👂🎴 🕸️
You
are
in
possesion
of
a
card
set
.
On
one
side
there
is
a
shape
''
a
circle
or
a
triangle
.
On
the
other
side
there
is
a
colour
''
blue
or
yellow
.
There
is
one
rule
:
If
there
is
a
circle
on
one
side
of
a
card
''
then
the
other
side
is
blue
.
You
have
four
cards
placed
on
a
surface
next
to
each
other
''
one
depicting
a
circle
''
one
a
triangle
''
one
is
blue
and
one
is
yellow
.
Which
card
or
cards
do
you
need
to
turn
around
in
order
to
confirm
the
abovementioned
rule
?
<
p
class
=
fragment
>
Agricultural
Societies
p
><
p
class
=
fragment
>
Ancient
Egypt
p
><
p
class
=
fragment
>
Mesopotamia
/
Babylon
p
><
p
class
=
fragment
>
Ancient
China
p
><
p
class
=
fragment
>
Ancient
India
p
>
<
p
class
=
fragment
>
calendar
p
><
p
class
=
fragment
>
religion
:
Nile
river
god
Hapi
p
><
p
class
=
fragment
>
measuring
device
p
><
p
class
=
fragment
>
landmeasure
p
><
p
class
=
fragment
>
measure
unit
p
><
p
class
=
fragment
>
legth
and
area
calculation
p
><
p
class
=
fragment
>
decimal
system
p
><
p
class
=
fragment
>
binary
counting
system
p
><
p
class
=
fragment
>
fractions
p
><
p
class
=
fragment
>
Eye
of
Horus
:
geometric
theory
p
><
p
class
=
fragment
>
accurate
value
of
pi
p
><
p
class
=
fragment
>
Pyramid
-
the
golden
ratio
''
right
angle
p
>
<
p
class
=
fragment
>
Pythagoras
p
><
p
class
=
fragment
>
right
-
angled
triangles
p
><
p
class
=
fragment
>
the
harmonic
serie
p
><
p
class
=
fragment
>
Euclid
p
><
p
class
=
fragment
>
300BC
The
Elements
:
axioms
p
><
p
class
=
fragment
>
Archimede
p
>
<
p
class
=
fragment
>
the
decimal
place
-
value
system
p
><
p
class
=
fragment
>
0
and
infinity
p
><
p
class
=
fragment
>
pi
p
><
p
class
=
fragment
>
Brahmagupta
p
><
p
class
=
fragment
>
negative
numbers
p
><
p
class
=
fragment
>
unknowns
in
equations
p
><
p
class
=
fragment
>
trigonometry
p
><
p
class
=
fragment
>
Al
-
Khwarizmi
p
><
p
class
=
fragment
>
algebra
p
>
Urban
''
industrial
''
digital
societies
<
br
>
What
is
logic
and
what
is
mathematics
?<
br
/><
p
class
=
fragment
>
The
Merriam
-
Webster
Dictionary
defines
logic
as
follows
:
<
em
>
a
science
that
deals
with
the
principles
and
criteria
of
inference
and
demonstration
:
the
science
of
the
formal
principles
of
reasoning
em
>
p
><
p
class
=
fragment
>
mathematics
is
the
science
of
abstract
structures
and
patterns
''
constructed
out
of
different
statements
''
which
need
to
be
proven
true
p
>
object
->
actions
->
statements
->
relationships
<
div
style
=
text
-
align
:
left
;
><
br
/>
Henri
Poincaré
distinguished
between
the
<
strong
>
memory
strong
>
for
steps
in
a
chain
of
reasoning
and
the
<
strong
>
appreciation
strong
>
of
the
links
between
propositions
.
The
later
was
regarded
as
the
more
important
ability
for
a
mathematician
.<
br
/><
br
/>
There
are
symbol
systems
for
encoding
<
strong
>
actions
performed
upon
objects
strong
>
and
symbol
systems
for
<
strong
>
relations
between
objects
strong
>.<
br
/><
br
/>
1
+
1
=
2
|
2
-
1
=
1
|
2
x
2
=
4
|
4
/
2
=
2
div
>
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=
List
Continue
4
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
List
Continue
5
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Message
Header
/>
<
w
:
LsdException
Locked
=
false
Priority
=
11
QFormat
=
true
Name
=
Subtitle
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Salutation
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Date
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Body
Text
First
Indent
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Body
Text
First
Indent
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Note
Heading
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Body
Text
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Body
Text
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Body
Text
Indent
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Body
Text
Indent
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Block
Text
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Hyperlink
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
FollowedHyperlink
/>
<
w
:
LsdException
Locked
=
false
Priority
=
22
QFormat
=
true
Name
=
Strong
/>
<
w
:
LsdException
Locked
=
false
Priority
=
20
QFormat
=
true
Name
=
Emphasis
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Document
Map
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Plain
Text
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
E
-
mail
Signature
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Top
of
Form
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Bottom
of
Form
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Normal
(
Web
)
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Acronym
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Address
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Cite
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Code
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Definition
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Keyboard
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Preformatted
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Sample
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Typewriter
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
HTML
Variable
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Normal
Table
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
annotation
subject
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
No
List
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Outline
List
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Outline
List
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Outline
List
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Simple
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Simple
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Simple
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Classic
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Classic
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Classic
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Classic
4
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Colorful
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Colorful
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Colorful
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Columns
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Columns
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Columns
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Columns
4
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Columns
5
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
4
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
5
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
6
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
7
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Grid
8
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
4
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
5
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
6
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
7
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
List
8
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
3D
effects
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
3D
effects
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
3D
effects
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Contemporary
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Elegant
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Professional
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Subtle
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Subtle
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Web
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Web
2
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Web
3
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Balloon
Text
/>
<
w
:
LsdException
Locked
=
false
Priority
=
39
Name
=
Table
Grid
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Table
Theme
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
Name
=
Placeholder
Text
/>
<
w
:
LsdException
Locked
=
false
Priority
=
1
QFormat
=
true
Name
=
No
Spacing
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
Accent
1
/>
<
w
:
LsdException
Locked
=
false
SemiHidden
=
true
Name
=
Revision
/>
<
w
:
LsdException
Locked
=
false
Priority
=
34
QFormat
=
true
Name
=
List
Paragraph
/>
<
w
:
LsdException
Locked
=
false
Priority
=
29
QFormat
=
true
Name
=
Quote
/>
<
w
:
LsdException
Locked
=
false
Priority
=
30
QFormat
=
true
Name
=
Intense
Quote
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
60
Name
=
Light
Shading
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
61
Name
=
Light
List
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
62
Name
=
Light
Grid
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
63
Name
=
Medium
Shading
1
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
64
Name
=
Medium
Shading
2
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
65
Name
=
Medium
List
1
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
66
Name
=
Medium
List
2
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
67
Name
=
Medium
Grid
1
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
68
Name
=
Medium
Grid
2
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
69
Name
=
Medium
Grid
3
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
70
Name
=
Dark
List
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
71
Name
=
Colorful
Shading
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
72
Name
=
Colorful
List
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
73
Name
=
Colorful
Grid
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
19
QFormat
=
true
Name
=
Subtle
Emphasis
/>
<
w
:
LsdException
Locked
=
false
Priority
=
21
QFormat
=
true
Name
=
Intense
Emphasis
/>
<
w
:
LsdException
Locked
=
false
Priority
=
31
QFormat
=
true
Name
=
Subtle
Reference
/>
<
w
:
LsdException
Locked
=
false
Priority
=
32
QFormat
=
true
Name
=
Intense
Reference
/>
<
w
:
LsdException
Locked
=
false
Priority
=
33
QFormat
=
true
Name
=
Book
Title
/>
<
w
:
LsdException
Locked
=
false
Priority
=
37
SemiHidden
=
true
UnhideWhenUsed
=
true
Name
=
Bibliography
/>
<
w
:
LsdException
Locked
=
false
Priority
=
39
SemiHidden
=
true
UnhideWhenUsed
=
true
QFormat
=
true
Name
=
TOC
Heading
/>
<
w
:
LsdException
Locked
=
false
Priority
=
41
Name
=
Plain
Table
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
42
Name
=
Plain
Table
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
43
Name
=
Plain
Table
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
44
Name
=
Plain
Table
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
45
Name
=
Plain
Table
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
40
Name
=
Grid
Table
Light
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
Accent
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
Accent
5
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
Grid
Table
1
Light
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
Grid
Table
2
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
Grid
Table
3
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
Grid
Table
4
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
Grid
Table
5
Dark
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
Grid
Table
6
Colorful
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
Grid
Table
7
Colorful
Accent
6
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
List
Table
1
Light
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
List
Table
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
List
Table
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
List
Table
4
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
List
Table
5
Dark
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
List
Table
6
Colorful
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
List
Table
7
Colorful
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
List
Table
1
Light
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
List
Table
2
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
List
Table
3
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
List
Table
4
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
List
Table
5
Dark
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
List
Table
6
Colorful
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
List
Table
7
Colorful
Accent
1
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
List
Table
1
Light
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
List
Table
2
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
List
Table
3
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
List
Table
4
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
List
Table
5
Dark
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
51
Name
=
List
Table
6
Colorful
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
52
Name
=
List
Table
7
Colorful
Accent
2
/>
<
w
:
LsdException
Locked
=
false
Priority
=
46
Name
=
List
Table
1
Light
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
47
Name
=
List
Table
2
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
48
Name
=
List
Table
3
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
49
Name
=
List
Table
4
Accent
3
/>
<
w
:
LsdException
Locked
=
false
Priority
=
50
Name
=
List
Table
5
Dark
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Extraordinary
Individuals
are
Individuals
with
...<
br
/><
p
class
=
fragment
>...
remarkable
counting
abilities
''
such
as
Shakuntala
Devi
:
she
was
able
to
multiply
two
13
digit
numbers
in
28
seconds
in
1980
p
><
p
class
=
fragment
>...
intuitive
understanding
''
such
as
Srinivasa
Ramanujan
:
he
wrote
down
nearly
3
.
900
new
results
(
theorems
''
identities
and
equations
)
p
><
p
class
=
fragment
>...
insight
into
abstract
structures
''
such
as
Alexander
Grothendiek
:
he
worked
on
a
rebuilding
of
algebraic
geometry
p
>
Developmental
trajectory
Brain
/
Experimental
psychology
/
Psychometry
Evolutionary
plausibility
bodily
-
kinesthetic
:::
linguistic
:::
visual
-
spatial
:::
personal
intelligences
:::
musical
visual
-
spatial
personal
intelligences
bodily
-
kinesthetic
Logial
-
mathematical
thinking
and
music
?<
br
/><
p
class
=
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>
Pythagoras
 <
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Musica
Universalis
em
>
p
><
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=
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>
Rhythms
and
intuitive
counting
p
><
p
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>
Musical
notation
and
polyphony
p
><
p
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=
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>
12
-
Tone
music
and
Arnold
Schönberg
p
><
p
class
=
fragment
>
Stochastic
music
and
Iannis
Xenakis
p
><
p
class
=
fragment
>
Algorithms
and
generative
music
p
>
Logial
-
mathematical
thinking
and
language
??<
br
><
p
class
=
fragment
>
Crosslink
between
phonology
''
music
and
mathematical
description
p
><
p
class
=
fragment
>
Semantics
and
symbol
manipulation
p
><
p
class
=
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>
logics
and
reasoning
p
><
p
class
=
fragment
>
Mediator
of
mathematics
p
><
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class
=
fragment
>
Vectorization
of
language
p
>
<
p
class
=
fragment
>
Vectorization
''
stochastic
and
noise
p
><
p
class
=
fragment
>
IQ
test
p
><
p
class
=
fragment
>
Turing
test
p
><
p
class
=
fragment
>
Q
+
model
?
p
><
p
class
=
fragment
>
Non
-
computational
problems
p
>
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