5 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? |
8628 | I hold that algebra and number are developments of logic [Jevons] |
Full Idea: I hold that algebra is a highly developed logic, and number but logical discrimination. | |
From: William S. Jevons (The Principles of Science [1879], p.156), quoted by Gottlob Frege - Grundlagen der Arithmetik (Foundations) §15 | |
A reaction: Thus Frege shows that logicism was an idea that was in the air before he started writing. Riemann's geometry and Boole's logic presumably had some influence here. |
21227 | The Cogito demands a bridge to the world, and ends in isolating the ego [Velarde-Mayol] |
Full Idea: All philosophies inspired in the Cogito have the problem of building a bridge from the starting point of consciousness to the external world. The result of this is the isolation and solitude of the very ego. | |
From: Victor Velarde-Mayol (On Husserl [2000], 4.7.2) | |
A reaction: This strikes me as a pretty good reason not to develop a philosophy which is inspired by the Cogito. |
21215 | The representation may not be a likeness [Velarde-Mayol] |
Full Idea: Representationalism is the doctrine that maintains that the object is represented in consciousness by means of an image. ...One should not confuse an image with a likeness. | |
From: Victor Velarde-Mayol (On Husserl [2000], 2.4.3) | |
A reaction: Helpful reminder that sense-data or whatever may not be a likeness. But then how do they represent? Symbolic representation needs massive interpretation. |
21219 | Find the essence by varying an object, to see what remains invariable [Velarde-Mayol] |
Full Idea: Eidetic Reduction consists of producing variations in the individual object until we see what is invariable in it. What is invariable is its essence or Eidos. | |
From: Victor Velarde-Mayol (On Husserl [2000], 3.2.2) | |
A reaction: This strikes me as an excellent idea. It more or less describes the method of science. Chemical atoms were thought to be unsplittable, until someone tried a new variation for dealing with them. |