Real and Rational Numbers Quiz

<p>There exists a set with cardinality greater than integers but less than real numbers (B)</p> Signup and view all the answers

<p>3/4 (A)</p> Signup and view all the answers

<p>By deducting one from zero three times (C)</p> Signup and view all the answers

<p>They can be expressed as fractions p/q, where p and q are integers (B)</p> Signup and view all the answers

<p>The partitioning of rational numbers through Dedekind cuts (A)</p> Signup and view all the answers

A partition of the set of rational numbers into two non-empty subsets, where every element in the left set is less than every element in the right set.

A sequence of numbers where the terms get arbitrarily close to each other as the sequence progresses. This means the difference between consecutive terms becomes smaller and smaller.

The set of all rational and irrational numbers. These can be represented on a number line.

Whole numbers, including zero, positive numbers, and negative numbers. These can be used to count whole objects.

Numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero.

A measure of the 'size' of a set. It tells you how many elements are in the set.

A conjecture in set theory that states there is no set whose cardinality is strictly between the cardinality of the natural numbers and the cardinality of the real numbers.

The successor of 3 in the set of integers is 4. In the construction of integers using the Peano axioms, the successor function adds 1 to the preceding number.