Indefinite vs. Indeterminate — What's the Difference?

Lasting for an unknown or unstated length of time

Not exactly known, established, or defined

Not clearly expressed or defined; vague

(of a shoot) not having all the axes terminating in a flower bud and so potentially of indefinite length.

Unclear; vague.

Not precisely determined, determinable, or established

Lacking precise limits

Not precisely fixed, as to extent, size, nature, or number

Uncertain; undecided

Lacking clarity or precision, as in meaning; vague

Without limit; forever, or until further notice; not definite.

Not fixed or known in advance

Vague or unclear.

Not leading up to a definite result or ending

Undecided or uncertain.

(Botany) Not terminating in a flower and continuing to grow at the apex

(mathematics) Being an integral without specified limits.

(Mathematics) Having more than one variable and an infinite number of solutions, such as the equation 5x2 + 3y = 10.

Not accurately determined or determinable.

(grammar) A word or phrase that designates an unspecified or unidentified person or thing or group of persons or things.

Imprecise or vague.

Not definite; not limited, defined, or specified; not explicit; not determined or fixed upon; not precise; uncertain; vague; confused; obscure; as, an indefinite time, plan, etc.

Not definitively or precisely determined, because of the presence of infinity or zero symbols used in any of several improper combinations.

Having no determined or certain limits; large and unmeasured, though not infinite; unlimited; as, indefinite space; the indefinite extension of a straight line.

With no genetically defined end, and thus theoretically limitless.

Boundless; infinite.

Not topped with some form of terminal bud.

Too numerous or variable to make a particular enumeration important; - said of the parts of a flower, and the like. Also, indeterminate.

Intersex.

Vague or not clearly defined or stated;

(architecture) Designed to allow the incorporation of future changes whose nature is not yet known.

Not decided or not known;

A symbol that resembles a variable or parameter but is used purely formally and neither signifies nor is ever assigned a particular value;
(loose sense) a variable.

Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years.

Not precisely determined or established; not fixed or known in advance;

Having a capacity for continuing to grow at the apex;

Of uncertain or ambiguous nature;

Not capable of being determined;

Not leading to a definite ending or result;