
2
IV. Regarding definitional techniques
1. extensional (denotative) definitions:
– ostensive definition: by pointing (some or all) designata (referents)
– enumerative definition: by listing (some or all) designata (referents) (Planet is an
object such as: Mercury, Venus, Earth, Mars, Saturn or Jupiter.)
– definition by subclass: by listing (some or all) subclasses of denotation (extension) of
defined word (Fictional work is something like a poem, a play, a novel, or a short story)
2. intensional (connotative) definitions:
– synonymous definition: by giving the word of the same meaning as definiendum
(Intentional means willful. Observe means see.)
– operational definition: by describing procedures that determine whether or not a given
word applies to a certain thing. (One substance is “harder than” another if and only if one
scratches the other when the two are rubbed together.)
– definition by genus and difference; special case of equivalence definition of a form:
„A is B, that is C”
A – defined word; it’s extension; species
B – genus (genus proximum) – the smallest set containing A
C – specific difference (differentia specifica) – feature that distinguishes A from all B
Examples:
A square (A) is an equilateral (C) rectangle (B).
A bachelor (A) is an unmarried (C) man (B).
CRITERIA FOR LEXICAL DEFINITIONS
1. Should be adequate
Definition is adequate if extensions of definiendum and definiens are the same (definiendum is
equivalent to definiens).
ERROR: to broad: there are some objects that belong to extension of definiens but don’t belong
to extension of definiendum
Example: Bird is an animal that has wings (WRONG because of bat)
ERROR: to narrow: there are some objects that belong to extension of definiendum but don’t
belong to extension of definiens
Example: Bird is an animal that can fly (WRONG because of penguin)
ERROR: category mistake: categories of definiendum and definiens are different hence their
extensions are disjoint.
Example: Mathematics is when someone deals with numbers.
2. Should avoid circularity (idem per idem)
ERROR direct (intrinsic) circularity – in one definition; definiendum appears in definiens
Example: Celestial bodies are stars, planets and some other celestial bodies.
ERROR indirect circularity – in a pair, or triple (…) of definitions; one term is defined by the
other and this other is defined by the first one.
Example:
Science means the activity engaged in by scientists.
Scientist means anyone who engages in science.