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Greco-Roman egalitarianism



Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)
Announcing the arrival of Valued Associate #679: Cesar Manara
Unicorn Meta Zoo #1: Why another podcast?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!










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.










share|improve this question











$endgroup$











  • $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    Mar 24 at 19:52















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.










share|improve this question











$endgroup$











  • $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    Mar 24 at 19:52













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.










share|improve this question











$endgroup$




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






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 24 at 20:00







humn

















asked Mar 24 at 19:52









humnhumn

14.9k442133




14.9k442133











  • $begingroup$
    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




$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 19:52










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







share|improve this answer











$endgroup$








  • 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











Your Answer








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1 Answer
1






active

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







share|improve this answer











$endgroup$








  • 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















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







share|improve this answer











$endgroup$








  • 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













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







share|improve this answer











$endgroup$



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








share|improve this answer














share|improve this answer



share|improve this answer








edited Mar 24 at 20:52

























answered Mar 24 at 20:01









noednenoedne

9,56512666




9,56512666







  • 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




    $begingroup$
    @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

















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