Greco-Roman egalitarianism
10
$begingroup$
Athenian democracy
is a cornerstone of egalitarianism. One person, one vote. Everyone.
Here's something, though, Athenians mightn't've imagined:
I = II = III
IV = V = VI = VII = VIII
IX = X = XI = XII = XIII
XIV = XV = XVI = XVII = XVIII = IL = L = LI = LII = LIII
XIX = XX = XXI = XXII = XXIII = ... ?
XXIV = XXV = XXVI = XXVII = XXVIII = ... ?
XXIX = XXX = XXXI = XXXII = XXXIII = ... ?
Can you imagine it?
Please fill in the right side ... ?s and explain.
lateral-thinking
asked Mar 24 at 19:52
humnhumn
14.8k442133
$endgroup$
add a comment |
10
$begingroup$
Athenian democracy
is a cornerstone of egalitarianism. One person, one vote. Everyone.
Here's something, though, Athenians mightn't've imagined:
I = II = III
IV = V = VI = VII = VIII
IX = X = XI = XII = XIII
XIV = XV = XVI = XVII = XVIII = IL = L = LI = LII = LIII
XIX = XX = XXI = XXII = XXIII = ... ?
XXIV = XXV = XXVI = XXVII = XXVIII = ... ?
XXIX = XXX = XXXI = XXXII = XXXIII = ... ?
Can you imagine it?
Please fill in the right side ... ?s and explain.
lateral-thinking
asked Mar 24 at 19:52
humnhumn
14.8k442133
$endgroup$
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52
add a comment |
10
10
10
1
$begingroup$
Athenian democracy
is a cornerstone of egalitarianism. One person, one vote. Everyone.
Here's something, though, Athenians mightn't've imagined:
I = II = III
IV = V = VI = VII = VIII
IX = X = XI = XII = XIII
XIV = XV = XVI = XVII = XVIII = IL = L = LI = LII = LIII
XIX = XX = XXI = XXII = XXIII = ... ?
XXIV = XXV = XXVI = XXVII = XXVIII = ... ?
XXIX = XXX = XXXI = XXXII = XXXIII = ... ?
Can you imagine it?
Please fill in the right side ... ?s and explain.
lateral-thinking
asked Mar 24 at 19:52
humnhumn
14.8k442133
$endgroup$
Athenian democracy
is a cornerstone of egalitarianism. One person, one vote. Everyone.
Here's something, though, Athenians mightn't've imagined:
I = II = III
IV = V = VI = VII = VIII
IX = X = XI = XII = XIII
XIV = XV = XVI = XVII = XVIII = IL = L = LI = LII = LIII
XIX = XX = XXI = XXII = XXIII = ... ?
XXIV = XXV = XXVI = XXVII = XXVIII = ... ?
XXIX = XXX = XXXI = XXXII = XXXIII = ... ?
Can you imagine it?
Please fill in the right side ... ?s and explain.
lateral-thinking
lateral-thinking
asked Mar 24 at 19:52
humnhumn
14.8k442133
asked Mar 24 at 19:52
humnhumn
14.8k442133
edited Mar 24 at 20:00
humn
asked Mar 24 at 19:52
humnhumn
14.8k442133
asked Mar 24 at 19:52
humnhumn
14.8k442133
asked Mar 24 at 19:52
humnhumn
14.8k442133
14.8k442133
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52
add a comment |
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52
add a comment |
1 Answer
1
active
oldest
votes
7
$begingroup$
Equal numbers are those with
equal products of Roman numerals
so the blanks are
IC = C = CI = CII = CIII
ID = D = DI = DII = DIII
IM = M = MI = MII = MIII
answered Mar 24 at 20:01
noednenoedne
8,32912365
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
2
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
add a comment |
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1 Answer
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oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
7
$begingroup$
Equal numbers are those with
equal products of Roman numerals
so the blanks are
IC = C = CI = CII = CIII
ID = D = DI = DII = DIII
IM = M = MI = MII = MIII
answered Mar 24 at 20:01
noednenoedne
8,32912365
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
2
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
add a comment |
7
$begingroup$
Equal numbers are those with
equal products of Roman numerals
so the blanks are
IC = C = CI = CII = CIII
ID = D = DI = DII = DIII
IM = M = MI = MII = MIII
answered Mar 24 at 20:01
noednenoedne
8,32912365
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
2
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
add a comment |
7
7
7
$begingroup$
Equal numbers are those with
equal products of Roman numerals
so the blanks are
IC = C = CI = CII = CIII
ID = D = DI = DII = DIII
IM = M = MI = MII = MIII
answered Mar 24 at 20:01
noednenoedne
8,32912365
$endgroup$
Equal numbers are those with
equal products of Roman numerals
so the blanks are
IC = C = CI = CII = CIII
ID = D = DI = DII = DIII
IM = M = MI = MII = MIII
answered Mar 24 at 20:01
noednenoedne
8,32912365
edited Mar 24 at 20:52
answered Mar 24 at 20:01
noednenoedne
8,32912365
answered Mar 24 at 20:01
noednenoedne
8,32912365
answered Mar 24 at 20:01
noednenoedne
8,32912365
8,32912365
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
2
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
add a comment |
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
2
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
2
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
Mar 24 at 20:04
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
Mar 24 at 20:08
2
2
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
$begingroup$
The ancient Romans never bothered (as far as the surviving sources tell us) to agree on a particular authoritative specification for how their notation for numbers worked -- and in the absence of that, speaking about "valid" representations misses the point somewhat. It's certainly true that the modern tradition tends to frown on notations such as IL, but the actual Roman practice was less rigid than that. (For example there is apparently one attested use of XXCIIII for 84).
$endgroup$
– Henning Makholm
Mar 24 at 23:39
1
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
Mar 24 at 23:45
add a comment |
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$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52