alleryFrege's first set-based definition of natural numbers ran into which problem?
ARussell's paradox
BZeno's paradox
CFermat's problem
DPeano's rule
Answer & Solution
Correct answer: A. Russell's paradox
1. Frege defined a number as the class of all sets matching a given set one-to-one.
2. That definition led to paradoxes, including Russell's paradox.
3. The formalism was then changed so a number is one particular set.
_Source: Wikipedia, Natural number, Formal construction_
Keep practising Whole Numbers
Browse all Whole Numbers questions for CTET, or explore more Mathematics topics.
Related questions
A class register has 475 pupils. Which fact shows the count is divisible by 5?Why do only the last two digits matter when testing divisibility by 4?Which number is divisible by 4, judging by its last two digits?A number is divisible by 3 if which of its sums is divisible by 3?Which digit of 8,374 decides whether the number is divisible by 2?Why is 1 divided by 4 neither even nor odd?All known perfect numbers have which parity?Which of these cannot be called even or odd?