display all the ideas for this combination of texts
4 ideas
7726 | Aristotelian logic dealt with inferences about concepts, and there were also proposition inferences [Weiner] |
Full Idea: Till the nineteenth century, it was a common view that Aristotelian logic could evaluate inferences whose validity was based on relations between concepts, while propositional logic could evaluate inferences based on relations between propositions. | |
From: Joan Weiner (Frege [1999], Ch.3) | |
A reaction: Venn diagrams relate closely to Aristotelian syllogisms, as each concept is represented by a circle, and shows relations between sets. Arrows seem needed to represent how to go from one proposition to another. Is one static, the other dynamic? |
13455 | Frege did not think of himself as working with sets [Frege, by Hart,WD] |
Full Idea: Frege did not think of himself as working with sets. | |
From: report of Gottlob Frege (works [1890]) by William D. Hart - The Evolution of Logic 1 | |
A reaction: One can hardly blame him, given that set theory was only just being invented. |
16895 | The null set is indefensible, because it collects nothing [Frege, by Burge] |
Full Idea: Frege regarded the null set as an indefensible entity from the point of view of iterative set theory. It collects nothing. | |
From: report of Gottlob Frege (works [1890]) by Tyler Burge - Frege on Apriority (with ps) 2 | |
A reaction: The null set defines the possibility that something could be collected. At the very least, it introduces curly brackets into the language. |
3328 | Frege proposed a realist concept of a set, as the extension of a predicate or concept or function [Frege, by Benardete,JA] |
Full Idea: Contrary to Dedekind's anti-realism, Frege proposed a realist definition of a set as the extension of a predicate (or concept, or function). | |
From: report of Gottlob Frege (works [1890]) by José A. Benardete - Metaphysics: the logical approach Ch.13 |