History: BPFK Section: Inexact Numbers

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Proposed definitions

<br />

su'o (PA4)<br />

<br />

Proposed Definition<br />

At least (one). Some.<br /> <br />

See Also<br />

  • {su'e}<br />
  • {za'u}<br />
<br />

Proposed Keywords<br />

  • at least<br />
<br />

Usage Examples<br />

so'e lo ponjo jugle'u cu lerfu fi su'o re lo se bacru
Most Japanese kanji have at least two pronunciations.<br />

<br />

su'e (PA4)<br />

<br />

Proposed Definition<br />

At most (one).<br /> <br />

See Also<br />

  • {su'o}<br />
  • {me'i}<br />
<br />

Proposed Keywords<br />

  • at most<br />
<br />

Usage Examples<br />

la cibyska cu se kelci su'e bi remna
Tricolor is played by at most eight people.<br />

<br />

za'u (PA3)<br />

<br />

Proposed Definition<br />

More than (one).<br /> <br />

See Also<br />

  • {me'i}<br />
  • {su'o}<br />
<br />

Proposed Keywords<br />

  • more than<br />
<br />

Usage Examples<br />

lo mi dalpe'o cu za'u mei
My pets are more than one.<br />
za'u ci da cinri mi
There are more than three things that interest me.<br />
ko za'u re'u troci
Try again!<br />

<br />

me'i (PA3)<br />

<br />

Proposed Definition<br />

Less than (all). Not all.<br /> <br />

See Also<br />

  • {za'u}<br />
  • {su'e}<br />
<br />

Proposed Keywords<br />

less than<br /> <br />

Usage Examples<br />

me'i gerku cu klama lo cevzda
Not all dogs go to heaven.<br />

<br />

ji'i (PA4)<br />

<br />

Proposed Definition<br />

Approximately.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • approximately<br />
<br />

Usage Examples<br />

ji'i xa pi xa gigdo be lo remna cu xabju la terdi
Approximately 6.6 billion humans inhabit the Earth.<br />

<br />

ro (PA4)<br />

<br />

Proposed Definition<br />

Each. All. Every.<br /> <br />

See Also<br />

  • {no}<br />
<br />

Proposed Keywords<br />

  • all<br />
  • each<br />
  • every<br />
<br />

Usage Examples<br />

lo srasu ro roi ri'ozma ze'o lo bitmu
The grass is always greener on the other side of the fence.<br />

<br />

da'a (PA4)<br />

<br />

Proposed Definition<br />

All except (one).<br /> <br />

See Also<br />

  • {ro}<br />
<br />

Proposed Keywords<br />

  • all except<br />
<br />

Usage Examples<br />

da'a drata cu ci pa mei
All but one of the others are thirty-one-somes.<br />

<br />

so'a (PA4)<br />

<br />

Proposed Definition<br />

Almost all. All but a few.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • almost all<br />
<br />

Usage Examples<br />

do so'a roi lerci
You're almost always late.<br />

<br />

so'e (PA4)<br />

<br />

Proposed Definition<br />

Most. All but a significant number.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • most<br />
<br />

Usage Examples<br />

ta so'e mei
That's most of them.<br />

<br />

so'i (PA4)<br />

<br />

Proposed Definition<br />

Many. A large number.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • many<br />
<br />

Usage Examples<br />

mi ba'o cilre so'i da lo xirma lo vi cukta
I have learned a lot about horses from this book.<br />

<br />

so'o (PA4)<br />

<br />

Proposed Definition<br />

Several. A significant number.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • several<br />
<br />

Usage Examples<br />

so'o lo pendo be mi cu simlu lo ka jinvi lo du'u xamgu sidbo
Several of my friends seem to think it's a good idea.<br />

<br />

so'u (PA4)<br />

<br />

Proposed Definition<br />

A few. A small number.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • a few<br />
<br />

Usage Examples<br />

mi stali lo darno ze'a lo masti be li so'u
I stayed away for a few months.<br />

<br />

no'o (PA5)<br />

<br />

Proposed Definition<br />

A usual number. The expected number.<br /> <br />

See Also<br />

<br />

Proposed Keywords<br />

  • usual number<br />
<br />

Usage Examples<br />

ba za lo mentu be li no'o mi co'a sipna
After the usual number of minutes, I fall asleep.<br />

<br />

rau (PA4)<br />

<br />

Proposed Definition<br />

Enough. The right number.<br /> <br />

See Also<br />

  • {mo'a}<br />
  • {du'e}<br />
<br />

Proposed Keywords<br />

  • enough<br />
<br />

Usage Examples<br />

xu do pu snada lo nu cpacu lo rau kelci
Did you manage to get enough players?<br />

<br />

du'e (PA4)<br />

<br />

Proposed Definition<br />

Too many. More than the right number.<br /> <br />

See Also<br />

  • {mo'a}<br />
  • {rau}<br />
<br />

Proposed Keywords<br />

  • too many<br />
<br />

Usage Examples<br />

du'e cuntu ka'e fliba
Too many things could go wrong.<br />

<br />

mo'a (PA4)<br />

<br />

Proposed Definition<br />

Too few. Less than the right number.<br /> <br />

See Also<br />

  • {du'e}<br />
  • {rau}<br />
<br />

Proposed Keywords<br />

  • too few<br />
<br />

Usage Examples<br />

mi'a mo'a roi casnu lo ckape
We discussed the dangers too few times.<br />

<br />

Formal definitions<br />

<br />
<br />
<br />
su'o PA vei na'u zmadu ja dunli PA<br />
su'e PA vei na'u mleca ja dunli PA<br />
za'u PA vei na'u zmadu PA<br />
me'i PA vei na'u mleca PA<br />
ji'i PA vei na'u jibni PA<br />
da'a PA vei na'u se sumji be lo mulno PA<br />
<br />
ro vei ni'e mulno<br />
so'a vei ni'e muljbi<br />
so'e vei ni'e xabmau<br />
so'i vei ni'e mutce<br />
so'o vei ni'e milxe<br />
so'u vei ni'e toltce<br />
rau vei ni'e drani<br />
du'e vei ni'e dukse<br />
mo'a vei ni'e toldu'e<br />
no'o vei ni'e co'e<br />
<br />

<br />

Quantifiers<br />

<br />
<br />
definite
no pa re ci vo mu xa ze bi ... da'aci da'are da'apa ro
<br />
scalar
no [ so'u ] [ so'o ] [ so'i ] [ so'e ] [ so'a ] ro
<br />
generic
no [ no'o ] ro
<br />
subjective
[ mo'a ] [ rau ] [ du'e ]
<br />
<br />
ranges<br />
su'o PA
.......................... [PA ............................]
<br />
za'u PA
.......................... PA [............................]
<br />
su'e PA
[......................... PA] .............................
<br />
me'i PA
[.........................] PA .............................
<br />
ji'i PA
................... [...... PA ......] ........................
<br />
<br /> <br />
<br />
da'a<br />
<br />
da'a da'a PA PA<br />
<br />
da'a ro no<br />
da'a so'a so'u<br />
da'a so'e so'o<br />
da'a so'i so'i<br />
da'a so'o so'e<br />
da'a so'u so'a<br />
da'a no ro<br />
<br />
da'a rau rau<br />
da'a du'e mo'a<br />
da'a mo'a du'e<br />
<br />
da'a no'o no'o<br />
<br />
da'a su'o PA su'e da'a PA<br />
da'a su'e PA su'o da'a PA<br />
da'a za'u PA me'i da'a PA<br />
da'a me'i PA za'u da'a PA<br />
da'a ji'i PA ji'i da'a PA<br />
<br /> <br /> <br />
<br />
Definitions in terms of su'o:<br />
<br />
su'o N+1 da zo'u da broda su'o da su'o N de zo'u ge da na du de gi da .e de broda <br />
za'u N da su'o N+1 da<br />
su'e N da naku su'o N+1 da<br />
me'i N da naku su'o N da<br />
N da su'o N da .enai su'o N+1 da<br />
da'a PA da PA da naku<br />
<br /> <br /> In particular:<br /> <br /> no da = me'ipa da = naku su'o da<br /> ro da = da'ano da = no da naku = naku su'o da naku<br /> <br />
<br />
With restricted da (i.e. da poi broda):<br />
<br />
su'o da poi broda cu brode su'o da zo'u da broda gi'e brode<br />
su'o N da poi broda cu brode su'o N da zo'u da broda gi'e brode<br />
za'u N da poi broda cu brode za'u N da zo'u da broda gi'e brode<br />
su'e N da poi broda cu brode su'e N da zo'u da broda gi'e brode<br />
me'i N da poi broda cu brode me'i N da zo'u da broda gi'e brode<br />
N da poi broda cu brode N da zo'u da broda gi'e brode<br />
da'a Q da poi broda cu brode da'a Q da zo'u da broda nagi'a brode<br />
<br />

<br />

Internal grammar of quantifiers<br />

<br />
<br />
quantifier proportional / fractional<br />
<br />
fractional [prefix] pi (indefinite / definite / prefix) <br />
<br />
proportional simple & simple [fi'u (ro & definite) / ce'i] <br />
simple prefix & (indefinite / definite)<br />
<br />
prefix da'a & (su'o / su'e / me'i / za'u / ji'i) & da'a<br />
indefinite so'u / so'o / so'i / so'e / so'a / ro / mo'a / rau / du'e / no'o<br />
definite (no / pa / re / ci / vo / mu / xa / ze / bi / so / ki'o) ...<br />
<br /> <br /> [ ] indicates the enclosed element is optional<br /> ... indicates the preceding element may appear one or more times <br /> / indicates either the preceding or the following element may appear <br /> & indicates the preceding, the following or both elements may appear<br /> <br />

Defaults for bare prefix<br />

When a prefix is not followed by a definite or indefinite, a default value is understood: the default is pa for su'o, su'e, za'u and da'a; ro for me'i; and a vague number (perhaps no'o) for ji'i.<br /> <br />

Two adjacent simple quantifiers<br />

  • Two adjacent simple quantifiers are interpreted, when possible, as if joined with .e:<br />
<br /> ro ci broda <br /> all three brodas, all brodas and three brodas.<br /> <br /> rau su'o mu broda<br /> enough at least five brodas, enough brodas and at least five brodas.<br /> <br /> su'o ci su'e bi broda<br /> at least three at most eight brodas<br /> at least three brodas and at most eight brodas<br /> between three and eight brodas (inclusive)<br /> <br />
  • Two adjacent simple quantifiers are interpreted, when joining them with .e would give a contradiction, as if joined with .a:<br />
<br /> me'i ci za'u ci broda<br /> less than three more than three brodas<br /> less than three brodas or more than three brodas<br /> i.e. other than three brodas<br /> <br /> mo'a du'e broda<br /> too few too many brodas<br /> too few brodas or too many brodas<br /> the wrong number of brodas<br /> <br /> <br />

Proportional quantifiers<br />

<br /> re fi'u ci broda<br /> Two out of every three brodas.<br /> Two thirds of brodas.<br /> <br /> za'u vo fi'u mu broda<br /> More than four out of every five brodas.<br /> More than four fifths of brodas.<br /> <br /> du'a fi'u ro muno broda<br /> Too many out of all 50 broda.<br /> Too many broda, of which there are 50 in all.<br /> <br />
  • ce'i is equivalent to fi'u panono:<br />
<br /> za'u munoce'i broda<br /> More than half of all brodas.<br /> <br /> da'a cirepimu ce'i broda<br /> All but 32.5% of brodas.<br /> <br />

Fractional quantifiers<br />

<br />
<br />
piPA sumti lo piPA si'e be sumti<br />
<br /> <br /> When a sumti has a single referent (which may be a simple individual, a group, a set, etc.) then a fractional quantifier refers to a corresponding fraction of the referent. In particular, a fraction of a group or a set is a subgroup or subset whose cardinality is the corresponding fraction of the cardinality of the whole.<br /> <br /> When a sumti has more than one referent (e.g. le ci plise) then a fractional quantifier refers to a fraction of one (which one is not specified) of the referents. Then pimu le ci plise is "half of one of the three apples. Then more generally we can define:<br /> <br />
<br />
piPA sumti lo piPA si'e be pa me sumti<br />
<br /> <br /> which will also cover the case of a single referent.<br /> <br /> We may then generalize to things like repimu le ci plise for "two and a half of the three apples".<br />

History

Information Version
Mon 10 of Nov, 2014 22:44 GMT durka42 from 158.130.106.110 29
Mon 10 of Nov, 2014 22:42 GMT durka42 from 158.130.106.110 28
Mon 10 of Nov, 2014 22:40 GMT durka42 from 158.130.106.110 27
Mon 10 of Nov, 2014 22:40 GMT durka42 from 158.130.106.110 fixed negation rule formatting 26
Thu 21 of Aug, 2014 14:30 GMT Ilmen from 95.210.209.219 Adding a couple of word links. 25
Thu 21 of Aug, 2014 14:27 GMT Ilmen from 95.210.209.219 24
Thu 21 of Aug, 2014 14:26 GMT Ilmen from 95.210.209.219 Adding a note. 23
Thu 21 of Aug, 2014 14:21 GMT Ilmen from 95.210.209.219 22
Thu 21 of Aug, 2014 14:20 GMT Ilmen from 95.210.209.219 21
Thu 21 of Aug, 2014 14:19 GMT Ilmen from 95.210.209.219 20
Thu 21 of Aug, 2014 14:18 GMT Ilmen from 95.210.209.219 Word links + keywords 19
Tue 17 of Jun, 2014 21:48 GMT selpa'i from 93.220.99.115 18
Tue 17 of Jun, 2014 21:39 GMT selpa'i from 93.220.99.115 17
Tue 17 of Jun, 2014 21:35 GMT selpa'i from 93.220.99.115 16
Sun 08 of Jun, 2014 19:14 GMT mukti from 216.194.27.154 15
Fri 06 of Jun, 2014 16:40 GMT Ilmen from 213.180.252.213 PA -> PA# 14
Fri 06 of Jun, 2014 16:33 GMT Ilmen from 213.180.252.213 Adding a few more boxes 13
Fri 06 of Jun, 2014 16:29 GMT Ilmen from 213.180.252.213 Reworking the overall formatting 12
Wed 29 of Dec, 2010 07:01 GMT lindarthebard from 32.175.23.84 11
Thu 23 of Dec, 2010 08:59 GMT lindarthebard from 166.135.205.170 10
Thu 09 of Sep, 2010 23:51 GMT xorxes from 186.108.116.39 9
Thu 09 of Sep, 2010 23:32 GMT xorxes from 186.108.116.39 8
Wed 15 of Sep, 2004 16:43 GMT xorxes from 200.49.74.2 7
Wed 15 of Sep, 2004 15:39 GMT xorxes from 200.49.74.2 6
Wed 01 of Sep, 2004 20:44 GMT xorxes from 200.49.74.2 5
Tue 31 of Aug, 2004 19:51 GMT xorxes from 200.49.74.2 4
Tue 31 of Aug, 2004 19:40 GMT xorxes from 200.49.74.2 3
Mon 09 of Aug, 2004 20:39 GMT xorxes from 200.49.74.2 2
Wed 04 of Aug, 2004 19:24 GMT xorxes from 200.49.74.2 1