4 ideas
7081 | Philosophy is not separate from or above empirical science [Neurath] |
Full Idea: There is no such thing as philosophy as a basic or universal science alongside or above the various fields of the one empirical science. | |
From: Otto Neurath (works [1930]), quoted by Simon Critchley - Continental Philosophy - V. Short Intro Ch.6 | |
A reaction: This is what you get for becoming an empiricist. If philosophy is the quest for human wisdom, it seems to me highly unlikely that physical sciences will provide it. Human interests and values and understanding play absolutely no role in physics. |
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 |
13766 | 'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey] |
Full Idea: Ramsey suggested that 'if', 'given that' and 'on the supposition that' come to the same thing, and that the degrees of belief in the antecedent should then conform to probability theory. | |
From: report of Frank P. Ramsey (Truth and Probability [1926]) by Frank P. Ramsey - Law and Causality B | |
A reaction: [compressed] |
19143 | Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson] |
Full Idea: Ramsey gave an axiomatic treatment of preference in the face of uncertainty, when applied to a particular agent. | |
From: report of Frank P. Ramsey (Truth and Probability [1926]) by Donald Davidson - Truth and Predication 2 | |
A reaction: This is evidently the beginnings of Bayesian decision theory. |