Math Investigation eTwinning. Mission: Infinity...Affairs! Volume: Infinity | Page 31

VOCABULARY for infinity…. mission.
The cardinality of the real numbers is the next bigger cardinality after the cardinality of the natural
numbers./CONTINOUMHYPOTHESIS
The mathematician who discovered the existence of unprovable statements like the continuum
hypothesis./KURTGODEL
Coming after all others in time or order; final./LAST
The number of elements in a set, whether the set is finite or infinite. Note: Not all infinite sets have the
same cardinality./CARDINALITY
A positive integer which has only 1 and the number itself as factors. For example, 2, 3, 5, 7, 11, 13,
etc./PRIMENUMBER
Two times; on two occasions./TWICE
An attribute, quality, or characteristic of something./PROPERTY
The German mathematician who tried to explain some of the properties of infinity using a hotel with
infinitely many rooms./DAVIDHILBERT
Extend over so as to cover partly. You can say, for example: ‘the curtains overlap at the centre when
closed’./OVERLAP
A group of numbers, variables, geometric figures, or just about anything./SET
On one occasion or for one time only./ONCE
A statement that cannot be proved./UNPROVABLE
The result of raising a base to an exponent./POWER
Coming immediately after the previous one./NEXT
All positive and negative whole numbers (including zero). That is, the set {... , –3, –2, –1, 0, 1, 2, 3,
...}./INTEGERS
A "number" which indicates a quantity, size, or magnitude that is larger than any real number./INFINITY
An arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used
in counting and making calculations./NUMBER
The numbers used for counting. That is, the numbers 1, 2, 3, 4, etc./NATURALNUMBERS
Containing or holding as much or as many as possible; having no empty space./FULL
Proving a conjecture by assuming that the conjecture is false. If this assumption leads to a contradiction,
the original conjecture must have been true./PROOFBYCONTRADICTION

l

LYKEIO SCHIMATARIOY, GREECE

- VALLAURI FOSSANO, ITALY

Σελίδα 31