Lojban
The Logical Language
Log in
Username:
Password:
I forgot my password |
CapsLock is on.
Log in
History: ckinytadji
View page
Source of version: 3
(current)
!! Toward a quantitative form of Lojban !!!ckinytadji selsku * ''((fy. fancu lo'i ni terzu'e lo'i ni selsnada .ije li ma'o fy.boi du'e du li mo'a))'' How can we express "Too many goals means too few accomplishments" in a quantitative form? *''((fancu le'i nu funca))'' It depends on luck. !!!ckinytadji vlaselcmi ((math terminology)) proposes some technical terms, but it's light on words that are useful in everyday life. I think there are plenty; I'm starting this list. ''mi'e ((jezrax))'' (I think ((xod)) added most of this.) * ''selcmi'', ''klesi'' (sets) ** superset - ''selkle'' ** set, subset - ''klesi'' ** proper subset - ''nalrolmeilei'' (from the ((jvoste))) **''cmima'' x1 is a member of set x2 [[x1 may be a complete or incomplete list of members; x2 is normally marked by la'i/le'i/lo'i, defining the set in terms of its common property(ies), though it may be a complete enumeration of the membership]; **''gripau'' x1 is a subset of set x2 [[girzu pagbu, set-part] ** disjoint - ** overlapping (with non-empty intersection) - Note: ''klesi'' is a set defined by a rule; ''selcmi'' is a set defined by its membership. * ''fancu'' (functions) ** monotonically increasing - ''farstodi zenba'' ** monotonically decreasing - ''farstodi jdika'' ** bounded above - ''galseljimte'' ** bounded below - ''dziseljimte'' * ''cuncmaci'' (statistics) ** statistically independent - ** correlated - **''fadytercu'o'' x1 = cunso3 (set) follows a Gaussian probability distribution with independent variable x2 = cunso * Simple relationships ''(zbepi terki'i)'' **''du'' x1 is identical to x2, x3, x4, ... **''dunli'' x1 is equal/congruent to x2 in/on property/quality/dimension/quantity x3 [[same in quantity/quality (not necessarily in identity); 'analogy' may be expressed as the equivalence of two properties of similarity (ka x1 simsa x2) and (ka x3 simsa x4)] (.ua zo du cu dunli jenai du zo dunli .i le si'o du kei cu du le si'o dunli fi ko le ka bu'a) **''mleca'' x1 is less than x2 in property/quantity x3 (ka/ni) by amount x4 [[also negative (= nonme'a)]; **''jdika'' x1 (experiencer) decreases/contracts/is reduced/diminished in property/quantity x2 by amount x3 **''zmadu'' x1 is greater than x2 [[also positive (= nonmau)]; **''zenba'' x1 (experiencer) increases/is incremented/augmented in property/quantity x2 by amount x3 **''dubjavme'a'' x1 is less than or equal to x2 [[du ja mleca, equal or less] *** or ''nalmau'' x1 is not greater than x2 **''dubjavmau'' x1 is greater than or equal to x2 [[du ja zmadu, equal or greater] *** or ''nalme'a'' x1 is not less than x2 **''tamdu'i'' x1 is similar to x2 [[tarmi dunli, shape-equal] **''turdu'i'' x1 is isomorphic to x2 [[stura dunli, structure-equal] **''pabdu'i'' x1 is proportional to x2 [[parbi dunli, ratio-equal] **''na'ujbi'' x1 is approximately equal to [[namcu jibni, number-near] **''lamji'' x1 is adjacent/beside/next to/in contact with x2 in property/sequence x3 in direction x4 [[also touching, contiguous, against]; * Assorted useful brivla ''(vrici selpli brivla)'' **fancu x1 is a function/single-valued mapping from domain x2 to range x3 defined by expression/rule x4 (ru'a le fancu cu cmene le velfancu) **manri x1 is a frame of reference/standard for observing/measuring/determining x2, with/by rules x3 **ckilu x1 (si'o) is a scale of units for measuring/observing/determining x2 (state) **cimde x1 (property - ka) is a dimension of space/object x2 according to rules/model x3 **morna x1 is/reflects/represents a pattern of forms/events x2 arranged according to structure x3 [[x3 is a [[model] for x1 (= termontai, or the more abstract = termonsi'o); **mokca x1 is a point/instant/moment [[0-dimensional shape/form] in/on/at time/place x2 **linji x1 is a line/among lines [[1-dimensional shape/form] defined by set of points x2. [[ray/vector (farli'i or porli'i)] **plita x1 is a plane [[2-dimensional shape/form] defined by points x2 (set); x1 is flat/[[smooth]. [[also: x1 is even/planar/level]; (x2 is a set of points at least sufficient to define the plane) **canlu x1 is space/volume/region/room [[at-least-3-dimensional area] occupied by x2. [[also occupy (= selca'u)] * Logical Inference (see ((logical induction & deduction))) **deduction: ''nibli, ja'o'' **induction: ''sucta, su'a'' **abduction: ''tolsucta, su'anai'' ---- !!!ckinytadji nalca'ima'o * '''(( JAhA + CAI|ja'axi )) [[NA]:''' bridi truth value scalar * '''((xoi'a)) [[PU]:''' increasing linearly over time **''la papri xoi'a pelxu'' The page is yellowing. * '''((xoi'e)) [[PU]:''' exponential increasing **''do xoi'e lojbo certu'' You're learning Lojban at an exponential rate. * Semantically, ''xoi'a''/''xoi'e'' belong in ZAhO, since they deal with change in truth over time. For example, ''co'a'' is change from categorically false to categorically true. ''xoi'a''/''xoi'e'' deal with rates of increase in degree of truth. However, there are several possible rates of increase, and there is also the possibility of decrease, so I think this domain of meaning requires some more comprehensive proposal than simply these two cmavo. --((And))
About
Introduction
What Others Say
FAQ
Learning
Books
Vocabulary
Lojbanic Software
Community
Web/Email Forums
IRC Chat
Links
News
Dictionary
Swag
Multimedia
Lojbanic Texts
Audio
Wiki
Recent Changes
Popular Pages
How To Edit
The LLG
Official Projects
Publications
Donate!
Contact Us
Search Lojban Resources