Main.Quotes History

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July 08, 2023, at 01:51 AM EST by 74.58.218.169 -
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[[#v8]]
%player% http://youtu.be/B1J6Ou4q8vE %%
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[[#v7]]
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[[https://xkcd.com/1844/|https://imgs.xkcd.com/comics/voting_systems.png]]
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[[https://xkcd.com/1844/|https://imgs.xkcd.com/comics/voting_systems.png]]

[[#i20]]
[[https://xkcd.com/1856/|https://imgs.xkcd.com/comics/existence_proof.png]]

[[#i21]]
[[https://xkcd.com/1999/|https://imgs.xkcd.com/comics/selection_effect.png]]

[[#i22]]
[[https://xkcd.com/2016/|https://imgs.xkcd.com/comics/oeis_submissions.png]]

[[#i23]]
[[https://xkcd.com/2023/|https://imgs.xkcd.com/comics/y_axis.png]]

[[#i24]]
[[https://xkcd.com/2028/|https://imgs.xkcd.com/comics/complex_numbers.png]]

[[#i25]]
[[https://xkcd.com/2030/|https://imgs.xkcd.com/comics/voting_software
.png]]
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[[#19]]
to:
[[#i19]]
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Then the 3rd Logician says "yes."\\
to:
Then the 3rd Logician says "yes."
Added lines 101-106:
[[#q33]]
Three Logicians walk into a bar, and the barkeeper asks "Would you all like something to drink?"\\
The 1st Logician says "I don't know,"\\
and the 2nd Logician says "I don't know."\\
Then the 3rd Logician says "yes."\\
  -- author unknown
June 01, 2017, at 02:28 PM EST by 207.253.38.66 -
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[[https://plus.maths.org/content/imaging-maths-inside-klein-bottle-1|https://plus.maths.org/issue26/features/mathart/HalfNormals.gif]]
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[[https://plus.maths.org/content/imaging-maths-inside-klein-bottle-1|https://plus.maths.org/issue26/features/mathart/HalfNormals.gif]]

[[#19]]
[[https://xkcd.com/1844/|https://imgs.xkcd.com/comics/voting_systems.png
]]
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[[http://www.phdcomics.com/comics.php?f=1921|http://www.phdcomics.com/comics/archive/phd020617s.gif]]

[[#i18]]
[[https://plus.maths.org/content/imaging-maths-inside-klein-bottle-1|https://plus.maths.org/issue26/features/mathart/HalfNormals
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[[https://xkcd.com/1478/|https://imgs.xkcd.com/comics/p_values.png]]

[[#i17]]
[[http://www.phdcomics.com/comics/archive/phd020617s.gif
]]
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[[#15]]
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[[#i15]]
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[[#16]]
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[[#i16]]
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[[#15]]
[[https://xkcd.com/882/|https://imgs.xkcd.com/comics/significant.png]]

[[#16]]
[[https://xkcd.com/1478/|https://imgs.xkcd.com/comics/p_values.png]]
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[[#i14]]
[[https://xkcd.com/1724/|https://imgs.xkcd.com/comics/proofs.png]]
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[[https://i.imgur.com/0avTKqL.gif|https://i.imgur.com/0avTKqL.gif]]

[[#i12]]
[[http://www.phdcomics.com/comics/archive.php?comicid=1356|http://www.phdcomics.com/comics/archive/phd081310s.gif]]

[[#i13]]
[[http://www.phdcomics.com/comics/archive.php?comicid=979|http://www.phdcomics.com/comics/archive/phd021808s.gif]]

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[[#v6]]
%player% http://youtu.be/BipvGD-LCjU %%
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[[#i11]]
[[https://i.imgur.com/0avTKqL.gif|https://i.imgur.com/0avTKqL.gif]]
April 26, 2015, at 04:51 PM EST by 206.248.170.49 -
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[[]]
to:
[[#i10]]
[[http://rin.io/introduction-to-algebraic-structures/|http://rin.io/wp-content/uploads/2014/05/moder.png]]\\
[[http://rin.io/introduction-to-algebraic-structures/|http://rin.io/wp-content/uploads/2014/05/math0.png]]\\
[[http://rin.io/introduction-to-algebraic-structures/|http://rin.io/wp-content/uploads/2014/05/Screenshot-from-2014-05-31-14-14-32.png]]\\
[[http://rin.io/introduction-to-algebraic-structures/|http://rin.io/wp-content/uploads/2014/05/Screenshot-from-2014-05-31-15-253A39-253A19.png]]\\
[[http://rin.io/introduction-to-algebraic-structures/|http://rin.io/wp-content/uploads/2014/05/Screenshot-from-2014-05-31-15-253A39-253A45.png]]\\

April 26, 2015, at 03:36 PM EST by 206.248.170.49 -
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[[http://xkcd.com/263/|http://imgs.xkcd.com/comics/certainty.png]]
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[[http://xkcd.com/263/|http://imgs.xkcd.com/comics/certainty.png]]

[[#i8]]
[[http://rin.io/2014/09/|http://rin.io/wp-content/uploads/2014/08/uppkwr9-imgur.gif]]

[[#i9]]
[[http://rin.io/2014/09/|http://rin.io/wp-content/uploads/2014/08/Capture5.png]]

[[
]]
March 07, 2015, at 03:38 PM EST by 69.196.180.126 -
March 07, 2015, at 03:37 PM EST by 69.196.180.126 -
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[[#i7]]
[[http://xkcd.com/263/|http://imgs.xkcd.com/comics/certainty.png]]
March 07, 2015, at 03:29 PM EST by 69.196.180.126 -
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[[#i3]]
[[http://xkcd.com/982/|http://imgs.xkcd.com/comics/set_theory.png]]

[[#i4]]
[[http://xkcd.com/246/|http://imgs.xkcd.com/comics/labyrinth_puzzle.png]]

[[#i5]]
[[http://xkcd.com/184/|http://imgs.xkcd.com/comics/matrix_transform.png]]

[[#i6]]
[[http://xkcd.com/179/|http://imgs.xkcd.com/comics/e_to_the_pi_times_i
.png]]
March 06, 2015, at 02:17 PM EST by 69.196.180.126 -
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%player% http://youtu.be/vts0YHACsYY %%

[[#i1]]
[[http://xkcd.com/435/|http://imgs.xkcd.com/comics/purity.png]]

[[#i2]]
[[http://xkcd.com/263/|http://imgs.xkcd.com/comics/applied_math.png]]
January 20, 2015, at 12:07 AM EST by 206.248.164.205 -
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%player% http://youtu.be/2dgmgub8mHw %%

[[#v4]]
%player% http://youtu.be/dI5Zqf20EBc %%

[[#v5]]
%player% http://youtu.be/vts0YHACsYY
%%
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%player% http://youtu.be/ahXIMUkSXX0 %%

[[#v3]]
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%%
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[[#v2]]
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[[#v1]]
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  -- Jules Henri Poincaré
to:
  -- Jules Henri Poincaré

[[#q20]]
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
  -- David Hilbert

[[#q21]]
If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.
  -- Galileo Galilei

[[#q22]]
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
  -- David Hilbert

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-- Jules Henri Poincare
to:
-- Jules Henri Poincaré
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-- Bertrand Russell, "Skeptical Essays", 1928
to:
-- Bertrand Russell, "Skeptical Essays", 1928

[[#q19]]
The principal aim of mathematical education is to develop certain faculties of the mind, and among these intuition is not the least precious. It is through it that the mathematical world remains in touch with the real world, and even if pure mathematics could do without it, we should still have to have recourse to it to fill up the gulf that separates the symbol from reality.
  -- Jules Henri Poincaré
Changed lines 5-14 from:
[@
(1) X=Y ; Given
(2) X^2=XY ; Multiply both sides by X
(3) X^2-Y^2=XY-Y^2 ; Subtract Y^2 from both sides
(4) (X+Y)(X-Y)=Y(X-Y) ; Factor
(5) X+Y=Y ; Cancel out (X-Y) term
(6) 2Y=Y         ; Substitute X for Y, by equation 1
(7) 2=1 ; Divide both sides by Y
-- "Omni", proof that 2 equals 1
@]
to:
A mathematician is a device for turning coffee into theorems.
-- P. Erdos

[[#q3]]
A sine curve goes off to infinity, or at least the end of the blackboard.
-- Prof. Steiner

[[#q4]]
All syllogisms have three parts, therefore this is not a syllogism.

[[#q5]]
As far as the laws of mathematics refer to reality, they are not
certain, and as far as they are certain, they do not refer to reality.
-- Albert Einstein

[[#q6]]
"Contrariwise," continued Tweedledee, "if it was so, it might be, and
if it were so, it would be; but as it isn't, it ain't.  That's logic!"
-- Lewis Carroll, "Through the Looking Glass"

[[#q7]]
Everything should be made as simple as possible, but not simpler.
-- Albert Einstein

[[#q8]]
God doesn't play dice.
-- Albert Einstein

[[#q9]]
God made the integers; all else is the work of Man.
-- Kronecker

[[#q10]]
I have a theory that it's impossible to prove anything, but I can't prove it.

[[#q11]]
I have hardly ever known a mathematician who was capable of reasoning.
-- Plato

[[#q12]]
Mathematics is the only science where one never knows what
one is talking about nor whether what is said is true.
-- Russell

[[#q13]]
Mathematics, rightly viewed, possesses not only truth but supreme beauty --
a beauty cold and austere, like that of a sculpture, without appeal to any
part of our weaker nature, without the gorgeous trapping of painting or music,
yet sublimely pure, and capable of a stern perfection such as only the
greatest art can show.  The true spirit of delight, the exaltation, the sense
of being more than man, which is the touchstone of the highest excellence, is
to be found in mathematics as surely as in poetry.
-- Bertrand Russell

[[#q14]]
Science is built up of facts, as a house is with stones.  But a collection
of facts is no more a science than a heap of stones is a house.
-- Jules Henri Poincare

[[#q15]]
The aim of science is to seek the simplest explanations of complex
facts.  Seek simplicity and distrust it.
-- Alfred North Whitehead

[[#q16]]
There is no choice before us. Either we must Succeed in providing the
rational coordination of impulses and guts, or for centuries civilization
will sink into a mere welter of minor excitements. We must provide a
Great Age or see the collapse of the upward striving of the human race.
-- Alfred North Whitehead

[[#q17]]
There is no royal road to geometry.
-- Euclid

[[#q18]]
What is wanted is not the will to believe, but the will to find out,
which is the exact opposite.
-- Bertrand Russell, "Skeptical Essays", 1928
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[@
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@]
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[[#fs3]]
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[[#1]]
1 + 1 = 3, for large values of 1.

[[#2]]
(1) X=Y ; Given
(2) X^2=XY ; Multiply both sides by X
(3) X^2-Y^2=XY-Y^2 ; Subtract Y^2 from both sides
(4) (X+Y)(X-Y)=Y(X-Y) ; Factor
(5) X+Y=Y ; Cancel out (X-Y) term
(6) 2Y=Y         ; Substitute X for Y, by equation 1
(7) 2=1 ; Divide both sides by Y
-- "Omni", proof that 2 equals 1