3 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? |
7825 | The politics of Leibniz was the reunification of Christianity [Stewart,M] |
Full Idea: The politics of Leibniz may be summed up in one word: theocracy. The specific agenda motivating much of his work was to reunite the Protestant and Catholic churches | |
From: Matthew Stewart (The Courtier and the Heretic [2007], Ch. 5) | |
A reaction: This would be a typical project for a rationalist philosopher, who thinks that good reasoning will gradually converge on the one truth. |
8592 | Empty space is measurable in ways in which empty time necessarily is not [Bennett, by Shoemaker] |
Full Idea: Because of the multidimensionality of space and unidimensionality of time, empty space is measurable in ways in which empty time necessarily is not. | |
From: report of Jonathan Bennett (Kant's Analytic [1966], p.175) by Sydney Shoemaker - Time Without Change p.49 n4 | |
A reaction: An interesting observation, which could have been used by Samuel Clarke in his attempts to prove absolute space to Leibniz. The point does not prove absolute space, of course, but it seems to make a difference. |