What is Paradox mean ?

hi

This is called the arrow paradox, and it's another of Zeno's arguments against motion.

The issue here is that in a single instant of time, zero seconds pass, and so zero motion happens.

Zeno argued that if time were made up of instants, the fact that motion doesn't happen in any particular instant would mean motion doesn't happen.

As with the dichotomy paradox, the arrow paradox actually hints at modern understandings of quantum mechanics.

In his book "Reflections on Relativity," Kevin Brown notes that in the context of special relativity, an object in motion is different from an object at rest.

Relativity requires that objects moving at different speeds will appear different to outside observers and will themselves have different perceptions of the world around them.

The ship wherein Theseus and the youth of Athens returned from Crete had thirty oars, and was preserved by the Athenians down even to the time of Demetrius Phalereus, for they took away the old planks as they decayed.

Putting in new and stronger timber in their places, in so much that this ship became a standing example among the philosophers, for the logical question of things that grow; one side holding that the ship remained the same, and the other contending that it was not the same.

Some people might cite these paradoxes as reasons not to believe in a supreme being; however, others would say they are inconsequential or invalid.

While we're at it, how can evil exist if God is omnipotent? And how can free will exist if God is omniscient?

These are a few of the many paradoxes that exist when you try to apply logic to definitions of God.

Moving ahead to a problem posed in the 17th century, we've got one of many paradoxes related to infinity and geometry.

"Gabriel's Horn" is formed by taking the curve y = 1/x and rotating it around the horizontal axis, as shown in the picture.

Using techniques from calculus that make it possible to calculate areas and volumes of shapes constructed this way, it's possible to see that the infinitely long horn actually has a finite volume equal to π, but an infinite surface area.

As stated in the MathWorld article on the horn, this means that the horn could hold a finite volume of paint but would require an infinite amount of paint to cover its entire surface.

An example of a heterological word is "verb," which is not a verb (as opposed to "noun," which is itself a noun). Another example is "long," which is not a long word (as opposed to "short," which is a short word).

So is "heterological" a heterological word? If it were a word that didn't describe itself, then it would describe itself; but if it did describe itself, then it would not be a word that described itself.

This is related to Russell's Paradox, which asked if the set of things that don't contain themselves contained itself.

By creating self-destructing sets like these, Bertrand Russell and others showed the importance of establishing careful rules when creating sets, which would lay the groundwork for 20th-century mathematics.

"Catch-22," a satirical World War II novel by Joseph Heller, named the situation where someone is in need of something that can only be had by not being in need of it — which is a kind of self-referential paradox.

Protagonist Yossarian is introduced to the paradox with regard to pilot evaluation but eventually sees paradoxical (and oppressive) rules everywhere he looks.

After all, 1 is the first nonzero natural number; 2 is the smallest prime number; 3 is the first odd prime number; 4 is the smallest composite number; etc.

And when you finally reach a number that seems not to have anything interesting about it, then that number is interesting by virtue of being the first number that is not interesting.

The Interesting Number Paradox relies on an imprecise definition of "interesting," making this a somewhat sillier version of some of the other paradoxes, like the heterological paradox, that rely on contradictory self-references.