Adapt the Cantor Diagonalization Argument to Show That the Set

question 168

Essay

Adapt the Cantor diagonalization argument to show that the set of positive real numbers less than 1 with decimal representations consisting only of 0s and 1s is uncountable.

---

Definitions:

Average Rate of Return

A metric that determines the earnings from an investment by dividing the mean yearly profit by the cost of the initial investment.

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in equal annual amounts.

Average Rate of Return

A metric used to assess the profitability of an investment, calculated by dividing the average annual profit by the initial investment cost.

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in equal installments.