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Does the set of all sets other than the empty set include the empty set?
Wiki User
∙ 13y ago
The collection of all sets minus the empty set is not a set (it is too big to be a set) but instead a proper class. See Russell's paradox for why it would be problematic to consider this a set. According to axioms of standard ZFC set theory, not every intuitive "collection" of sets is a set; we must proceed carefully when reasoning about what is a set according to ZFC.
Wiki User
∙ 13y ago
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Is the empty set transitive?
Transitivity can be applied to relations between objects or sets - not to the sets themselves. For example, the relation "less-than" for real numbers, or the relation "is a subset of" for subsets, are both transitive. So is equality.
How are rational and irrational numbers similar?
Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)
What is the length of the third side of a triangle that has side of 22 and the other of 5?
The property you can use here is that no side can be longer than the sum of the other three sides. Thus, the third side must be somewhere between 22 - 5, and 22 + 5 (the "between", in this case, is not inclusive, i.e., it doesn't include the endpoints).
Can you relate the number of elements of a set to its number of subsets?
If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.
How can you use a right angle to determine the classiacation of another angle?
If the other angle is smaller than the right angle, it is an acute angle.If the other angle is the same as the right angle, it is a right angle.If the other angle is bigger than the right angle but smaller than two right angles, it is an obtuse angle.If the other angle is the same as two right angles, it is a straight angle.If the other angle is bigger than two right angle but smaller than four right angles, it is a reflex angle.After four right angles, the other angle starts back at being an acute angle.
What is a polyploidi?
An organism that contains more than two sets of chromosomes.
Is the empty set transitive?
Transitivity can be applied to relations between objects or sets - not to the sets themselves. For example, the relation "less-than" for real numbers, or the relation "is a subset of" for subsets, are both transitive. So is equality.
What is a set with no numbers called?
A null set. Although they could be sets of letters, sets of people, sets of animals, in fact sets of anything other than numbers.
How can I tell the difference between a diecast and any other model train set?
Diecast sets are made from metal and therefore are much more durable than other model train sets that are made of flimsy plastic. Diecast train model sets are also more collectible than other types of train sets.
What A number with more than one number?
There is no such thing. One number is one number.Structures with more than one number include sets (if the sets happen to be made up of numbers), and ordered pairs.
What is the examples of empty sets?
The empty set is a set that has no elements in it. Therefore, there is only one empty set. It is written as {}, or as a zero with a diagonal line through it. It might be defined with any rule that can't be fulfilled, such as "the set of prime numbers greater than 7 and smaller than 11", "the intersection of the solutions of (x > 10) and (x < 0)", etc.
If there are other planets than the ones in our solar system where are they likely to?
near other stars or in empty space
Are copper fireplace sets better than brass?
Copper fireplace sets are better in sense that it has a higher melting point than brass. On the other hand copper has a more dull color than brass and is harder to polish. Since the sets will be outside away from the fire, brass sets are more beautiful and easier to clean.
Cosmetic Gift Sets Let You Sample With Different Colors?
Cosmetic gift sets let you experiment with new products and colors without spending a lot of money. Since it is a set, the colors will coordinate, so you can create the perfect look. Most gift sets include eye shadow, blush and lipstick, but some sets are just one product. Other sets include makeup brushes and tools to help you apply the makeup. Buying a set is often cheaper than buying the products separately. Although cosmetic gift sets are marketing as gifts for family and friends, you can buy them for yourself to save money and try new colors.
Do any mammals other than humans have two sets of teeth baby and adult?
Yes
What is the set of number to which 1.68 belongs?
Seems to me there are an infinite number of sets that would include 1.68 .Some of them include . . .positive numbersreal numbersrational numbersnumbers written with 2 decimal placesnumbers less than (fill in any integer less than 3)
What must you feel with empty hands?
Nothing Air (other than putting your hands in vaccum, you must feel it)
