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  • What is this math symbol called? - Mathematics Stack Exchange
    Kind of like how the Canadians call the letter z "zed" All it means is "x sub zero", just another way of saying the same thing It does flow better though, I think "sub zero" just takes so much more work to say I do think "naught" and "not" have similar meaning though - the absence of something, some value or quality
  • What is the standard LaTeX depiction of G naught?
    The word "naught" in English means "nill", "nothing", or, well, "zero"! Thus, based on its mode of speaking, it makes more sense to write G^0 than G^\circ This has not been covered before so I am asking it now
  • elementary set theory - What does this symbol mean in this context . . .
    $\begingroup$ $\aleph_0$ ("aleph-naught") is the smallest infinite cardinal, the cardinality of the set of natural numbers $\endgroup$ – André Nicolas Commented Nov 17, 2015 at 7:35
  • How to write $\aleph$ by hand - Mathematics Stack Exchange
    This is the letter א as commonly taught to schoolchildren in Israel: If I remember correctly, we used to draw the main diagonal first, starting at the top left, then the upper arm starting from the top and angling towards the main line, then the lower leg starting from the main diagonal and curving downwards
  • What are Aleph numbers intuitively? - Mathematics Stack Exchange
    I cannot get my head around the concept of the `types' of Aleph infinity What is an easy intuitive way to see when you are given the integer numbers $\\aleph_0$ the $\\aleph_1$ will follow?
  • Proof that aleph null is the smallest transfinite number?
    The wikipedia page on the cardinal numbers says that $\\aleph_0$, the cardinality of the set of natural numbers, is the smallest transfinite number It doesn't provide a proof Similarly, this page
  • Why are Aleph numbers by definition of the form $2^x$?
    $\begingroup$ One way to explain the motiviation behind the continuum hypothesis is that the cardinality of the set of natural numbers is $\aleph_0$, and it is easy to prove that the cardinality of the set of real numbers, often called $\mathfrak c$, is $2^{\aleph_0}$
  • What does the letter epsilon signify in mathematics?
    $\begingroup$ Historically, the symbol $\in$ is derived from $\epsilon$, thus it is not impossible to confuse both symbols Also, not as ubiquitous as its primary usage, this Greek symbol $\epsilon$ or $\varepsilon$ is also used to denote the sign, including Levi-Civita symbol in physics and random sign in probability to name a few $\endgroup$
  • elementary set theory - Mathematics Stack Exchange
    There is no problem that the symbol $\mathbb{N}$ denotes the set of natural numbers (By convention, the number $0$ may or may not be in the set ) The aleph null $\aleph_0$ is defined as the "cardinality" of the set $\mathbb{N}$ This Wikipedia article says that $\omega$ is the first infinite ordinal
  • notation - Symbol for the cardinality of the continuum - Mathematics . . .
    The usual symbol for the cardinality of the continuum (i e the real numbers) is Fraktur $\mathfrak{c}$ However, I recall some sources also using $\aleph$ (with no subscript) This usage is not mentioned in Wikipedia or Mathworld, but I found some support for it over Google Is the $\aleph$ notation standard?





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