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Mar
4
comment why do we use 'non-increasing' instead of decreasing?
@Patrick I am horrified to hear that. that an ambiguous word might might refers to something other than the weakest form, unless otherwise specified, is just not logical.
Mar
4
comment why do we use 'non-increasing' instead of decreasing?
@GEdgar and this is insane. that's not a consistent way to deal with ambiguity. The only consistent way to deal with ambiguity is to assume that the reality described by it is the weakest form. This is logic 101.
Mar
4
awarded  Scholar
Mar
4
accepted why do we use 'non-increasing' instead of decreasing?
Mar
4
comment why do we use 'non-increasing' instead of decreasing?
As a side question, is it a modern convention, or something from before ? What concerns me the most is younger people learning that. Weak minds will just be confused and drop off learning stuff. Those those with common sense will rightfully think that their teacher are a joke.
Mar
4
comment why do we use 'non-increasing' instead of decreasing?
@steve Using only "strictly increasing" and "weakly increasing" will be my personal rule to avoid spreading the disease. The convention that, unless specified otherwise, increasing, or any other word, do relate to weakest definition compatible with the said word seems only plain sound logic to me. If we allow ourselves to say that a word implies something other than the weakest concept compatible with it, then chaos ensues, as each person will claim it should be assumed that his own "stronger" version of the concept should holds implicitely.
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@Pierre-YvesGaillard I would not un-hold it against you
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@Pierre-YvesGaillard. good to know, it is only here. I can move on.
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
Is this terminology a recent thing, or a persistence of the past ?
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
following the 'other' terminology, it would make "A weakly included in B" be phrased as "A non-including B", while the "non-including" itself is a non total order, I can imagine the weird sets of 'rules' that one has to devise...
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
Wait. when one says "A is included in B" in english math, it might mean strict inclusion ?
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
Got it. there are 2 systems. As for myself, I definitely favor the one that preserves the (not (non (xxx)) = xxx. The promotors of the other system are not patriots. I suspect KGB.
Mar
3
revised why do we use 'non-increasing' instead of decreasing?
added 910 characters in body
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@joriki anyway, at least there are some commonly known non ambiguous words for this notion. "weakly increasing" and "strictly increasing". I will use them. thank you.
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@joriki so the meaning of "increasing" depends on the person who says it ? (I mean, I understand, the 'non-increasing' stuff is flawed)
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@joriki ok so it is not "less" and "non-more". another inconsistency within english-math. I mean it's better otherwise it can go nuts with all the subcases.
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@joriki there must be some english expression for "x < y" and "x <= y"....
Mar
3
comment why do we use 'non-increasing' instead of decreasing?
@joriki I mean, Are the name in english math for "x < y" and "x <= y" "non-superior" and "inferior" ? or inferior and strictly inferior ?
Mar
3
awarded  Student
Mar
3
awarded  Commentator