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Closure of A Priori Knowability Under A Priori Knowable Material Implication

Erkenntnis 80 (2):359-380 (2015)

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The epistemic significance of numerals.Jan Heylen - 2014 - Synthese 198 (Suppl 5):1019-1045.details The central topic of this article is (the possibility of) de re knowledge about natural numbers and its relation with names for numbers. It is held by several prominent philosophers that (Peano) numerals are eligible for existential quantification in epistemic contexts (‘canonical’), whereas other names for natural numbers are not. In other words, (Peano) numerals are intimately linked with de re knowledge about natural numbers, whereas the other names for natural numbers are not. In this article I am looking for (...) Download Export citation Bookmark 2 citations
Being in a Position to Know and Closure.Jan Heylen - 2016 - Thought: A Journal of Philosophy 5 (1):63-67.details The focus of this article is the question whether the notion of being in a position to know is closed under modus ponens. The question is answered negatively. Download Export citation Bookmark 25 citations
Human-Effective Computability†.Marianna Antonutti Marfori & Leon Horsten - 2018 - Philosophia Mathematica 27 (1):61-87.details We analyse Kreisel’s notion of human-effective computability. Like Kreisel, we relate this notion to a concept of informal provability, but we disagree with Kreisel about the precise way in which this is best done. The resulting two different ways of analysing human-effective computability give rise to two different variants of Church’s thesis. These are both investigated by relating them to transfinite progressions of formal theories in the sense of Feferman. Download Export citation Bookmark 1 citation

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