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Three types of paradoxes

An Antinomy paradox

The Ways of Paradox and Other Essays

by W.V. Quine

There are essentially three categories of paradoxes

  • Falsidical – Logic based on a falsehood
  • Veridical – Truthful
  • Antinomy – A contradiction, real or apparent, between two principles or conclusions, both of which seem equally justified

Willard Van Orman Quine (AKA W. V. O. Quine, or “Van”to his friends) (1908 – 2000) was an American philosopher and mathematical logician, widely considered one of the most important philosophers of the second half of the 20th Century.

Three types of paradoxes
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Cognitive Ease

Cognitive Ease chart

Cognitive ease or fluency is the measure of how easy it is for our brains to process information. … The Cognitive ease principle reveals that when people have to switch to the second system of thinking, causing cognitive strain, they become more vigilant and suspicious.

Frequent repetition can be enough to convince people to believe things that are not true because familiarity generates a sense of cognitive ease. Called the mere-exposure effect, advertisers make use of it, but they aren’t the only ones. Information that is easy to understand also gives us a sense of cognitive ease.

Humans tend to avoid stressful and demanding cognitive strain, often making them vulnerable to many biases. This “laziness” and desire for cognitive ease often invites individuals to a world of irrationality where the decisions made can be detrimental.

Cognitive Ease – Veritasium
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The Three Umpires

Give me a break ump!

Three Blind UmpiresThree Blind Umpires

One weekend the junior umpire, the senior umpire, and the master of all umpires got together to discuss their craft.

After hours and hours of deliberation and thoughtful discussion, the junior umpire stands up and he says “I call ‘em the way I see ‘em“.

The other umpires nod, but then the senior umpire stands up and he says “I call ‘em the way they are”.

The room is silent. Finally, the master of all umpires says “Gentlemen, they ain’t nothing till I call ‘em”.


The Three Umpires by Norman Rockwell
The Three Umpires by Norman Rockwell

Tough Call – also known as Game Called Because of Rain, Bottom of the Sixth, or The Three Umpires – is a 1948 painting by American artist Norman Rockwell, painted for the April 23, 1949, cover of The Saturday Evening Post magazine.

Robert M Woods

Among the many conversations I have had with Great Books students over the years, none is more lively than when we discuss various theories of truth.

It seems to always come up when we are reading and talking about Thomas Aquinas’s Summa. In order to make immediate connection with them, I tell the story about three umpires in a bar after a game. These officials are discussing what really happens when they call balls and strikes. What they are really doing is discussing the relationship between reality and human apprehension of said reality.
The umpires are discussing the relationship between the pitching of the ball and the calling of said pitch by the umpire. It goes like this:

1) When it comes to making calls behind the home plate, I call it the way it is….
2) When it comes to making calls behind home plate, I call it the way I see it….
3) When it comes to making calls behind home plate, it ain’t nothing until I call it….

1) Is it possible that this umpire would ever admit to being wrong?

2) Is the reality of the ball and strike rooted in the perception of the umpire?

3) What if the pitcher threw the ball twenty feet over the catcher’s head and it struck the press box and the umpire called it a strike, it would be, but he would be fired–why?

Those of us who have played or enjoyed the game of baseball get the import of this conversation. The truth is that it is easy to hear what each is saying and recognize the legitimacy of their respective claim. Additionally, it is also relatively easy to extrapolate from their statements and expand them to the point of seeing how wrong they are in their claim.

Source:http://www.theimaginativeconservative.org/author/robert-m-woods