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Discrete sets, as ℕ ℤ and ℚ, are in bijection within themselves, and the number of elements in them is Aleph (א) sub zero. Continuum sets as ℝ or 𝕀 are not in bijection to the former ℕ ℤ ℚ, and th...
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#4: Post edited
### from 10000 feet~~Digital is a two-valued set.~~- Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1].
- Continuum sets as ℝ or 𝕀 [are not in bijection to the former ℕ ℤ ℚ][3], and the number of elements in them is [Aleph (א) sub one][2].
- [0]: https://en.wikipedia.org/wiki/Bijection
- [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught
- [2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- [3]: https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument
- Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1].
- Continuum sets as ℝ or 𝕀 [are not in bijection to the former ℕ ℤ ℚ][3], and the number of elements in them is [Aleph (א) sub one][2].
- [0]: https://en.wikipedia.org/wiki/Bijection
- [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught
- [2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- [3]: https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument
#3: Post edited
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2020-09-13T15:17:05Z (about 4 years ago)
digital in practice uses application boolean appliances, however that's not a true fact, digital signals can be multivalued
- ### from 10000 feet
Digital is a two-valued set.- Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1].
- Continuum sets as ℝ or 𝕀 [are not in bijection to the former ℕ ℤ ℚ][3], and the number of elements in them is [Aleph (א) sub one][2].
- [0]: https://en.wikipedia.org/wiki/Bijection
- [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught
- [2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- [3]: https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument
- ### from 10000 feet
- ~~Digital is a two-valued set.~~
- Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1].
- Continuum sets as ℝ or 𝕀 [are not in bijection to the former ℕ ℤ ℚ][3], and the number of elements in them is [Aleph (א) sub one][2].
- [0]: https://en.wikipedia.org/wiki/Bijection
- [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught
- [2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- [3]: https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument
#2: Post edited
by
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·
2020-09-13T09:36:39Z (about 4 years ago)
add another wikipedia link
- ### from 10000 feet
- Digital is a two-valued set.
- Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1].
Continuum sets as ℝ or 𝕀 do not, and the number of elements in them is [Aleph (א) sub one][2].- [0]: https://en.wikipedia.org/wiki/Bijection
- [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught
[2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- ### from 10000 feet
- Digital is a two-valued set.
- Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1].
- Continuum sets as ℝ or 𝕀 [are not in bijection to the former ℕ ℤ ℚ][3], and the number of elements in them is [Aleph (א) sub one][2].
- [0]: https://en.wikipedia.org/wiki/Bijection
- [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught
- [2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- [3]: https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument
#1: Initial revision
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·
2020-09-13T09:19:57Z (about 4 years ago)
### from 10000 feet Digital is a two-valued set. Discrete sets, as ℕ ℤ and ℚ, are in [bijection][0] within themselves, and the number of elements in them is [Aleph (א) sub zero][1]. Continuum sets as ℝ or 𝕀 do not, and the number of elements in them is [Aleph (א) sub one][2]. [0]: https://en.wikipedia.org/wiki/Bijection [1]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-naught [2]: https://en.wikipedia.org/wiki/Aleph_number#Aleph-one