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Single Idea 19179

[filed under theme 2. Reason / D. Definition / 1. Definitions ]

Full Idea

We must specify the words or concepts which we wish to use in defining the notion of truth; and we must also give the formal rules to which the definition should conform. More generally, we must describe the formal structure of the language.

Gist of Idea

For a definition we need the words or concepts used, the rules, and the structure of the language

Source

Alfred Tarski (The Semantic Conception of Truth [1944], 01)

Book Ref

'Semantics and the Philosophy of Language', ed/tr. Linsky,Leonard [University of Illinois 1972], p.14


A Reaction

This, of course, is a highly formal view of how definition should be achieved, offered in anticipation of one of the most famous definitions in logic (of truth, by Tarski). Normally we assume English and classical logic.


The 19 ideas with the same theme [specifying one word by means of others]:

The parts of a definition are isomorphic to the parts of the entity [Aristotle]
The material element may be essential to a definition [Aristotle]
If we define 'man' as 'two-footed animal', why does that make man a unity? [Aristotle]
There can't be one definition of two things, or two definitions of the same thing [Aristotle]
Definitions are easily destroyed, since they can contain very many assertions [Aristotle]
'Nominal' definitions just list distinguishing characteristics [Leibniz]
Definition just needs negation, known variables, conjunction, disjunction, substitution and quantification [Weyl, by Lavine]
For a definition we need the words or concepts used, the rules, and the structure of the language [Tarski]
Definition rests on synonymy, rather than explaining it [Quine]
Logically, definitions have a subject, and a set of necessary predicates [Harré/Madden]
The new view is that "water" is a name, and has no definition [Schwartz,SP]
Interdefinition is useless by itself, but if we grasp one separately, we have them both [Lewis]
Definitions identify two concepts, so they presuppose identity [McGinn]
Notable definitions have been of piety (Plato), God (Anselm), number (Frege), and truth (Tarski) [Gupta]
Definitions usually have a term, a 'definiendum' containing the term, and a defining 'definiens' [Gupta]
Defining a set of things by paradigms doesn't pin them down enough [Smith,M]
Figuring in the definition of a thing doesn't make it a part of that thing [Rosen]
The Pythagoreans were the first to offer definitions [Politis, by Politis]
A definition of a thing gives all the requirements which add up to a guarantee of it [Davies,S]