Greco-Roman egalitarianism












8












$begingroup$


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
    9 hours ago
















8












$begingroup$


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
    9 hours ago














8












8








8


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 9 hours ago







humn

















asked 9 hours ago









humnhumn

14.7k442132




14.7k442132












  • $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    9 hours ago


















  • $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    9 hours ago
















$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
9 hours ago




$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
9 hours ago










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







share|improve this answer











$endgroup$









  • 2




    $begingroup$
    @humn Is IL a valid Roman numeral?
    $endgroup$
    – noedne
    9 hours ago










  • $begingroup$
    Got me. @noedne! Formally it would be XLIX, which would overflow.
    $endgroup$
    – humn
    9 hours 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
    5 hours ago






  • 1




    $begingroup$
    @HenningMakholm Very interesting!
    $endgroup$
    – noedne
    5 hours ago











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1 Answer
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active

oldest

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1 Answer
1






active

oldest

votes









active

oldest

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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







share|improve this answer











$endgroup$









  • 2




    $begingroup$
    @humn Is IL a valid Roman numeral?
    $endgroup$
    – noedne
    9 hours ago










  • $begingroup$
    Got me. @noedne! Formally it would be XLIX, which would overflow.
    $endgroup$
    – humn
    9 hours 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
    5 hours ago






  • 1




    $begingroup$
    @HenningMakholm Very interesting!
    $endgroup$
    – noedne
    5 hours ago
















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







share|improve this answer











$endgroup$









  • 2




    $begingroup$
    @humn Is IL a valid Roman numeral?
    $endgroup$
    – noedne
    9 hours ago










  • $begingroup$
    Got me. @noedne! Formally it would be XLIX, which would overflow.
    $endgroup$
    – humn
    9 hours 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
    5 hours ago






  • 1




    $begingroup$
    @HenningMakholm Very interesting!
    $endgroup$
    – noedne
    5 hours ago














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







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 8 hours ago

























answered 9 hours ago









noednenoedne

7,50212159




7,50212159








  • 2




    $begingroup$
    @humn Is IL a valid Roman numeral?
    $endgroup$
    – noedne
    9 hours ago










  • $begingroup$
    Got me. @noedne! Formally it would be XLIX, which would overflow.
    $endgroup$
    – humn
    9 hours 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
    5 hours ago






  • 1




    $begingroup$
    @HenningMakholm Very interesting!
    $endgroup$
    – noedne
    5 hours ago














  • 2




    $begingroup$
    @humn Is IL a valid Roman numeral?
    $endgroup$
    – noedne
    9 hours ago










  • $begingroup$
    Got me. @noedne! Formally it would be XLIX, which would overflow.
    $endgroup$
    – humn
    9 hours 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
    5 hours ago






  • 1




    $begingroup$
    @HenningMakholm Very interesting!
    $endgroup$
    – noedne
    5 hours ago








2




2




$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
9 hours ago




$begingroup$
@humn Is IL a valid Roman numeral?
$endgroup$
– noedne
9 hours ago












$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
9 hours ago






$begingroup$
Got me. @noedne! Formally it would be XLIX, which would overflow.
$endgroup$
– humn
9 hours 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
5 hours ago




$begingroup$
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
5 hours ago




1




1




$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
5 hours ago




$begingroup$
@HenningMakholm Very interesting!
$endgroup$
– noedne
5 hours ago


















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