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Greco-Roman egalitarianism
A cunning involutionA Simple Puzzle - A bus DriverI don't exist yet. Help me fix that!The magical water drumAn eager refusalThe followed and the followerHow to tell one's right/leftThe round tableReading in the dark, faster than lightGuess a common 5-letter word!
$begingroup$
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 yesterday
humnhumn
14.7k442132
$endgroup$
add a comment |
$begingroup$
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 yesterday
humnhumn
14.7k442132
$endgroup$
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
yesterday
add a comment |
$begingroup$
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 yesterday
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 yesterday
humnhumn
14.7k442132
asked yesterday
humnhumn
14.7k442132
edited yesterday
humn
asked yesterday
humnhumn
14.7k442132
asked yesterday
humnhumn
14.7k442132
asked yesterday
humnhumn
14.7k442132
14.7k442132
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
yesterday
add a comment |
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
yesterday
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
yesterday
$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
yesterday
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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 yesterday
noednenoedne
7,60212160
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
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 |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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 yesterday
noednenoedne
7,60212160
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
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 |
$begingroup$
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 yesterday
noednenoedne
7,60212160
$endgroup$
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
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 |
$begingroup$
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 yesterday
noednenoedne
7,60212160
$endgroup$
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 yesterday
noednenoedne
7,60212160
edited yesterday
answered yesterday
noednenoedne
7,60212160
answered yesterday
noednenoedne
7,60212160
answered yesterday
noednenoedne
7,60212160
7,60212160
2
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
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
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
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
yesterday
$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
yesterday
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
yesterday