an ambiguity. His exploration of the argument against ‘semantics of truth-conditions’ then aims to explain, contra Parsons, the sense in which talk about the truth conditions for ambiguity does not implicate a threat to Davidson’s perspective on the theory of meaning. Finally, the author argues for the view of ambiguity as a kind of ignorance/undecidability that, as he contends, represents both more realistic and more plausible theoretical option than the one on which both Pinker and Parsons found their arguments and which also comes out in Aristotle (under an interpretation), K. Bach and W. Lycan.

Abstract:
At the very end of the third century AD, the emperor Galerius (293-311) built a memorial complex Felix Romuliana in order to commemorate the place of his birth and he dedicated it to his mother Romula. Shortly after his death in Serdica in 311, he was buried in the mausoleum built on the hill Magura, at about 1 km distance from his memorial palace. It was also the place of his consecration and apotheosis. Considering the fact that the imperial cult was the most prominent and the most widespread cult in the Roman Empire, the imperial palace was treated as the focus of the cultic activities. By the end of the fourth century Romuliana lost its strictly memorial character and became, most probably, a refugee for the local inhabitants trying to find a place safe from the attacks of the tribes living north of the limes. At the same time the first church was built. According to the up to date information from the archeological investigations that are still carried on the site, eight churches were discovered in or near the fortress of Romuliana, five of which inside the fortified walls. Unfortunately, four of them were only partially discovered and are still waiting to be fully published. The remaining four were created by the transformation of the original rooms of the imperial residence, so called Palace I. The oldest church, dated to the end of fourth or the very beginning of the fifth century, is the three-aisled Basilica I embedded into the room D, the old aula palatina of the original Palace I. Although the original room had an apse on its eastern end, the builders of the basilica built new apse on the distance of 13.10 m west of the original apse, maybe deliberately neglecting the old one as the focus of the cult of the Roman emperor. The transformation of the aula palatina into the Christian church marked the beginning of the process of desacralization of the tetrarchic imperial palace. Basilica I was probably used until the sixth century, when the new church was raised on the same spot. In the second half of the fifth century, room R of the Palace I was transformed into the small single-nave church by building the new apse on its eastern end. It was connected with the small room M, which was transformed into the baptistery by building the small cross-shaped piscina. By the beginning of the sixth century the small room M was added an apse in the east, so it was also transformed into the church. Basilica I was destroyed and the new church was built in the same place most probably by the middle of the sixth century, presumably at the time of the restoratio

Abstract:
The objective of this study was to estimate genetic parameters and to predict breeding values for dairy traits in Simmental cattle in Croatia by developing an animal lactation model. Data consisted of 30761 first lactation records of cows born between 1985 and 2001. By including the pedigree there was a total of 48748 animals. The following effects were analyzed: age, season and year at first calving, days open, breeding organization, farm, animal, and genetic group. Adequacy of the models was tested by using F tests for fixed effects, and REML functions and ‘Mendelian sampling’ for the whole models. The best fit model was determined to have the following effects: age at first calving, days open, year x season interaction and breeding organization x year interaction as fixed, and animal and farm x year as random effects. By including genetic group the model was further improved. From this model, the following heritabilites were estimated: 0.34 ± 0.02, 0.30 ± 0.02, 0.29 ± 0.03 for milk, milk fat and protein yield, respectively. Further, phenotypic and genetic trends were analyzed. The genetic gain in milk traits has been low so far, but by using an appropriate animal model, the breeding value prediction is expected to be improved in terms of accuracy and precision.

Abstract:
By using generalized vertex algebras associated to rational lattices, we construct explicitly the admissible modules for the affine Lie algebra $A_1 ^{(1)}$ of level $-{4/3}$. As an application, we show that the W(2,5) algebra with central charge c=-7 investigated in math.QA/0207155 is a subalgebra of the simple affine vertex operator algebra $L(-{4/3}\Lambda_0)$.

Abstract:
We introduce the infinite-dimensional Lie superalgebra ${\mathcal A}$ and construct a family of mappings from certain category of ${\mathcal A}$-modules to the category of A_1^(1)-modules of critical level. Using this approach, we prove the irreducibility of a family of A_1^(1)-modules at the critical level. As a consequence, we present a new proof of irreducibility of certain Wakimoto modules. We also give a natural realizations of irreducible quotients of relaxed Verma modules and calculate characters of these representations.

Abstract:
We shall first present an explicit realization of the simple $N=4$ superconformal vertex algebra $L_{c} ^{N=4}$ with central charge $c=-9$. This vertex superalgebra is realized inside of the $ b c \beta \gamma $ system and contains a subalgebra isomorphic to the simple affine vertex algebra $L_{A_1} (- \tfrac{3}{2} \Lambda_0)$. Then we construct a functor from the category of $L_{c} ^{N=4}$--modules with $c=-9$ to the category of modules for the admissible affine vertex algebra $L_{A_{2} } (-\tfrac{3}{2} \Lambda_0)$. By using this construction we construct a family of weight and logarithmic modules for $L_{c} ^{N=4}$ and $L_{A_{2} } (-\tfrac{3}{2} \Lambda_0)$. We also show that a coset subalgebra of $L_{A_{2} } (-\tfrac{3}{2} \Lambda_0)$ is an logarithmic extension of the $W(2,3)$--algebra with $c=-10$. We discuss some generalizations of our construction based on the extension of affine vertex algebra $L_{A_1} (k \Lambda_0)$ such that $k+2 = 1/p$ and $p$ is a positive integer.

Abstract:
Let $L_c$ be simple vertex operator superalgebra(SVOA) associated to the vacuum representation of N=2 superconformal algebra with the central charge $c$. Let $c_m = {3m}/{m+2}$. We classify all irreducible modules for the SVOA $L_{c_m}$. When $m$ is an integer we prove that the set of all unitary representations of N=2 superconformal algebra with the central charge $c_m$ provides all irreducible $L_{c_m}$-modules. When $m \notin {\N} $ and $m$ is an admissible rational number we show that irreducible $L_{c_m}$-modules are parameterized with the union of one finite set and union of finitely many rational curves.

Abstract:
Let M(1) be the vertex algebra for a single free boson. We classify irreducible modules of certain vertex subalgebras of M(1) generated by two generators. These subalgebras correspond to the W(2, 2p-1)--algebras with central charge $1- 6 \frac{(p - 1) ^{2}}{p}$ where p is a positive integer, $p \ge 2$. We also determine the associated Zhu's algebras.

Abstract:
For every $m \in {\C} \setminus \{0, -2\}$ and every nonnegative integer $k$ we define the vertex operator (super)algebra $D_{m,k}$ having two generators and rank $ \frac{3 m}{m + 2}$. If $m$ is a positive integer then $D_{m,k}$ can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that $D_{m,k}$ is a regular vertex operator (super)algebra and find the number of inequivalent irreducible modules.

Abstract:
By using methods developed in arXiv:math/0602181 we study the irreducibility of certain Wakimoto modules for $\widehat{sl_2}$ at the critical level. We classify all $\chi \in {\Bbb C}((z))$ such that the corresponding Wakimoto module $W_{\chi}$ is irreducible. It turns out that zeros of Schur polynomials play important rule in the classification result.