3 ideas
8920 | Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz] |
Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'. | |
From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9) | |
A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part |
12583 | Belief truth-conditions are normal circumstances where the belief is supposed to occur [Papineau] |
Full Idea: The truth condition of the belief is the 'normal' circumstances in which, given the learning process, it is biologically supposed to be present. | |
From: David Papineau (Reality and Representation [1987], p.67), quoted by Christopher Peacocke - A Study of Concepts 5.2 | |
A reaction: How do we account for a belief in ghosts in this story? The notion of 'normal' circumstances and what is 'biologically supposed' to happen don't seem very appropriate. This is the 'teleological' view of belief. |
22086 | The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle] |
Full Idea: Kierkegaard insisted that the most important aspect of a human being is not reason, but passion. | |
From: report of Søren Kierkegaard (works [1845]) by Clare Carlisle - Kierkegaard: a guide for the perplexed Intro | |
A reaction: Hume comes to mind for a similar view, but in character Hume was far more rational than Kierkegaard. |