Greco-Roman egalitarianism
9
$begingroup$
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 2 days ago
humnhumn
14.7k442132
$endgroup$
add a comment |
9
$begingroup$
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 2 days ago
humnhumn
14.7k442132
$endgroup$
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
2 days ago
add a comment |
9
9
9
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 2 days ago
humnhumn
14.7k442132
$endgroup$
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 2 days ago
humnhumn
14.7k442132
asked 2 days ago
humnhumn
14.7k442132
edited 2 days ago
humn
asked 2 days ago
humnhumn
14.7k442132
asked 2 days ago
humnhumn
14.7k442132
asked 2 days ago
humnhumn
14.7k442132
14.7k442132
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
2 days ago
add a comment |
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
2 days ago
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
2 days ago
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
2 days ago
add a comment |
1 Answer
1
active
oldest
votes
6
$begingroup$
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 2 days ago
noednenoedne
7,75712160
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
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
yesterday
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
6
$begingroup$
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 2 days ago
noednenoedne
7,75712160
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
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
yesterday
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
add a comment |
6
$begingroup$
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 2 days ago
noednenoedne
7,75712160
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
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
yesterday
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
add a comment |
6
6
6
$begingroup$
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 2 days ago
noednenoedne
7,75712160
$endgroup$
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 2 days ago
noednenoedne
7,75712160
edited 2 days ago
answered 2 days ago
noednenoedne
7,75712160
answered 2 days ago
noednenoedne
7,75712160
answered 2 days ago
noednenoedne
7,75712160
7,75712160
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
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
yesterday
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
add a comment |
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
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
yesterday
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
2
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
2 days ago
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
yesterday
$begingroup$
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
yesterday
1
1
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
yesterday
add a comment |
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$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
2 days ago