Las Matemáticas — Mathematics

[laepelba]

Originally Posted by irmamar

Un conjunto es contable o numerable si es finito.

Did you say here that a set is "countable" if it is "finite"? I do not agree. The set of natural numbers is countable, AND it is infinite. Likewise the set of rational numbers. Likewise the set of positive, even numbers. And so on....

[irmamar]

Many years have passed since I studied 'teoría de conjuntos', but not all the infinite sets are countable, are they? The points of a straight line are not countable (son no contables). Rational or natural numbers set are countable, but not real numbers set (or I think so). Well, you'll know better than I.

[laepelba]

No, for example, the irrational numbers are both infinite AND uncountable. In fact, between any two natural numbers there are an uncountable and infinite number of irrational numbers.

[irmamar]

Thanks . I should revise my rusty maths.

[laepelba]

Nah - since when do you need to know the countability or non-countability of finite sets?

[irmamar]

I had to study hard maths and I liked them. But when I changed my degree (I was studying Computer Engineering) I forgot all that I studied so hard. So I think it must be somewhere in my brain and, when I'll finish my current degree, I want to go back with which I left (if I feel like then, of course).

[Perikles]

I might get into trouble for this:

Originally Posted by irmamar

I had to study hard for maths and I liked them it (singular). But when I changed my degree (I was studying Computer Engineering) I forgot all that I studied so hard. So I think it must be somewhere in my brain and, when I'll I (present) finish my current degree, I want to go back with which to the one I left (if I feel like it then, of course).

[Cloudgazer]

Originally Posted by irmamar

Un conjunto es contable o numerable si es finito.

Esto es verdad (por definición).

Originally Posted by laepelba

Did you say here that a set is "countable" if it is "finite"? I do not agree. The set of natural numbers is countable, AND it is infinite. Likewise the set of rational numbers. Likewise the set of positive, even numbers. And so on....

Fíjate en que Irma no dijiste "si y sólo si", es decir, "sii" o "iff", sólo dijiste "si". Un conjunto tiene que ser numerable si es finito. Su afirmación no dice nada acerca de las propiedades de los conjuntos infinitos, que pueden ser numerables o no, como nos has apuntado.

[pjt33]

Originally Posted by Perikles

I might get into trouble for this:

I think the initial correction is wrong. I understood it rather as "I had to study advanced maths".

[irmamar]

My dear Cloud. Welcome back

Yes, that '<=>' . How do you say "si y sólo si" in English? If and only if?

Perikles, later I'll talk to you... seriously.

[Perikles]

Originally Posted by pjt33

I think the initial correction is wrong. I understood it rather as "I had to study advanced maths".

Ah yes - makes more sense.

Originally Posted by irmamar

. How do you say "si y sólo si" in English? If and only if? ".

Yes - if and only if, shortened to iff amongst mathematicians (especially when using txt msgs.)

Originally Posted by pjt33

Perikles, later I'll talk to you... seriously.

[laepelba]

Yes, it's "if and only if", and he's most definitely correct about that. Your statement with the "if" is correct as stands. Wow - I've been teaching Algebra 1 for tooooooo long!

[pjt33]

Originally Posted by Perikles

Get your attributions right, sir!

[Perikles]

Originally Posted by pjt33

Get your attributions right, sir!

Ooops. How the hell did that happen?

[laepelba]

Would it be possible to add the following to the list of "fields":

• Geometry
• Analysis
• Topology
• Probability
• Statistics
• Discrete Mathematics
• Number Theory
• Arithmetic
• Combinatorics
• Differential Equations
• Logic

Thanks!!

[AngelicaDeAlquezar]

That's too long to be done just like that. You can make the lists of the vocabulary you want to learn and then we'll be able to help you find the equivalents, so they'll be added to the tables.

[Cloudgazer]

Had a spare moment, so:

Geometría (la) = Geometry
Análisis (el) = Analysis
Topología (la) = Topology
Probabilidad (la) = Probability
Estadística (la) = Statistics
Matemática discreta (la) = Discrete Mathematics
Teoría de números (la) = Number Theory
Aritmética (la) = Arithmetic
Combinatoria (la) = Combinatorics
Ecuaciones diferenciales (las) = Differential Equations
Lógica (la) = Logic

[AngelicaDeAlquezar]

Thank you, Cloud... I thought she wanted to have vocabulary of each field added.

I'll insert them later, when I have some spare time to format the tables.

[laepelba]

Thanks, both of you! Sorry I mis-stated my request, Malila. I definitely wouldn't have asked for vocabulary without specifying. The other day I found myself wanting to talk about the field of study of "Statistics" in general, and realized that I don't know the names of most of the fields of study within the umbrella of Mathematics when speaking Spanish. Thanks so much, Cloudy.

This comprehensive page of mathematical terms comes in very handy. I fully intend to add vocabulary to it from some lists that I have (especially Algebra vocabulary) when I have some free time......

[Cloudgazer]

No hay de qué.