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What makes something unknowable?
Information can’t be transmitted faster than the speed of light. This can make things unknowable. For example, distant parts of the universe are expanding away from us faster than the speed of light. This may feel counterintuitive due to the common belief that nothing can move faster than the speed of light.
Can things be unknowable?
There are many things known to be unknowable. Typically they come from the worlds of logic, math, and philosophy where rigorously defined notions allow them to be spotted. Physics models also introduce unknowables. Some unknowable things are unknowable because they lack existence.
What is unknowable in math?
Many unsolved problems in mathematics can be likewise disproved by a single counterexample. They include Goldbach’s Conjecture, the Riemann Hypothesis, the Collatz Conjecture, Carmichael’s Totient Function Conjecture, the Erdős–Straus Conjecture, the Erdős–Moser Equation conjecture and Gilbreath’s Conjecture.
Are some things unknowable pi?
No number can claim more fame than pi. But why, exactly? Defined as the ratio of the circumference of a circle to its diameter, pi, or in symbol form, π, seems a simple enough concept. But it turns out to be an “irrational number,” meaning its exact value is inherently unknowable.
Is Goldbach’s conjecture unprovable?
In 1742, Christian Goldbach wrote a letter to his friend, the incomparable Leonhard Euler, proposing that every integer greater than two is the sum of three prime numbers. But there is an infinite number of possibilities, so this approach can never prove the conjecture.
Is the last digit of Pi unknowable?
The Answer: Pi is an irrational number. As such, it has no final digit.
What counts as good evidence for a knowledge claim?
For true beliefs to count as knowledge, it is necessary that they originate in sources we have good reason to consider reliable. These are perception, introspection, memory, reason, and testimony.
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