On the Consistency of the Arithmetic System

Abstract

Abstract:In this paper we establish that the well-known Arithmetic System is consistent in the traditional sense. The proof is done within this Arithmetic System.

Synthesis of a Phlorin from a Meso‐Fused Anthriporphyrin by a Diels–Alder Strategy

“…In sharp contrast to the meso-fused carbaporphyrin 4,t he signals of the inner CH group of the Diels-Alder adduct were shifted downfield, whereas those of the peripheral CH groups were shifted upfield as compared to those of diol 10.F or example,t he unusual chemical shifts of H17, H29, and H12 appeared at 10.09, 6.39, and 6.05 ppm, respectively (Figure 3c). [6] Indeed, the weak aromatic nature of 4 is not supported by the relatively large NICS value (i.e., NICS(0) = À11 ppm), which was obtained at the central point of the p-conjugated pathway in 4 (compare NICS(0) = À5.3 ppm for 3). In the case of thiaphlorins, [23] the signals of most of the peripheral protons of the pyrroles and thiophene appeared at 6.5-6.9 and 7.2 ppm, respectively, whereas the inner and peripheral CH groups of benziphlorin appeared at 6.22 and 7.8-6.9 ppm, respectively.…”

“…Thus,t he synthesis of skeletally modified porphyrins has drawn much attention. [5] Synthetically,unmodified phlorins are prepared by either reducing one meso-carbon atom of porphyrinoids with nucleophiles,s uch as hydride [6] and lithium reagents, [7] or condensing dipyrromethanecarbinol and dipyrromethane equivalents. [2] In sharp contrast to conjugated porphyrinoids,phlorins 1,atype of calixphyrin, contain one sp 3 -hybridized meso-carbon atom that interrupts the conjugation.…”

Montażowe formy Wacława Kaźmierczaka

“…Z kolei Dokumenty walki 1939-1945 (1967), jeszcze jeden pełen metraż planowany jako ostatnia część tryptyku realizowanego wspólnie z Bossakiem, nie trafił na ekrany z uwagi na wątpliwości natury historyczno-politycznej, jakie podczas kolaudacji zgłosiło dowództwo Wojska Polskiego 35 . Tymczasem projekt był dla Kaźmierczaka ważny: Moim marzeniem jest, by być współtwórcą pełnometrażowego filmu dokumentalnego, który by pokazał walkę wyzwoleńczą narodu polskiego 36 -zdradzał w jednym z wywiadów. W trakcie realizacji deklarował natomiast: Chcemy potraktować ten temat możliwie najwszechstronniej, pokazać walkę żołnierza polskiego na wszystkich frontach -na lądzie, morzu i w powietrzu.…”

Classification of Polish voivodeships with regards to the accident rate in the construction industry

“…The level of development in the construction industry and also occupational safety in this section of the economy are characterized by many factors described, among others, in [1, 2,3,4,5,6,7]. The most important of these factors are, among others: the value of construction production, the financial and material potential of construction enterprises, employment and also various aspects of occupational safety.…”