We take a logical approach to threshold models, used to study the diffusion of opinions, new technologies, infections, or behaviors in social networks. Threshold models consist of a network graph of agents connected by a social relationship and a threshold value which regulates the diffusion process. Agents adopt a new behavior/product/opinion when the proportion of their neighbors who have already adopted it meets the threshold. Under this diffusion policy, threshold models develop dynamically towards a guaranteed fixed point. We construct a (...) minimal dynamic propositional logic to describe the threshold dynamics and show that the logic is sound and complete. We then extend this framework with an epistemic dimension and investigate how information about more distant neighbors’ behavior allows agents to anticipate changes in behavior of their closer neighbors. Overall, our logical formalism captures the interplay between the epistemic and social dimensions in social networks. (shrink)

[1] Yotse la-or ʻal yede ṭalmidaṿ shomʻe liḳḥo be-yerakh ha-eṭanim di-shenaṭ 2016 -- [2] Yotse la-or ʻal yede ṭalmidaṿ shomʻe liḳḥo be-yerakh ha-eṭanim di-shenaṭ 2018.

[1] Elul. Yamim Noraʼim. Sukot -- [2] Pesaḥ. Shevuʻot. Galut u-geʼulot. Ḥanukah. Purim.

© 2015, Springer-Verlag Berlin Heidelberg.Genetic studies have identified single nucleotide polymorphisms associated with the risk of prostate cancer. It remains unclear whether such genetic variants are associated with disease aggressiveness. The NCI-SPORE Genetics Working Group retrospectively collected clinicopathologic information and genotype data for 36 SNPs which at the time had been validated to be associated with PC risk from 25,674 cases with PC. Cases were grouped according to race, Gleason score and aggressiveness. Statistical analyses were used to compare the frequency (...) of the SNPs between different disease cohorts. After adjusting for multiple testing, only PC-risk SNP rs2735839 was significantly and inversely associated with aggressive and high-grade disease in European men. Similar associations with aggressive and high-grade disease were documented in African-American subjects. The G allele of rs2735839 was associated with disease aggressiveness even at low PSA levels in both European and African-American men. Our results provide further support that a PC-risk SNP rs2735839 near the KLK3 gene on chromosome 19q13 may be associated with aggressive and high-grade PC. Future prospectively designed, case-case GWAS are needed to identify additional SNPs associated with PC aggressiveness. (shrink)

Although we applaud the interactivist approach to language and communication taken in the target article, we notice that Shanker & King (S&K) give little attention to the theoretical frameworks developed by dynamical system theorists. We point out how the dynamical idea of causality, viewed as multidirectional across multiple scales of organization, could further strengthen the position taken in the target article.

Sefer Ḳol min ḥayim -- Sefer Ḳol rinah ṿi-yeshuʻah -- Sefer Orḥot ḥayim ʻim perush Netiv ḥayim -- Sefer Zikhron ʻolam -- Maʼamar Zikhron Yerushalayim.

[4] Be-ʻinyene ḥodesh Elul ṿe-yeraḥ ha-etanim --.

Russkiĭ kosmizm v poiskakh absoli︠u︡ta : paralleli i peresechenii︠a︡ v muzykalʹnom, poėticheskom i izobrazitelʹnom tborchestve 1910-1920-kh godov -- Liki Moderna -- Putʹ k modernu : Georgiĭ Lʹvovich Katuar -- Stilʹ modern v tvorchestve Frederika Diliusa : kont︠s︡ert dli︠a︡ fortepiano s orkestrom do minor -- Stilʹ modern i tvorchestvo Bely Bartoka (na primere opery "Zamok gert︠s︡oga Sini︠a︡i︠a︡ Boroda") -- Frit︠s︡ Kreĭsler i stilʹ modern -- Klod Debi︠u︡ssi i Moris Ravelʹ : muzyka dli︠a︡ arfy -- Klod Debi︠u︡ssi : dvenadt︠s︡atʹ ėti︠u︡dov dli︠a︡ fortepiano (...) : ot ėkzersisa do installi︠a︡t︠s︡ii -- O dikhotomii "muzhskogo" i "zhenskogo" v Pi︠a︡toĭ sonate A.N. Skri︠a︡bina (na primere motivnoĭ metriki) -- Pod znakom moderna : A.N. Skri︠a︡bin i S.S. Prokofʹev v 1913 godu -- Avangard i modern v retrospektive -- O proi︠a︡vlenii︠a︡kh "modernizma" v ispolnitelʹskom iskusstve : F. Buzoni, M. I︠U︡dina, G. Gulʹd -- Sudʹba providt︠s︡a : fortepiannai︠a︡ muzyka Ėrika Sati v sovremennom akademicheskom muzykalʹnom mire -- Otgoloski ėpokhi modern : o nekotorykh smyslovykh osobennosti︠a︡kh sovremennykh fortepiannykh sochineniĭ (Ė. Denisov, S. Slonimskiĭ, G. Zaĭt︠s︡ev) -- Zapadnye pianisty - ispolniteli russkogo avangarda pervoĭ volny : Sh. Shleĭermakher, Kh. Khenk, M.-A. Amlen -- Muzyka k filʹmu "Kabinet doktora Kaligari" : mezhdu tvorcheskoĭ rekonstrukt︠s︡ieĭ i istoricheskoĭ imitat︠s︡ieĭ -- Podvodi︠a︡ itogi -- "Pozdniĭ modernizm" v muzyke kont︠s︡a XX - nachala XXI veka : nekotorye nabli︠u︡denii︠a︡ -- Po sledam konferent︠s︡ii "Ot moderna k futurizmu" (virtualʹnai︠a︡ beseda za kruglym stolom). (shrink)