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The question of how we can know anything about ideal entities to which we do not have access through our senses has been a major concern in the philosophical tradition since Plato's Phaedo. This article focuses on the paradigmatic case of mathematical knowledge. Following a suggestion by Gödel, we employ concepts and ideas from Husserlian phenomenology to argue that mathematical objects – and ideal...
In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
In this paper we classify all rigid rooted IPC-frames of depth 3. Among other things we show that these have at most 3 maximal elements. The interest in rigid frames arose from the paper [5]. In this paper quasi-characterizing inference rules were discussed. These rules are built on the pattern of Jankov-formulas of finite rooted frames but a Jankov-formula of the form ϕ→p is transformed into a quasi-characterizing...
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