Infinite divisibility is the property of something, not nothing. For instance, 1 is not 0, yet 1 is infinitely divisible. Further, nothing is not divisible at all. One of 0’s key properties is ∀x <> 0 : 0/x = 0.
Is infinitely divisible by anything?
Physical space is often regarded as infinitely divisible: it is thought that any region in space, no matter how small, could be further split. Time is similarly considered as infinitely divisible.
What is the doctrine of infinite divisibility?
the doctrine of infinite divisibility by invoking the doctrine of minimal conceivables and sensibles. He first argues that at least our ideas of space and time are not infinitely divisible. If you take any object of the imagination, you will not be able to resolve it into infinitely many parts.
Can you divide something forever?
Mathematically, there is no greatest power of two: so, no matter how many pieces this process of subdivision has already yielded, there is always the potential for that number to be doubled by further subdivision. But the thing to appreciate is that the number of pieces will always remain finite.
Why is space not infinitely divisible?
It’s not possible because it does’t exist and can’t exist in a dynamic reality. We as intelligent beings can conceptualize what infinity is and even apply the concept to real world problems, but that is not proof of its existence. Your “proof” above that space is infinitely divisible is flawed.
Is there infinite smallness?
So there is a limit to the divisibility of space. Hence it suggests that no infinitely small point exists. The rules of quantum mechanics place a constraint to the size of any point that can exist in this universe.
Can water be infinitely divided?
Later, Aristotle and others came to the conclusion that matter consisted of various combinations of the four “elements”—fire, earth, air, and water—and could be infinitely divided.
Is there anything smaller than a quark?
In particle physics, preons are point particles, conceived of as sub-components of quarks and leptons. The word was coined by Jogesh Pati and Abdus Salam, in 1974.
What’s the smallest thing to exist?
As far as we can tell, quarks can’t be broken down into smaller components, making them the smallest things we know of. In fact, they’re so small that scientists aren’t sure they even have a size: they could be immeasurably small!
How small is a singularity?
That would make singularities roughly the size of superstrings, if they exist. A Planck length is 1.6 x 10^-35 meters (the number 16 preceded by 34 zeroes and a decimal point) — an incomprehensibly small scale that is implicated in various aspects of physics.
Are black holes singularities?
In the real universe, no black holes contain singularities. In general, singularities are the non-physical mathematical result of a flawed physical theory.
Can a wormhole exist?
Einstein’s theory of general relativity mathematically predicts the existence of wormholes, but none have been discovered to date. A negative mass wormhole might be spotted by the way its gravity affects light that passes by.