👂 🎴 🕸️
The
Hilbert
Problems
are
a
set
of
23
mathematical
challenges
presented
by
the
German
mathematician
David
Hilbert
in
1900
.
Aimed
at
defining
future
research
directions
''
these
problems
span
various
areas
of
mathematics
.
While
some
were
clearly
stated
''
others
were
more
open
-
ended
.
Over
the
decades
''
a
majority
of
these
problems
have
been
resolved
''
significantly
advancing
mathematical
knowledge
.
Some
led
to
the
establishment
of
entire
new
fields
of
study
.
Unresolved
-
as
of
AE53
-
Hilbert
problems
:<
p
class
=
fragment
>
Mathematical
Treatment
of
the
Axioms
of
Physics
p
><
p
class
=
fragment
>
Rigorous
Foundation
of
Schubert
'
s
Enumerative
Calculus
p
><
p
class
=
fragment
>
Topology
of
Algebraic
Curves
and
Surfaces
p
><
p
class
=
fragment
>
Analysis
of
Solutions
of
Variational
Problems
p
>
Divide
in
couples
and
discuss
with
Your
colleagues
cases
when
You
use
the
word
problem
in
daily
life
.
Pose
Yourself
questions
like
What
was
the
last
problem
I
solved
?
''
What
was
the
last
problem
I
didn
'
t
manage
to
solve
?
etc
.
From
Middle
English
probleme
''
from
Middle
French
probleme
''
from
Latin
problema
''
from
Ancient
Greek
πρόβλημα
(
próblēma
''
anything
thrown
forward
''
hindrance
''
obstacle
''
anything
projecting
''
a
headland
''
promontory
”)''
from
προβάλλω
(
probállō
''
to
throw
or
lay
something
in
front
of
someone
''
to
put
forward
”)''
from
προ
-
(
pro
-''
in
front
of
”)
+
βάλλω
(
bállō
''
to
throw
''
to
cast
''
to
hurl
”).<
br
/><
br
/>[
note
the
etymologic
similarity
to
word
project
from
Latin
projectum
something
prominent
’''
neuter
past
participle
of
proicere
throw
forth
’''
from
pro
-
forth
+
jacere
to
throw
’)]
The
Millennium
Problems
are
seven
mathematical
challenges
established
by
the
Clay
Mathematics
Institute
in
2000
''
each
with
a
prize
of
one
million
dollars
for
a
correct
solution
.
These
problems
represent
some
of
the
most
persistent
and
critical
unsolved
issues
in
mathematics
''
spanning
areas
such
as
number
theory
''
geometry
''
analysis
''
and
fluid
dynamics
.
Only
one
of
the
problems
''
the
Poincaré
Conjecture
''
has
been
solved
so
far
.
Unresolved
-
as
of
AE53
-
ones
are
:<
p
class
=
fragment
>
Birch
and
Swinnerton
-
Dyer
Conjecture
p
><
p
class
=
fragment
>
Hodge
Conjecture
p
><
p
class
=
fragment
>
Navier
Stokes
Existence
and
Smoothness
p
><
p
class
=
fragment
>
P
vs
NP
Problem
p
><
p
class
=
fragment
>
Riemann
Hypothesis
p
><
p
class
=
fragment
>
Yang
Mills
Existence
and
Mass
Gap
p
>
<
p
class
=
fragment
>
No
Definitive
Formulation
p
><
p
class
=
fragment
>
No
Stopping
Rule
p
><
p
class
=
fragment
>
Solutions
Are
Not
True
-
or
-
False
p
><
p
class
=
fragment
>
No
Immediate
and
No
Ultimate
Test
p
><
p
class
=
fragment
>
Every
Solution
is
a
'
One
-
Shot
Operation
'
p
><
p
class
=
fragment
>
No
Enumerable
(
or
Exhaustively
Describable
)
Set
of
Potential
Solutions
p
><
p
class
=
fragment
>
Every
Wicked
Problem
is
Essentially
Unique
p
><
p
class
=
fragment
>
Every
Wicked
Problem
Can
Be
Considered
to
Be
a
Symptom
of
Another
Problem
p
><
p
class
=
fragment
>
The
Existence
of
a
Discrepancy
Representing
a
Wicked
Problem
Can
Be
Explained
in
Numerous
Ways
p
><
p
class
=
fragment
>
The
Planner
Has
No
Right
to
Be
Wrong
p
>
This
is
the
set
of
problem
(
s
)
to
which
I
expose
all
my
D
&
C
students
since
AE50
.<
div
><
br
>
div
><
div
>
Hopefully
''
at
least
1
will
be
solved
during
my
lifetime
''
2
during
Your
lifetime
and
3
during
lifetime
of
my
children
.
div
>
The
Door
to
Hell
or
the
Darvaza
Gas
Crater
is
a
natural
gas
field
located
in
the
Karakum
Desert
in
Turkmenistan
.
It
has
been
burning
continuously
since
1971
when
it
was
set
on
fire
by
Soviet
geologists
to
prevent
the
spread
of
methane
gas
after
a
drilling
rig
collapsed
into
it
.<
br
><
div
><
br
>
div
><
div
>
Status
:
solvable
div
><
div
>
Approach
:
CAD
''
scientific
modeling
''
few
telephone
calls
''
trip
to
Turkmenistan
div
>
H
-
microfusor
is
a
reactor
for
deuterium
/
tritium
nuclear
fusion
whose
size
does
not
exceed
1
cubic
meter
and
which
is
able
to
persist
in
the
breakeven
state
(
Q
>=
1
)
for
at
least
1
second
.<
div
><
br
>
div
><
div
>
Approach
:
scientific
modeling
''
CAD
''
nanotechnology
div
><
div
>
Status
:
solvable
 
div
>
<
div
>
The
central
problem
of
roboethics
is
defined
as
follows
:
AI
&
robot
engineers
aim
to
construct
beings
which
will
transcend
the
faculties
of
human
 
beings
''
on
the
other
hand
''
some
unethical
acts
should
be
made
impossible
to
 
execute
for
such
artificial
beings
(
Hromada
''
2011
)
div
><
div
><
br
>
div
><
div
>
Note
:
the
central
problem
is
equivalent
''
mutatis
mutandi
''
to
much
more
famous
AI
Alignment
problem
div
>
The
Fremen
stilsuit
''
native
to
the
desert
planet
Arrakis
*''
is
a
marvel
of
engineering
.
Designed
to
conserve
moisture
''
this
full
-
body
attire
reclaims
sweat
''
breath
''
and
waste
''
converting
them
into
drinkable
water
.
Its
black
''
skin
-
tight
material
is
layered
to
reduce
heat
exposure
and
prevent
water
loss
.
Tubing
systems
distribute
reclaimed
water
to
catchpockets
''
from
which
the
wearer
can
drink
.
Breath
filters
purify
and
reclaim
moisture
''
while
a
nose
plug
ensures
no
moisture
escapes
.
Built
for
desert
survival
''
the
stilsuit
ensures
the
Fremen
can
thrive
in
Arrakis
'
harsh
environment
''
making
the
most
of
every
precious
drop
of
water
.<
div
><
br
>
div
><
div
>*
also
known
as
Terra
''
Gaia
or
Zem
etc
.
during
AD
and
AE
epochs
div
><
div
><
br
>
div
><
div
>
Inspiration
:
Frank
Herbert
''
Dune
div
><
div
><
br
>
div
>
The
Primer
is
an
almost
magical
''
book
-
like
solarpunk
artefact
with
embedded
personalized
adaptive
generative
teacher
avatar
so
advanced
that
it
is
able
to
catalyse
''
by
means
of
education
''
a
transformation
of
a
traumatized
orphan
into
a
Queen
.<
div
><
br
>
div
><
div
>
Status
:
solvable
(
provided
that
there
is
at
least
one
vacant
👑
around
)
div
><
div
>
Approach
:
fine
-
tuning
of
Large
Language
Models
''
speech
technologies
''
Raspberry
Pi
div
><
div
>
Inspiration
:
Neal
Stephenson
(
Diamond
Age
:
or
Young
Lady
'
s
Illustrated
Primer
)
div
>
<
div
>
Voynich
Manuscript
is
a
corpus
of
unknown
origin
written
down
in
unique
graphemic
system
and
potentially
representing
phonic
values
of
unknown
or
potentially
even
extinct
language
.
div
><
div
><
br
>
div
><
div
>
Status
:
solvable
div
><
div
>
Approach
:
Multi
-
modal
artificial
intelligence
''
trans
-
disciplinary
research
''
classic
cryptographic
methods
div
>
Geodetic
dome
providing
a
protective
membrane
around
highly
diversified
biosphere
above
''
around
and
 
below
Berlin
'
s
Tempelhofer
Field
. <
div
><
br
>
div
><
div
>
Status
:
solvable
div
><
div
>
Approach
:
material
research
''
architecture
''
corruption
div
>
Interconnect
processes
of
opinion
aggregation
''
expertise
integration
and
decision
-
making
so
that
at
least
some
future
social
and
political
systems
are
more
equitable
''
adaptable
and
less
prone
to
extinction
through
stupidity
.<
div
><
br
>
div
><
div
>
Status
:
wicked
div
><
div
>
Approach
:
try
in
smaller
community
''
then
expand
div
>
Common
Ecological
Protocol
is
a
SDG
*-
inspired
set
of
positives
(
DOs
)
and
negative
(
DON
'
Ts
)
principles
establishing
a
planetary
-
wide
Nash
equilibrium
between
all
human
''
institutional
''
corporate
''
artificial
and
organic
agents
.<
div
><
br
>
div
><
div
>*
SDG
=
United
Nation
'
s
Sustainable
Development
Goals
div
><
div
><
br
>
div
><
div
>
Approach
:
Game
-
Theoretical
and
Agent
-
based
simulations
div
><
div
>
Status
:
wicked
but
solvable
through
(
enforced
)
consensus
div
>
A
space
elevator
is
a
proposed
transport
system
connecting
Earth
'
s
surface
directly
to
space
using
a
tethered
cable
.
Primarily
envisioned
to
reduce
exorbitant
rocket
launch
costs
''
it
aims
to
provide
sustainable
and
energy
-
efficient
space
access
.
The
concept
requires
a
geostationary
anchor
in
space
and
a
base
on
Earth
''
connected
by
a
carbon
nanotube
or
similar
high
-
strength
cable
.
Centrifugal
forces
from
Earth
'
s
rotation
keep
the
cable
taut
.
Elevator
cars
''
powered
by
solar
energy
or
lasers
''
would
climb
this
cable
. <
div
><
br
>
div
><
div
>
Status
:
uncertain
but
decidable
div
><
div
>
Approach
:
material
research
''
modeling
''
fractal
architecture
div
>
The
tangle
is
circle
with
1m
radius
containing
different
vertically
stacked
herbs
''
veggies
''
fruits
 
and
mushrooms
which
maximize
nutritive
yield
beneficial
for
human
all
year
long
and
minimizes
the
amount
of
external
intervention
.<
div
><
br
>
div
><
div
>
Inspiration
:
Neal
Stephenson
(
Anathem
)
div
><
div
>
Aquatic
Alternative
:
The
Aquarium
div
>
<
div
>
Unsolvability
of
ECDLP
is
the
pillar
on
which
modern
asymmetric
cryptography
(
e
.
g
.
cryptocurrencies
''
communication
with
products
of
military
-
industrial
complex
etc
.)
stands
.
div
><
div
><
br
>
div
>
Status
:
uncertain
and
potentially
meta
-
unsolvable
*<
div
>
Approach
:
apt
install
sagemath
''
pen
&
paper
''
hope
<
br
><
div
><
br
>
div
><
div
>*
proof
of
ECDLP
unsolvability
is
equivalent
to
solving
the
P
=
NP
Millenium
Problem
div
>
div
>
The
Seed
''
or
Universal
Nano
-
Assembler
''
is
a
programmable
''
portable
''
self
-
sustainable
matter
compiler
of
non
-
organic
origin
able
to
reorganize
molecules
of
its
envelopping
substrate
in
such
a
manner
that
it
is
able
to
create
its
own
copy
in
less
than
one
hour
.<
div
><
br
>
div
><
div
>
Status
:
nature
can
do
it
div
><
div
>
Approach
:
MEMS
''
DNA
-
computing
''
nanotech
''
protein
design
''
AGI
div
><
div
>
Inspiration
:
Eric
Drexler
(
Engines
of
Creation
)
div
>
<
p
class
=
fragment
>
Radioactive
waste
disposal
p
><
p
class
=
fragment
>
Liberation
from
fossil
fuel
dependency
p
><
p
class
=
fragment
>
Language
extinction
p
><
p
class
=
fragment
>
Weltverständlichmachung
p
><
p
class
=
fragment
>
Unf
*
cking
the
Wohnungsmarkt
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>
The
Clock
Reform
p
>
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