display all the ideas for this combination of texts
5 ideas
| 9959 | 'Real' definitions give the essential properties of things under a concept [Mautner] |
| Full Idea: A 'real definition' (as opposed to a linguistic one) is a statement which gives the essential properties of the things to which a given concept applies. | |
| From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
| A reaction: This is often seen as old-fashioned, Aristotelian, and impossible to achieve, but I like it and aspire to it. One can hardly be precise about which properties are 'essential' to something, but there are clear cases. Your 'gold' had better not be brass. |
| 9961 | 'Contextual definitions' replace whole statements, not just expressions [Mautner] |
| Full Idea: Usually in a definition the definiens (definition) can replace the definiendum (expression defined), but in a 'contextual definition' only the whole statement containing the definiens can replace the whole statement containing the definiendum. | |
| From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
| A reaction: These definitions are crucial to Frege's enterprise in the 'Grundlagen'. Logicians always want to achieve definition with a single neat operation, but in ordinary language we talk around a definition, giving a variety of possibilities (as in teaching). |
| 9958 | Recursive definition defines each instance from a previous instance [Mautner] |
| Full Idea: An example of a recursive definition is 'y is an ancestor of x' is defined as 'y is a parent of x, or y is a parent of an ancestor of x'. | |
| From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
| A reaction: From this example I guess that 'ancestor' means 'friend'. Or have I misunderstood? I think we need to define 'grand-parent' as well, and then offer the definition of 'ancestor' with the words 'and so on...'. Essentially, it is mathematical induction. |
| 9960 | A stipulative definition lays down that an expression is to have a certain meaning [Mautner] |
| Full Idea: A stipulative definition lays down that a given linguistic expression is to have a certain meaning; this is why they cannot be said to be correct or incorrect. | |
| From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
| A reaction: These are uncontroversial when they are explicitly made in writing by a single person. The tricky case is where they are implicitly made in conversation by a community. After a century or two these look like facts, their origin having been lost. |
| 9957 | Ostensive definitions point to an object which an expression denotes [Mautner] |
| Full Idea: Ostensive definitions explain what an expression means by pointing to an object, action, event, etc. denoted by the expression. | |
| From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
| A reaction: These will need some context. If I define 'red' simply by pointing to a red square, you might conclude that 'red' means square. If I point to five varied red objects, you have to do the work of spotting the common ingredient. I can't mention 'colour'. |