Math's Fundamental Flaw

What does the Twin Prime Conjecture propose?

• There are a finite number of twin primes.

• Twin primes do not exist.

• There are infinitely many twin primes.

• All prime numbers are twin primes.

What is the primary rule of Conway's Game of Life regarding cell revival?

• A dead cell with exactly three live neighbors comes to life.

• All cells with more than three neighbors will die.

• A live cell with three live neighbors will die.

• A live cell with two live neighbors stays alive.

What paradox did Bertrand Russell introduce to challenge set theory?

• The paradox of infinite natural numbers.

• The paradox of self-shaving barbers.

• The paradox of infinite regression in sets.

• The paradox of the set of all sets not containing themselves.

According to Gödel's Incompleteness Theorem, what is true about mathematical systems?

• All statements in a system can be proven.

• Systems can prove their own consistency.

• There are true statements in a system that have no proof.

• Mathematical systems are always complete and consistent.

What did Alan Turing's work on the halting problem demonstrate?

• Turing machines are limited to simple arithmetic tasks.

• It is undecidable to predict whether a program will halt or not.

• There is an algorithm that can predict the halt of any program.

• All computational problems can be solved.