I cant seem to make my Euler diagram to determine this. Any help would be great.
All actresses are beautiful
Some actresses are tall
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therefore, Some beautiful people are tall.
2007-01-28 04:59:27 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You cant assume anything in logic. Assumption just makes it illogical.
2007-01-28 05:19:43 · update #1
There are three sets described here
let set A be the set of all actresses.
let set B be the set of all beautiful people.
let set T be the set of all tall people.
All actresses are beautiful
Restated this says that A is a proper subset of B.
Some actresses are tall
Restated this says that A intersects T
------------------------------...
therefore, Some beautiful people are tall.
Restated this says that B intersects T
Since every element in A is in B and since some element in A is in T there is an Element that is common to A and B that is in T.
2007-01-28 05:11:54 · answer #1 · answered by anonimous 6 · 1⤊ 1⤋
See this example of a Euler diagram:
http://www.cs.kent.ac.uk/events/conf/2004/euler/eulerexample1.jpg
In your case, set A represents beautiful people, set B represents tall people, and set C represents actresses.
Set C is entirely contained within set A (all actresses are beautiful). Set B intersects with set C (some actresses are tall) and set A since set C is entirely contained within set A (some beautiful people are tall).
Your premise is valid (given, of course, that your initial conditions are valid... I wouldn't necessarily say that all actresses are beautiful :-).
2007-01-28 05:29:06 · answer #2 · answered by jlp 2 · 0⤊ 0⤋
anonymous gave an excellent explanation
Do you mean Venn diagram? That's what you need for this.
Ignore everyone talking about the truth of the premises; that's irrelevant to the form of the argument's validity or invalidity (which, in formal logic is what validity means "If the premises are true, the conclusion MUST be true.").
This one is valid, as anonymous pointed out.
Another thing you can do with this stuff is to substitute all the nouns and adjectives to an example you can cope with better.
All apples are fruits.
Some apples are red.
Therefore, some fruits are red.
Since the question of deductive validity has nothing to do with the truth of the premises, substituting to a clearer example (where all the premises are indisputable) helps you see the form, or structure of the argument.
2007-01-28 06:06:32 · answer #3 · answered by tehabwa 7 · 0⤊ 0⤋
You have to assume that there exist some actresses.
2007-01-28 05:07:38 · answer #4 · answered by gianlino 7 · 0⤊ 0⤋
All actresses are not beautiful.
2007-01-28 05:10:58 · answer #5 · answered by Anonymous · 1⤊ 1⤋
All actresses are people.
You can not state: "All actresses are beautiful."
2007-01-28 05:23:58 · answer #6 · answered by S. B. 6 · 0⤊ 0⤋
the problem is that not all tall people are actresses
but you are right if you have the given info that you gave
(but i do not think that all actressess are beautiful)
2007-01-28 05:12:18 · answer #7 · answered by Anonymous · 0⤊ 1⤋