Martin D Kealey wrote:
George Boole also worked in several areas of mathematics. One of those was
what he termed "algebra of logic", hence "Boolean algebra" as mathematicians
know it now.
But what we (programmers) call "Boolean", although in line with his original
concept, is a pale shadow of wh
At 10:25 +1300 3/17/10, Martin D Kealey wrote:
>On Mon, 15 Mar 2010, Mark J. Reed wrote:
>> > Anything that can be made into a list is discrete.
>>
>> Not quite, since you can create lists whose members belong to
>> continuous sets, e.g. real numbers. Anything that naturally forms a
>> list, mayb
On Mon, 15 Mar 2010, Mark J. Reed wrote:
> > Anything that can be made into a list is discrete.
>
> Not quite, since you can create lists whose members belong to
> continuous sets, e.g. real numbers. Anything that naturally forms a
> list, maybe.
A discrete non-finite set is isomorphic to the se
On Sun, 14 Mar 2010, Jon Lang wrote:
> Ruud H.G. van Tol wrote:
> > Did you consider "discrete"?
>
> I think that "Discrete" could work quite well as the role that
> encapsulates the ways in which Integer and Gauss are alike. It may
> even be genralizable beyond that, although there might be some
On Sun, Mar 14, 2010 at 11:26 PM, Doug McNutt wrote:
> Anything that can be made into a list is discrete.
Not quite, since you can create lists whose members belong to
continuous sets, e.g. real numbers. Anything that naturally forms a
list, maybe.
> The other option is a function in the sense
At 18:14 -0800 3/14/10, Jon Lang wrote:
>There are discrete things that are not ordered (such as gaussian
>integers), and there are ordered things that are not discrete (such as
>real numbers or strings).
The word discrete as in "atoms are the discrete view of matter" may turn out to
be confusin
Jon Lang wrote:
Remember also: we're putting together the Perl 6 core here; we need to
show some discretion in terms of what to include vs. what gets "farmed
out" to perl 6 modules. I suspect that gaussian integers belong
firmly in the latter camp; as such, they are germane to discussions
about
Darren Duncan wrote:
> I'm inclined to consider a "Discrete" to be broad enough to include Boolean,
> as well as every single enum type in general; it would also include Order,
> say. So I would also then add a more specific something, say
> "DiscreteNumeric".
There are discrete things that are n
Jon Lang wrote:
Ruud H.G. van Tol wrote:
Did you consider "discrete"?
I think that "Discrete" could work quite well as the role that
encapsulates the ways in which Integer and Gauss are alike. It may
even be genralizable beyond that, although there might be some discord
between theory and pra
Ruud H.G. van Tol wrote:
> Did you consider "discrete"?
I think that "Discrete" could work quite well as the role that
encapsulates the ways in which Integer and Gauss are alike. It may
even be genralizable beyond that, although there might be some discord
between theory and practice. (In theory
Darren Duncan wrote:
For the integer version, my understanding is that number theory already
provides a suitable term, "Gaussian integer", which is a complex number
whose real and imaginary parts are both integers.
So I suggest using "Gaussian" as the name option for an "IntComplex".
Or mayb
> "DD" == Darren Duncan writes:
Some tiny thoughts:
DD> ... I would consider "Numeric" more broad, such as to include
DD> anything that might conceivably be called a number, probably
DD> user-defined, that isn't representable by a "complex".
Is Numeric intended to have a guarantee of commut
Jon, thanks for your feedback; it was both informative and supportive.
Jon Lang wrote:
Darren Duncan wrote:
2. There doesn't seem to be a role for "complex" as there is for "integer"
or "rational" or "real" or "numeric". So, if the boxed Perl complex number
is called "Complex" and the machine
Darren Duncan wrote:
> 2. There doesn't seem to be a role for "complex" as there is for "integer"
> or "rational" or "real" or "numeric". So, if the boxed Perl complex number
> is called "Complex" and the machine native one is called "complex" or
> "complex128" or whatever, what would one name th
Follow-up, ...
4. If "Integral" is better called "Integer", or regardless ...
Would "Numeric" be better called "Number"? Would there by any objection to
renaming it such? What are advantages of the former over the latter?
Basically, same idea, if we're going more for nouns or adjectives ro
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