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John Allen Paulos Quotes: The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.
         

The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.


John Allen Paulos
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Other quotes of John Allen Paulos


Uncertainty is the only certainty there is, and knowing how to live with insecurity is the only security

Uncertainty is the only certainty there is, and knowing how to live with insecurity is the only security



The Internet is the world's largest library. It's just that all the books are on the floor.

The Internet is the world's largest library. It's just that all the books are on the floor.



When asked why he doesn't believe in astrology, the logician Raymond Smullyan responds that he's a Gemini and Geminis never believe in astrology.

When asked why he doesn't believe in astrology, the logician Raymond Smullyan responds that he's a Gemini and Geminis never believe in astrology.



Mathematics is no more computation than typing is literature.

Mathematics is no more computation than typing is literature.



Data, data everywhere, but not a thought to think.

Data, data everywhere, but not a thought to think.



Certainty a strange Ferris wheel of a statement!

Certainty a strange Ferris wheel of a statement!



Mathematicians are a bit like the laconic Vermonter who, when asked if he's lived in the state his whole life, replies, "Not yet."

Mathematicians are a bit like the laconic Vermonter who, when asked if he's lived in the state his whole life, replies, "Not yet."



I think, therefore I laugh.

I think, therefore I laugh.



Innumeracy and pseudoscience are often associated, in part because of the ease with which mathematical certainty can be invoked, to bludgeon the innumerate into a dumb acquiescence.

Innumeracy and pseudoscience are often associated, in part because of the ease with which mathematical certainty can be invoked, to bludgeon the innumerate into a dumb acquiescence.



Uncertainty would be the only certainty there's, and realizing how to stay with insecurity could be the only protection

Uncertainty would be the only certainty there's, and realizing how to stay with insecurity could be the only protection





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Hope could not outlast the breather. Love, however . . . Love was something not even death could conquer, because at the end of everything, even life, he was hers.

Hope could not outlast the breather. Love, however . . . Love was something not even death could conquer, because at the end of everything, even life, he was hers.



If you hate a person you hate something in him that is part of yourself. What isn't part of ourselves doesn't disturb us.

If you hate a person you hate something in him that is part of yourself. What isn't part of ourselves doesn't disturb us.




The ecclesiastical description of Hell is that of a horrible place of fire and torment; in Dante's Inferno, and in northern climes, it was thought to be an icy cold region, a giant refrigerator.

The ecclesiastical description of Hell is that of a horrible place of fire and torment; in Dante's Inferno, and in northern climes, it was thought to be an icy cold region, a giant refrigerator.



My fabulous architect godfather and mentor told me once that striving toward a goal - or perfection - gives one focus and direction, which is a helluva lot better than chasing one's tail.

My fabulous architect godfather and mentor told me once that striving toward a goal - or perfection - gives one focus and direction, which is a helluva lot better than chasing one's tail.



Mindfulness is so powerful that the fact that it comes out of Buddhism is irrelevant.

Mindfulness is so powerful that the fact that it comes out of Buddhism is irrelevant.



Most ideas are a bit scary, and if an idea isn't scary, it's not an idea at all.

Most ideas are a bit scary, and if an idea isn't scary, it's not an idea at all.



I dont know why everybody is giving Prince Harry a hard time. Hes like every other red-blooded American man - he wants to get drunk and go out with hookers.

I dont know why everybody is giving Prince Harry a hard time. Hes like every other red-blooded American man - he wants to get drunk and go out with hookers.



Can you hang in there with your investigators when things get going tough? Don't give up on investigators because they have a little weakness. Work with them until the Holy Ghost tells you not to.

Can you hang in there with your investigators when things get going tough? Don't give up on investigators because they have a little weakness. Work with them until the Holy Ghost tells you not to.




Quote Description


This page presents the quote "The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.". Author of this quote is John Allen Paulos. This quote is about axioms, firsts, four, existence, euclid, surprising, models, science, mathematical,.