Why do irrational numbers exist?
1 Answer
Though common person may find many things in mathematics as incomprehensible or difficult to understand, they do exist in some form and serve the purpose of understanding of nature.
Explanation:
It appears that by the question "why do irrational numbers exist?#, questioner means, whether irrational numbers exist in nature.
We have no qualms about natural numbers, as objects are counted in natural numbers and as such they are considered as natural numbers.
What about fractions? We do understand what is meant by
Coming now to irrational numbers, let us first see some examples of irrational numbers.
One example is
Hence many things can be comprehended better by irrational numbers. So, they do exist in some form in nature, though the a common person may not find it easy to comprehend. The fact is these numbers make understanding of many thing easy.
In fact, even complex numbers, though were very difficult to comprehend even by mathematicians till 17th century, make easy to understand electromagnetic phenomena and flow of current through electronic circuits using resistances, inductance and capacitors.
Hence, though common person may find many things in mathematics as incomprehensible or difficult to understand, they do exist in some form and serve the purpose of understanding of nature.