著者
佐藤 雅彦
出版者
The Philosophy of Science Society, Japan
雑誌
科学哲学 (ISSN:02893428)
巻号頁・発行日
vol.53, no.2, pp.3-23, 2021-03-31 (Released:2021-03-31)
参考文献数
35

In this paper, we analyze the historical process of emergence of proof assistants, and acceptance of proof assistants by the community of mathematicians. Our analysis is done by reflecting on how the notion of proof deepened through the proposal of formalism by Hilbert, formalization of the notion of computability, and especially development of type theory. In this analysis, we view mathematics as human linguistic activity where proofs are produced and communicated by means of both natural languages and formal languages. The complete acceptance of proof assistants by mathematicians is yet to be achieved, but we argue that it should and would happen by properly designing and implmenting a meta proof assistant which can talk and reason about any formal systems.
著者
斎藤 一三 金山 彰宏 佐藤 英毅 上本 騏一
出版者
日本衛生動物学会
雑誌
衛生動物 (ISSN:04247086)
巻号頁・発行日
vol.46, no.3, pp.305-312, 1995-09-15 (Released:2016-08-23)
参考文献数
26
被引用文献数
6

The fauna and distribution of the blackflies in Miyagi Prefecture were investigated from collections of larval and pupal stages of flies from streams and imaginal stages flying around the collectors at 78 localities in the spring of 1986. A total of 9,441 blackflies, 7,928 larvae, 1,464 pupae and 49 adults, was collected at 63 sites. Those blackflies were classified into 3 genera and 23 species. Sixteen species, Prosimulium (Prosimulium) yezoense, P. (P.) jezonicum, Cnephia (Stegopterna) mutata, Simulium (Nevermannia) konoi, S. (N.) subcostatum, S. (N.) uchidai, S. (Gomphostilbia) ogatai, S. (Gom.) shogakii, S. (Gnus) bidentatum, S. (Gnus) malyshevi, S. (Simulium) kawamurae, S. (S.) nikkoense, S. (S.) suzukii, S. (Eusimulium) sp. H., S. (E.) sp. Y. and S. sp. M-1 were newly recorded from Miyagi Prefecture. Predominant species was S. (N.) uchidai (26.8%), followed by S. (O.) aokii (24.8%), S. (S.) japonicum (19.1%) and S. (N.) konoi (7.3%). The most widely distributed species was S. (N.) uchidai (53 sites), followed by S. japonicum (39 sites), S. (O.) aokii (32 sites), S. (N.) konoi (19 sites), S. (S.) rufibasis (19 sites) and P. (P.) yezoense (16 sites).