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What is a Paradox?

Mary Elizabeth
By
Updated May 17, 2024
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There are several types of paradox, including veridical and falsidical paradoxes and antinomy. In the first case, a that statement seems contradictory is actually true. A falsidical paradox involves a statement that seems true, but which leads to a senseless conclusion. Antinomy is a statement that has no reasonable answer. Philosopher and logician W.V. Quine named these different categories.

The adage, “It is better to give than to receive,” is a veridical paradox. It seems obvious that the benefits of receiving inevitably outweigh any possible advantages of giving, but many people find that, contrary to expectations, this is not their experience.

Another example is given in the operetta The Pirates of Penzance by W.S. Gilbert and Sir Arthur Sullivan. A young man, Frederic, is indentured to a band of pirates until his 21st birthday rather than until he is 21 years old. Unfortunately for him, his birthday is on Leap Year’s Day, 29 February. Consequently, although he had lived 21 years at the point of the action of the operetta, he was aged — by his birthdays — at a bit over 5 and not free of his indenture.

A falsidical paradox is a statement of conclusion that, despite a seemingly valid argument based on acceptable premises behind it, leads to a conclusion that is senseless or fallacious. Zeno’s paradox of motion is an example. Boiled down, the logic of this example is that you cannot reach a given point B from A, because prior to reaching B you must get halfway to B, and prior to getting halfway to B you must get halfway to halfway to B, and so on. Presented as passing an infinite number of points to reach a destination, movement is made to seem impossible.

Antinomy is a statement to which no truth value can be assigned; when reason is properly applied, it reaches a self-contradictory result. The sentences, “This statement is false,” and, “I am a liar,” are examples.

  1. This statement is false.
  2. Suppose 1 is true.
  3. Contradiction: If it’s true that it’s false then it isn’t false.

  1. This statement is false.
  2. Suppose 1 is false.
  3. Invoke the opposite of 1: This statement is true.
  4. Contradiction: A statement can’t be both true and false.
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Mary Elizabeth
By Mary Elizabeth , Writer
Passionate about reading, writing, and research, Mary Elizabeth is dedicated to correcting misinformation on the Internet. In addition to writing articles on art, literature, and music for WiseGeek, Mary works as a teacher, composer, and author who has written books, study guides, and teaching materials. Mary has also created music composition content for Sibelius Software. She earned her B.A. from University of Chicago's writing program and an M.A. from the University of Vermont.

Discussion Comments

By anon150393 — On Feb 07, 2011

i thought paradox was that if (time traveling was invented) that somehow the past you can't get to the you now because it was trapped or something.

By anon134315 — On Dec 14, 2010

Dear jeancastle00: Try to work out this God paradox: If God can do anything, can He make a mountain which is too heavy for Him to lift? Think about it.

By PurpleSpark — On Sep 27, 2010

@snowywinter: Another noted liar paradox is a guarantee to drive a person mad! The following three sentences are written on a card:

1) This sentence contains five words.

2) This sentence contains eight words.

3) Exactly one sentence on this card is true.

By dill1971 — On Sep 27, 2010

@snowywinter: The last part of this article is an example of a liar paradox. The roots of the liar paradox go back to the philosopher Epimenides from the sixth century B.C. He was quoted as saying “All Cretans are liars…One of their own poets have said so.”

There have been many variations of the basic liar paradox that have appeared over the years. An English mathematician named Philip Jourdain came up with what is known as “Jourdain’s Card Paradox”. One side of a card reads “the sentence on the other side of this card is true”. The other side reads “The sentence on the other side of this card is false”.

By SnowyWinter — On Sep 27, 2010

What is a liar paradox?

By jeancastle00 — On Sep 23, 2010

I just simply don't think that every paradox we come across in life needs to have it's solution or answer discovered. They are called god's unanswered prayers after all.

If you think about it, God is a paradox solution. Whenever you come into a situation or problem you cannot explain. God is there for the answer. Who created the Earth? God. Who created the Sun and Moon? God.

God is my universal answer to all of life's paradoxes.

Mary Elizabeth

Mary Elizabeth

Writer

Passionate about reading, writing, and research, Mary Elizabeth is dedicated to correcting misinformation on the...
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